6-11, 6-4, 6-10, 6-3

THE FIDE LAWS OF CHESS. Introduction FIDE Laws of Chess cover over-the-board play. The Laws of Chess have two parts: 1. Basic Rules of Play and 2. Competitive Rules of Play. The English text is the authentic version of the Laws of Chess (which were adopted at the 93rd FIDE Congress at Chennai, India) coming into force on 1 January 2023. Preface. The Laws of Chess cannot cover all possible situations that may arise during a game, nor can they regulate all administrative questions. Where cases are not precisely regulated by an Article of the Laws, it should be possible to reach a correct decision by studying analogous situations which are regulated in the Laws. The Laws assume that arbiters have the necessary competence, sound judgement and absolute objectivity. Too detailed a rule might deprive the arbiter of his/her freedom of judgement and thus prevent him/her from finding a solution to a problem dictated by fairness, logic and special factors. FIDE appeals to all chess players and federations to accept this view. A necessary condition for a game to be rated by FIDE is that it shall be played according to the FIDE Laws of Chess. It is recommended that competitive games not rated by FIDE be played according to the FIDE Laws of Chess. Member federations may ask FIDE to give a ruling on matters relating to the Laws of Chess. BASIC RULES OF PLAY. Article 1: The Nature and Objectives of the Game of Chess 1.1 1.2 1.3 1.4 The game of chess is played between two opponents who move their pieces on a square board called a ‘chessboard’. The player with the light-coloured pieces (White) makes the first move, then the players move alternately, with the player with the dark-coloured pieces (Black) making the next move. A player is said to ‘have the move’ when his/her opponent’s move has been ‘made’. The objective of each player is to place the opponent’s king ‘under attack’ in such a way that the opponent has no legal move. 1.4.1 The player who achieves this goal is said to have ‘checkmated’ the opponent’s king and to have won the game. Leaving one’s own king under attack, exposing one’s own king to attack and also ’capturing’ the opponent’s king is not allowed. 1.4.2 The opponent whose king has been checkmated has lost the game. 1.5 If the position is such that neither player can possibly checkmate the opponent’s king, the game is drawn (see Article 5.2.2). Article 2: The Initial Position of the Pieces on the Chessboard 2.1 2.2 The chessboard is composed of an 8 x 8 grid of 64 equal squares alternately light (the ‘white’ squares) and dark (the ‘black’ squares). The chessboard is placed between the players in such a way that the near corner square to the right of the player is white. At the beginning of the game White has 16 light-coloured pieces (the ‘white’ pieces); Black has 16 dark-coloured pieces (the ‘black’ pieces). These pieces are as follows: A white king usually indicated by the symbol K A white queen Two white rooks Two white bishops Two white knights Eight white pawns A black king A black queen Two black rooks Two black bishops Two black knights Eight black pawns usually indicated by the symbol Q usually indicated by the symbol R usually indicated by the symbol B usually indicated by the symbol N usually indicated by the symbol usually indicated by the symbol K usually indicated by the symbol Q usually indicated by the symbol R usually indicated by the symbol B usually indicated by the symbol N usually indicated by the symbol Staunton Pieces p Q K B N R 9 2.3 The initial position of the pieces on the chessboard is as follows: 2.4 The eight vertical columns of squares are called ‘files’. The eight horizontal rows of squares are called ‘ranks’. A straight line of squares of the same colour, running from one edge of the board to an adjacent edge, is called a ‘diagonal’. Article 3: The Moves of the Pieces 3.1 It is not permitted to move a piece to a square occupied by a piece of the same colour. 3.1.1 If a piece moves to a square occupied by an opponent’s piece the latter is captured and removed from the chessboard as part of the same move. 3.1.2 A piece is said to attack an opponent’s piece if the piece could make a capture on that square according to Articles 3.2 to 3.8. 3.1.3 A piece is considered to attack a square even if this piece is constrained from moving to that square because it would then leave or place the king of its own colour under attack. 3.2 The bishop may move to any square along a diagonal on which it stands. 3.3 The rook may move to any square along the file or the rank on which it stands. 3.4 The queen may move to any square along the file, the rank or a diagonal on which it stands. 3.5 3.6 3.7 When making these moves, the bishop, rook or queen may not move over any intervening pieces. The knight may move to one of the squares nearest to that on which it stands but not on the same rank, file or diagonal. 3.7 When making these moves, the bishop, rook or queen may not move over any intervening pieces. The knight may move to one of the squares nearest to that on which it stands but not on the same rank, file or diagonal. The pawn: 3.7.1 The pawn may move forward to the square immediately in front of it on the same file, provided that this square is unoccupied, or 3.7.2 on its first move the pawn may move as in 3.7.1 or alternatively it may advance two squares along the same file, provided that both squares are unoccupied, or 3.7.3 the pawn may move to a square occupied by an opponent’s piece diagonally in front of it on an adjacent file, capturing that piece. 3.7.3.1 A pawn occupying a square on the same rank as and on an adjacent file to an opponent’s pawn which has just advanced two squares in one move from its original square may capture this opponent’s pawn as though the latter had been moved only one square. 3.7.3.2 This capture is only legal on the move following this advance and is called an ‘en passant’ capture. 3.7.3.3 When a player, having the move, plays a pawn to the rank furthest from its starting position, he/she must exchange that pawn as part of the same move for a new queen, rook, bishop or knight of the same colour on the intended square of arrival. This is called the square of ‘promotion’. 3.7.3.4 The player's choice is not restricted to pieces that have been captured previously. 3.7.3.5 This exchange of a pawn for another piece is called promotion, and the effect of the new piece is immediate. 3.8 There are two different ways of moving the king: 3.8.1 by moving to an adjoining square. 3.8.2 by ‘castling’. This is a move of the king and either rook of the same colour along the player’s first rank, counting as a single move of the king and executed as follows: the king is transferred from its original square two squares towards the rook on its original square, then that rook is transferred to the square the king has just crossed. 3.8.2.1 The right to castle has been lost: 3.8.2.1.1 If the king has already moved, or 3.8.2.1.2 With a rook that has already moved. 3.8.2.2 Castling is prevented temporarily: 3.8.2.2.1 if the square on which the king stands, or the square which it must cross, or the square which it is to occupy, is attacked by one or more of the opponent's pieces, or 3.8.2.2.2 if there is any piece between the king and the rook with which castling is to be effected. 3.9 The king in check: 3.9.1 The king is said to be 'in check' if it is attacked by one or more of the opponent's pieces, even if such pieces are constrained from moving to the square occupied by the king because they would then leave or place their own king in check. 3.9.2 No piece can be moved that will either expose the king of the same colour to check or leave that king in check. 3.10 Legal and illegal moves; illegal positions: 3.10.1 A move is legal when all the relevant requirements of Articles 3.1 – 3.9 have been fulfilled. 3.10.2 A move is illegal when it fails to meet the relevant requirements of Articles 3.1 –3.9. 3.10.3 A position is illegal when it cannot have been reached by any series of legal moves. Article 4: The Act of Moving the Pieces 4.1 4.2 Each move must be played with one hand only. Adjusting the pieces or other physical contact with a piece: 4.2.1 Only the player having the move may adjust one or more pieces on their squares, provided that he/she first expresses his/her intention (for example by saying “j’adoube” or “I adjust”). 4.2.2 Any other physical contact with a piece, except for clearly accidental contact, shall be considered to be intent. 4.3 Except as provided in Article 4.2.1, if the player having the move touches on the chessboard, with the intention of moving or capturing: 4.3.1 one or more of his/her own pieces, he/she must move the first piece touched that can be moved. 4.3.2 one or more of his/her opponent’s pieces, he/she must capture the first piece touched that can be captured. 4.3.3 one or more pieces of each colour, he/she must capture the first touched opponent’s piece with his/her first touched piece or, if this is illegal, move or capture the first piece touched that can be moved or captured. If it is unclear whether the player’s own piece or his/her opponent’s was touched first, the player’s own piece shall be considered to have been touched before his/her opponent’s. 4.4 If a player having the move: 4.4.1 touches his/her king and a rook he/she must castle on that side if it is legal to do so 4.4.2 deliberately touches a rook and then his/her king he/she is not allowed to castle on that side on that move and the situation shall be governed by Article 4.3.1. 4.4.3 intending to castle, touches the king and then a rook, but castling with this rook is illegal, the player must make another legal move with his/her king (which may include castling with the other rook). If the king has no legal move, the player is free to make any legal move. 4.4.4 promotes a pawn, the choice of the piece is finalised when the piece has touched the square of promotion. 4.5 4.6 If none of the pieces touched in accordance with Article 4.3 or Article 4.4 can be moved or captured, the player may make any legal move. The act of promotion may be performed in various ways: 4.6.1 the pawn does not have to be placed on the square of arrival. 4.6.2 removing the pawn and putting the new piece on the square of promotion may occur in any order. 4.6.3 If an opponent’s piece stands on the square of promotion, it must be captured. 4.7 When, as a legal move or part of a legal move, a piece has been released on a square, it cannot be moved to another square on this move. The move is considered to have been made in the case of: 4.7.1 A capture, when the captured piece has been removed from the chessboard and the player, having placed his/her own piece on its new square, has released this capturing piece from his/her hand. 4.7.2 Castling, when the player's hand has released the rook on the square previously crossed by the king. When the player has released the king from his/her hand, the move is not yet made, but the player no longer has the right to make any move other than castling on that side, if this is legal. If castling on this side is illegal, the player must make another legal move with his/her king (which may include castling with the other rook). If the king has no legal move, the player is free to make any legal move. 4.7.3 Promotion, when the player's hand has released the new piece on the square of promotion and the pawn has been removed from the board. 4.8 4.9 A player forfeits his/her right to claim against his/her opponent’s violation of Articles 4.1 – 4.7 once the player touches a piece with the intention of moving or capturing it. 4.8. A player forfeits his/her right to claim against his/her opponent’s violation of Articles 4.1 – 4.7 .4.9. If a player is unable to move the pieces, an assistant, who shall be acceptable to the arbiter, may be provided by the player to perform this operation. Article 5: The Completion of the Game 5.1.1 The game is won by the player who has checkmated his/her opponent’s king. This immediately ends the game, provided that the move producing the checkmate position was in accordance with Article 3 and Articles 4.2 – 4.7. 5.1.2 The game is lost by the player who declares he/she resigns (this immediately ends the game), unless the position is such that the opponent cannot checkmate the player’s king by any possible series of legal moves. In this case the result of the game is a draw. 5.2.1 The game is drawn when the player to move has no legal move and his/her king is not in check. The game is said to end in ‘stalemate’. This immediately ends the game, provided that the move producing the stalemate position was in accordance with Article 3 and Articles 4.2 – 4.7. 5.2.2 The game is drawn when a position has arisen in which neither player can checkmate the opponent’s king with any series of legal moves. The game is said to end in a ‘dead position’. This immediately ends the game, provided that the move producing the position was in accordance with Article 3 and Articles 4.2 – 4.7. 5.2.3 The game is drawn upon agreement between the two players during the game, provided both players have made at least one move. This immediately ends the game. COMPETITIVE RULES OF PLAY Article 6: The Chessclock 6.1 ‘Chessclock’ means a clock with two time displays, connected to each other in such a way that only one of them can run at a time. ‘Clock’ in the Laws of Chess means one of the two time displays. Each time display has a ‘flag’. ‘Flag-fall’ means the expiration of the allotted time for a player. 6.2 Handling the chessclock: 6.2.1 During the game each player, having made his/her move on the chessboard, shall pause his/her own clock and start his/her opponent’s clock (that is to say, he/she shall press his/her clock). This “completes” the move. A move is also completed if: 6.2.1.1 6.2.1.2 the move ends the game (see Articles 5.1.1, 5.2.1, 5.2.2, 9.2.1, 9.6.1 and 9.6.2), or the player has made his/her next move, when his/her previous move was not completed. 6.2.2 A player must be allowed to pause his/her clock after making his/her move, even after the opponent has made his/her next move. The time between making the move on the chessboard and pressing the clock is regarded as part of the time allotted to the player. 6.2.3 A player must press his/her clock with the same hand with which he/she made his/her move. It is forbidden for a player to keep his/her finger on the clock or to ‘hover’ over it. 6.2.4 The players must handle the chessclock properly. It is forbidden to press it forcibly, to pick it up, to press the clock before moving or to knock it over. Improper clock handling shall be penalised in accordance with Article 12.9. 6.2.5 6.2.6 Only the player whose clock is running is allowed to adjust the pieces. If a player is unable to use the clock, an assistant, who must be acceptable to the arbiter, may be provided by the player to perform this operation. His/Her clock shall be adjusted by the arbiter in an equitable way. This adjustment of the clock shall not apply to the clock of a player with a disability. 6.3 Allotted time: 6.3.1 When using a chessclock, each player must complete a minimum number of moves or all moves in an allotted period of time including any additional amount of time added with each move. All these must be specified in advance. 6.3.2 The time saved by a player during one period is added to his/her time available for the next period, where applicable. In the time-delay mode both players receive an allotted ‘main thinking time’. Each player also receives a ‘fixed extra time’ with every move. The countdown of the main thinking time only commences after the fixed extra time has expired. Provided the player presses his/her clock before the expiration of the fixed extra time, the main thinking time does not change, irrespective of the proportion of the fixed extra time used. 6.4 Immediately after a flag falls, the requirements of Article 6.3.1 must be checked. 6.5 Before the start of the game the arbiter shall decide where the chessclock is placed. 6.6 At the time determined for the start of the game White’s clock is started.6.7. Default time: 6.7.1 The regulations of an event shall specify a default time in advance. If the default time is not specified, then it is zero. Any player who arrives at the chessboard after the default time shall lose the game unless the arbiter decides otherwise. 6.7.2 If the regulations of an event specify that the default time is not zero and if neither player is present initially, White shall lose all the time that elapses until he/she arrives, unless the regulations of an event specify, or the arbiter decides otherwise. 6.8 A flag is considered to have fallen when the arbiter observes the fact or when either player has made a valid claim to that effect. 6.9 Except where one of Articles 5.1.1, 5.1.2, 5.2.1, 5.2.2, 5.2.3 applies, if a player does not complete the prescribed number of moves in the allotted time, the game is lost by that player. However, the game is drawn if the position is such that the opponent cannot checkmate the player’s king by any possible series of legal moves. 6.10 Chessclock setting: 6.10.1 Every indication given by the chessclock is considered to be conclusive in the absence of any evident defect. A chessclock with an evident defect shall be replaced by the arbiter, who shall use his/her best judgement when determining the times to be shown on the replacement chessclock. 6.10.2 If during a game it is found that the setting of either or both clocks is incorrect, either player or the arbiter shall pause the chessclock immediately. The arbiter shall install the correct setting and adjust the times and move-counter, if necessary he/she shall use his/her best judgement when determining the clock settings. 6.11.1 If the game needs to be interrupted, the arbiter shall pause the chessclock. 6.11.2 A player may pause the chessclock only in order to seek the arbiter’s assistance, for example when promotion has taken place and the piece required is not available. 6.11.3 The arbiter shall decide when the game restarts. 6.11.4 If a player pauses the chessclock in order to seek the arbiter’s assistance, the arbiter shall determine whether the player had any valid reason for doing so. If the player has no valid reason for pausing the chessclock, the player shall be penalised in accordance with Article 12.9. 6.12.1 Screens, monitors, or demonstration boards showing the current position on the chessboard, the moves and the number of moves made/completed, and clocks which also show the number of moves, are allowed in the playing hall. 6.12.2 The player may not make a claim relying only on information shown in this manner.

The expression 2 + 4 1 + 2 is equal to (A) 0 (B) 1 (C) 2 (D) 4 (E) 5 2. The ones (units) digit of 542 is 2. When 542 is multiplied by 3, the ones (units) digit of the result is (A) 9 (B) 3 (C) 5 (D) 4 (E) 6 3. Some of the 1 × 1 squares in a 3 × 3 grid are shaded, as shown. What is the perimeter of the shaded region? (A) 10 (B) 14 (C) 8 (D) 18 (E) 20 4. If 3x + 4 = x + 2, the value of x is (A) 0 (B) −4 (C) −3 (D) −1 (E) −2 5. Which of the following is equal to 110% of 500? (A) 610 (B) 510 (C) 650 (D) 505 (E) 550 6. Eugene swam on Sunday, Monday and Tuesday. On Monday, he swam for 30 minutes. On Tuesday, he swam for 45 minutes. His average swim time over the three days was 34 minutes. For how many minutes did he swim on Sunday? (A) 20 (B) 25 (C) 27 (D) 32 (E) 37.5 7. For which of the following values of x is x 3 < x2 ? (A) x = 5 3 (B) x = 3 4 (C) x = 1 (D) x = 3 2 (E) x = 2112 years, Janice will be 8 times as old as she was 2 years ago. How old is Janice now? (A) 4 (B) 8 (C) 10 (D) 2 (E) 6 10. In the diagram, pentagon T P SRQ is constructed from equilateral 4 P T Q and square P QRS. The measure of ∠ST R is equal to (A) 10◦ (B) 15◦ (C) 20◦ (D) 30◦ (E) 45◦ Q P R S T Part B: Each correct answer is worth 6. 11. In the diagram, which of the following points is at a different distance from P than the rest of the points? (A) A (B) B (C) C (D) D (E) E y A x 2 2 4 4 6 8 6 8 B C D E P 12. If x = 2 and y = x 2 − 5 and z = y 2 − 5, then z equals (A) −6 (B) −8 (C) 4 (D) 76 (E) −4 13. In the diagram, P QR is a straight line segment. If x + y = 76, what is the value of x? (A) 28 (B) 30 (C) 35 (D) 36 (E) 38 x° x° x° y° y° P Q R 14. The line with equation y = 2x − 6 is reflected in the y-axis. What is the x-intercept of the resulting line? (A) −12 (B) 6 (C) −6 (D) −3 (E) 0 15. Amy bought and then sold 15n avocados, for some positive integer n. She made a profit of $100. (Her profit is the difference between the total amount that she earned by selling the avocados and the total amount that she spent in buying the avocados.) She paid $2 for every 3 avocados. She sold every 5 avocados for $4. What is the value of n? (A) 100 (B) 20 (C) 50 (D) 30 (E) 8 16. If 3x = 5, the value of 3x+2 is (A) 10 (B) 25 (C) 2187 (D) 14 (E) 45

In this video we take a look at the 0:02 fetch to code 0:03 execute cycle including its effect on 0:06 the various registers we've previously 0:12 [Music] 0:14 discussed a computer is defined Definition 0:17 as an electronic device that takes an 0:20 input 0:22 processes data 0:25 and delivers output 0:29 in this simple example you can see we're 0:31 taking the input 5 0:35 we're multiplying it by 2 that's our 0:37 process 0:39 and we're outputting 10. 0:44 but this could be way more complex for 0:46 example of a game console 0:48 the input could be the buttons you press 0:50 on a controller 0:53 the processes would then be carried out 0:55 by the console itself 0:59 and the output would be some form of 1:01 update to a monitor 1:02 and sound out for a speaker possibly 1:04 vibration feedback through the 1:06 controller 1:10 to process data a computer follows a set 1:13 of instructions 1:14 known as a computer program 1:18 if we take the lid off a typical desktop 1:20 computer we can identify 1:22 two critical components the memory 1:26 that stores the program and the central 1:29 processing unit or processor 1:31 which is under this large fan and 1:33 carries out the instructions 1:37 a computer carries out its function by 1:40 fetching 1:41 instructions decoding them and then 1:43 executing them 1:44 in a continuous repetitive cycle 1:46 billions of times a second 1:48 let's look at each of these stages in a 1:50 little more detail Fetch 1:53 so let's start with the fetch stage the 1:55 very first thing that happens 1:57 is the program counter is checked as it 2:00 holds the address 2:01 of the next instruction to be executed 2:07 the address stored is then copied into 2:09 the memory address register 2:14 the address is then sent along the 2:16 address bus to main memory 2:18 where it waits to receive a signal from 2:21 the control 2:22 bus so it knows what to do 2:27 as we want to read the data that's 2:29 stored in memory address 2:30 0 0 0 0 the control unit sends 2:34 a read signal along the control bus to 2:36 main memory 2:41 now main memory knows the data needs to 2:44 be read 2:45 the content stored in memory address 000 2:49 can be sent along the data bus to the 2:51 memory data register 2:56 now as we're currently in the process of 2:58 fetching an instruction 3:00 the data received by the memory data 3:03 register gets copied 3:04 into the current instruction register 3:11 the instruction effectively has now been 3:14 fetched from memory 3:16 just before we proceed to the decode 3:18 phase we now 3:19 increment the program counter so that 3:22 the address it contains 3:24 points to the address of the next 3:26 instruction which will need to be 3:30 executed 3:32 the instruction now being held in the 3:33 current instruction register 3:35 is ready to be decoded 3:39 now as we mentioned in the previous 3:41 video the instruction is made up of two 3:43 parts 3:44 we have the op code that's what it is we 3:47 need to do 3:50 and we have the operand what are we 3:53 going to do it to 3:55 now the operand could contain the actual 3:57 data 3:58 or indeed it could contain an address of 4:01 where the data is to be found 4:06 by decoding this instruction we can see 4:08 the operation we need 4:10 is a load operation so we need to load 4:14 the contents of memory location0101 4:18 into the cpus accumulator 4:25 in the exam a simple model will be used 4:27 to describe the 4:29 structure of any given instruction 4:32 you're not going to be expected to 4:34 define how an opcode is made up 4:36 but simply to interpret opcodes in the 4:39 given context of an exam 4:40 question in the example here 4:44 you can see there's a total of 16 4:46 different opcodes available 4:48 and this is because we're using four 4:50 bits for our representation 4:56 so now we've fetched the instruction and 4:59 we've decoded it so we know what we need 5:00 to do 5:01 we're finally ready to execute it 5:05 so we now send address 0101 5:08 to the memory dress register 5:13 now we're in the memory address register 5:15 we can finally send the address 5:18 down the address bus to main memory 5:24 this time we want to read the data 5:26 that's stored in memory 5:28 and so the control unit again sends a 5:30 read signal along the control bus 5:36 so main memories now receive an address 5:38 and a read signal 5:40 so the content stored at memory location 5:43 0101 5:44 can now be sent along the data bus back 5:46 to the cpu 5:47 and into the memory data register 5:54 finally the contents of the memory data 5:56 register are copied to the accumulator 5:59 and this is one of a number of general 6:00 purpose registers found in the cpu 6:04 this first instruction is now complete Branching 6:11 so what does this program actually do 6:14 you should be able to work it through 6:16 carefully and figure it out 6:19 we're now pointing instructions zero 6:21 zero zero one in the program counter 6:23 and we're ready to fetch the second 6:25 instruction 6:27 at the end of this video we're gonna 6:29 provide you with the answer 6:34 so let's talk a second about programs 6:37 that branch 6:40 on the left here we have a very simple 6:42 piece of pseudo code 6:44 line zero says first execute this line 6:46 of code 6:47 line 1 now execute this line and then 6:50 line 2 says 6:52 if the age is greater than 18 then 6:56 we're going to execute lines 3 and 4 6:58 otherwise 6:59 we're going to execute lines six and 7:02 seven 7:03 so this program doesn't necessarily 7:05 follow strictly in sequence from line 7:07 zero through to seven there's a chance 7:10 here the program may branch and jump 7:14 around 7:16 so we're going to pretend that this 7:17 program has been loaded into memory 7:20 each line of code on the left here has 7:23 ended up 7:24 as a location in memory now this is not 7:27 strictly how this would happen in this 7:28 one-to-one way 7:29 but for the purpose of example it's 7:31 absolutely fine 7:35 so the program counter starts by 7:37 pointing to memory address zero 7:39 and we fetch the first instruction 7:41 decode it and execute it 7:44 it then updates and tells us the next 7:47 instruction 7:48 is zero zero zero one because remember 7:50 the program counter is being incremented 7:52 so we fetch it decode it and we execute 7:55 line one of our program 7:59 we then fetch line two which in binary 8:01 is one 8:02 zero 8:06 now at this point depending on what 8:10 happens during the execution 8:11 of line two the program may be required 8:15 to fetch line three from memory or 8:18 line five from memory 8:25 so let's look at how this actually works 8:27 because we've said the program counter 8:28 simply gets incremented 8:31 well in the current instruction register 8:33 we have an instruction with the op code 8:36 0 1 1 0. 8:41 now when we look this up in the decode 8:43 unit we discover that this 8:45 code means branch always 8:51 this replaces the value held in the 8:54 program counter 8:56 with the contents of the operand that's 8:58 the second part of the instruction 9:01 from the current instruction register so 9:03 this case 9:04 one zero zero one 9:09 now when the next fetch cycle begins the 9:12 program counter is obviously checked 9:14 and as its contents have been previously 9:16 updated to a new memory location 9:19 and not simply incremented the program 9:22 effectively is able to jump 9:24 around memory 9:28 so having watched this video you should 9:30 be able to answer the following key 9:32 question 9:33 how does a cpu work 9:39 okay so let's um answer the question we 9:41 posed 9:42 earlier what did that program actually 9:48 do 9:50 so this is the first fetch to code 9:53 execute cycle 9:55 and this is the one that we ran through 9:57 in detail earlier 9:58 it effectively loaded the contents of 10:01 the memory 10:02 stored at location location0101 10:05 into the accumulator in other words 10:08 the dna number 3 is moved 10:11 from memory into the cpu 10:18 we then proceed onto the second fetch 10:20 decode execute cycle 10:23 now this one adds the contents of memory 10:27 located at 0 1 1 0 10:30 to the current contents of the 10:32 accumulator 10:34 so in other words the dna number one 10:38 because that's what's stored at address 10:40 zero one one zero 10:43 is added to the number three that was in 10:45 the accumulator 10:46 the results are stored back over the 10:48 accumulator 10:49 so effectively we've done three plus one 10:53 equals four 10:58 the third fetch to code execute cycle 11:00 stores the contents which are in the 11:02 accumulator 11:03 into memory location zero one one one 11:07 and that's because the op code the first 11:09 part of this current instruction 11:10 zero zero one one is the command to 11:13 store when we look it up in the decoder 11:15 unit 11:16 so in other words the result of the 11:17 previous calculation three plus one 11:19 equals four 11:20 is now written back into main memory 11:28 the fourth fetch decode execute cycle 11:30 outputs the contents of the accumulator 11:33 remember they were copied into main 11:34 memory but they're still held in the 11:35 accumulator 11:37 so in this simple abstraction the number 11:40 four is now 11:41 output to the user so they can see the 11:43 result of the calculation 11:49 the fifth and final fetch code execute 11:51 cycle 11:52 brings a halt to the current program 11:58 so this very simple program which has 12:01 five 12:02 fetch decode execute cycles has 12:04 performed the calculation 12:06 three plus one is then stored the result 12:09 in main memory 12:10 and displayed the result four to the 12:12 user 12:13 and in a high-level language this may 12:15 look something very similar to the 12:17 following two lines of code 12:20 sum variable equals num1 plus num2 12:24 print sum to the user 12:27 so you can start to get an appreciation 12:29 here of how the high level code you 12:32 write actually ends up being fetched 12:34 decoded 12:35 and executed inside a processor 12:38 of course your processor is doing 12:40 billions and billions of these 12:42 operations a second 12:43 which when you think about it is really 12:45 very impressive 12:52 [Music] 13:03 you. make 10 questions for a standerd of a level

0:01 i pasticciotti presentano Federico II di 0:05 Sveia 0:07 Nel 0:09 1186 Costanza D'Alta Villa figlia del re 0:12 normno di Sicilia Ruggero II sposò ormai 0:16 trentenne Enrico VI di Svevia figlio 0:20 dell'imperatore Federico Barbarossa che 0:23 si servì di questo matrimonio per 0:26 stringere un'alleanza politica con la 0:28 monarchia siciliana 0:31 Purtroppo non fu un'unione felice sia 0:34 perché il marito aveva 10 anni in meno 0:37 della moglie sia perché lui non aveva un 0:40 bel carattere e pare che rinfacciasse 0:44 continuamente a costanza la sua età 0:47 avanzata temendo che ciò fosse causa di 0:50 sterilità 0:52 Alla morte di Federico Barbarossa nel 0:56 1190 Enrico VI ereditò dal padre il 1:00 titolo di imperatore del Sacro Romano 1:02 Impero ma era incapace di esercitare un 1:06 buon governo nei confronti dei sudditi 1:09 normanni che vivevano nel regno di 1:11 Sicilia portatogli in dote dalla moglie 1:14 Costanza 1:16 Così nel 1:18 1994 Enrico partì per una spedizione in 1:22 Sicilia senza la moglie al seguito e 1:25 fece in modo di essere incoronato re di 1:28 Sicilia il giorno di Natale nella 1:31 cattedrale di 1:33 Palermo Lo stesso giorno Costanza che 1:36 era in avanzato stato di gravidanza e 1:39 stava viaggiando in direzione di Palermo 1:42 per raggiungere il marito si rese conto 1:44 di essere prossima al 1:47 parto Se oggi nessuno più si meraviglia 1:50 della gravidanza di una quarantenne nel 1:52 Medioevo una gestazione a quell'età 1:55 sembrava una cosa praticamente 1:57 impossibile Pertanto si erano alimentate 2:01 voci malevoli sulla vera condizione di 2:04 costanza e neppure il marito pareva 2:07 realmente convinto della gravidanza 2:09 della moglie E dato che Costanza prima 2:12 di sposarsi era stata per un periodo in 2:16 monastero circolava addirittura la voce 2:19 che nel suo grembo ci fosse 2:21 l'anticristo che secondo una leggenda 2:24 medievale sarebbe nato dall'unione di 2:26 una vecchia monaca con un 2:29 frate Così Costanza decise di fermarsi 2:33 nella cittadina di Iesi e per fugare 2:36 ogni dubbio sulla sua gravidanza fece 2:39 allestire una tenda nella piazza 2:42 centrale della cittadina 2:44 marchigiana in modo da partorire al 2:47 cospetto di tutte le donne sposate del 2:50 paese Alcuni riferirono che il giorno 2:53 successivo al parto la regina lattò 2:56 pubblicamente il piccolo che poi fu 2:59 battezzato nella cattedrale di San 3:01 Ruffino di Assisi con il nome di 3:04 Federico 3:06 Ruggero Federico per indicare la 3:09 discendenza sveva quale nipote di 3:12 Federico 3:13 Barbarossa e Ruggero per sottolineare la 3:17 discendenza normanna dal primo re di 3:20 Sicilia Ruggero 3:23 d'Altavilla A soli 3 anni il piccolo 3:26 Federico rimase orfano e fu posto sotto 3:30 la tutela di Papa Innocenzo II da cui si 3:33 affrancò a 14 anni quando divenne prima 3:37 re di Sicilia e poi re di 3:41 Germania acquisendo il nome di Federico 3:44 II congiuntamente al titolo di 3:47 imperatore nel 1220 3:50 Ma Federico era più interessato 3:53 all'Italia che alla 3:54 Germania Così stabilì la sua corte in 3:57 Sicilia a 4:00 Palermo Federico II organizzò un regno 4:04 forte e 4:05 accentrato costruendo in tutta l'Italia 4:08 meridionale vari castelli dove collocò 4:11 le sue truppe che dovevano controllare 4:14 il territorio e sedare eventuali rivolte 4:18 Vanno menzionati in particolare il 4:21 castello di Melfi in Basilicata dove 4:25 furono promulgate le famose costituzioni 4:29 melfitane una raccolta di leggi scritte 4:32 rivolte a tutti gli abitanti del regno 4:35 con cui si limitavano i poteri dei 4:38 baroni locali e si vietava il ricorso 4:41 alla vendetta personale per affidarsi 4:44 invece alla giustizia stabilita dalle 4:47 leggi 4:48 C'era poi il castello di Trani che aveva 4:51 la funzione di sorvegliare l'ingresso 4:54 alla città e al porto E infine il 4:58 celeberrimo castel del Monte 5:01 caratterizzato da un'originale pianta 5:03 ottagonale attorniata da torri anch'esse 5:07 ottagonali che fungeva da dimora come 5:10 testimoniato dalla presenza di grandi 5:13 camini Uomo colto fine giurista 5:17 Amante dell'arte della letteratura 5:20 Federico II ospitò alla sua corte 5:22 studiosi e artisti provenienti da tutta 5:25 Europa Dialogò con intellettuali arabi e 5:29 fondò l'Università di Napoli che ancora 5:32 oggi porta il suo 5:35 nome Con l'editto di Salerno regolamentò 5:38 per la prima volta la professione del 5:41 farmacista separandola di fatto da 5:44 quella del medico scrisse anche un libro 5:48 un manuale sulla falconeria e sull'arte 5:52 venatoria chiamato de Arte venandi cum 5:57 avibus ossia l'arte di cacciare con gli 6:01 uccelli che fu uno dei primi manoscritti 6:04 con disegni a tema 6:08 naturalistico In una nota alla sua morte 6:11 il monaco Matteo Paris lo chiamerà 6:14 stupor Mundi cioè stupore del mondo Un 6:19 appellativo che racchiude l'essenza 6:21 della sua inestinguibile curiosità 6:25 intellettuale che lo portò ad 6:27 approfondire la filosofia l'astrologia 6:30 la matematica l'algebra la medicina e le 6:34 scienze naturali ha al punto da 6:37 impiantare a Palermo persino uno zoo 6:40 famoso ai suoi tempi per il gran numero 6:43 di animali esotici che conteneva anche 6:46 un 6:47 elefante I rapporti col papo però non 6:51 furono idiaci 6:53 Sia Papa Onorio II che Gregorio Io detto 6:57 anche il Papa Guerriero lo costrinsero a 7:00 intraprendere una nuova crociata in 7:02 Terra Santa minacciando di scomunicarlo 7:06 qualora non l'avesse 7:08 fatto Così dopo tanta insistenza da 7:11 parte del papato Federico si mise in 7:13 viaggio per la Terra Santa 7:16 Giunto in Oriente però non mosse guerra 7:19 ai musulmani ma preferì stringere 7:22 accordi con il sultano d'Egitto 7:25 ottenendo il controllo della città di 7:27 Gerusalemme e una tregua di 10 anni 7:32 Si trattava di conquiste importanti dal 7:34 punto di vista diplomatico ma al suo 7:37 ritorno Federico II fu accusato 7:40 duramente di essere sceso a patti con 7:42 gli 7:43 infedeli Nel suo programma di governo 7:47 Federico II era intenzionato a 7:49 riaffermare la sua autorità sui comuni 7:52 del Nord Italia fatto che preoccupava il 7:56 Papa il quale temeva il rafforzamento 7:59 del potere imperiale anche a nord dello 8:02 Stato Pontificio già confinante a sud 8:05 con il Regno di Sicilia 8:08 In pratica il Papa si sentiva 8:11 schiacciato sia a nord che a sud 8:14 dall'imperatore Così Papa Gregorio Io 8:18 appoggiò alcuni comuni che si riunirono 8:20 nella Lega Lombarda e che furono detti 8:24 guelfi A questi si contrapposero i 8:27 comuni ghibellini che decisero di 8:30 schierarsi a sostegno 8:33 dell'imperatore Iniziò così una 8:35 lunghissima contesa che avrebbe 8:38 dilaniato le città 8:41 italiane Tutto 8:43 chiaro ciao e al prossimo 8:49 video Se questo video ti è piaciuto ti 8:52 chiedo di fare mi piace cliccando 8:53 sull'icona qui sotto Per me è molto 8:55 importante quindi grazie in anticipo se 8:57 lo farai Per essere informato ogni volta 8:59 che pubblico un nuovo video ricorda di 9:01 cliccare anche sul grande pulsante rosso 9:02 Iscriviti e sulla campanella di fianco 9:05 [Musica]

Quale dei seguenti numeri è un numero intero relativo? a) -3/4 b) 5.25 c) -8 d) √9 Risolvi: -6 + (-3). a) 9 b) -9 c) 3 d) -3 Calcola: -2 * 7. a) -14 b) 14 c) -5 d) 5 Quale di queste espressioni è equivalente a -(-5)? a) 5 b) -5 c) 10 d) -10 Quanto vale 3^(-2)? a) 1/9 b) 9 c) -9 d) 1/3 Qual è il risultato di (-4)^3? a) -64 b) 64 c) -12 d) 12 Sottrai -8 da -3. a) 5 b) -5 c) -11 d) 11 Calcola: 2^(-3). a) 1/8 b) 8 c) -8 d) -1/8 Quale dei seguenti numeri è un intero relativo maggiore di -5? a) -6 b) -4 c) 0 d) -1 Quale delle seguenti affermazioni è falsa? a) Ogni numero naturale è anche un numero intero relativo. b) Un numero negativo è sempre minore di zero. c) L'opposto di un numero positivo è negativo. d) La somma di due numeri negativi è sempre negativa.

1. The following are ingredients in preparing pumping solution, EXCEPT; a. 5 kgs ham leg c. 1 cup saturated salt solution b. one tablespoon sugar d. 2 drops maplein 2. What is the value in grams of 6.4% refined salt if the amount of pork meat is 1 kilogram? a. 64 grams c. 640 grams b. 6.4 kilograms d. 6,400 grams 3. What is the main purpose of curing meat? a. To tenderize it c. To add color to it b. To prevent spoilage d. To increase its weight 4. What is the advantage of using pumping pickle over cover pickle and dry cure mixtures? a. It reduces the curing time. b. It enhances the flavor. c. It controls the concentration of salt. d. All of the above 5. What is the function of phosphate in curing solutions? a. It increases the water-holding capacity of the meat. b. It inhibits the growth of bacteria. c. It prevents oxidation of fat. d. It improves the texture of the meat. 6. What is the function of carrageenan in curing solutions? a. It acts as a thickener. b. It acts as a binder. c. It acts as a stabilizer. d. All of the above 7. In coloring salted eggs, how many teaspoons of vinegar must be added? a. 1 teaspoon b. 2 teaspoons c. 3 teaspoons d. 4 teaspoons 8. The following are factors that must be considered in packaging eggs. a. quality maintenance b. packaging design c. type of transport d. cost 9. In type 3 packaging material for eggs, what type of materials can these be made? a. burlap b. plastic c. paper board d. polystyrene 10. How many hours must be needed to bake the ham in an oven? a. 5 hours b. 3 hours c. 4 hours d. 2 hours 11. What is the ideal temperature of a smoke fish when storing it at home inside a refrigerator? a. 30℃ b. 38 ℃ c. 100 ℃ d. 50 ℃ 12. The following are ingredients for curing meat EXCEPT a. salt b. sugar c. vinegar d. cooking oil 13. What is the maximum period for commercial salted duck eggs? a. 18 days b. 21 days c. 14 days d. 30 days 14. What type of curing method is needed when fatty fish such as herring is being used? a. pickle curing b. dry curing c. cover pickle curing d. Pumping pickle curing 15. In making a pork ham, how many quarts of water must be needed to bring it to a boil? a. 2 quarts b. 3 quarts c. 4 quarts d. 5 quarts 16. In making a homemade skinless pork longganisa, what is the percentage of pork fats and lean meat? a. 20% fats, 80% lean meat b. 30% fats, 70% lean meat c. 40% fats, 60 lean meat d. 50% fats, 50% lean meat 17. It is a systematic procedure of producing a record for reference A. output C. documentation B. production report D. input 18. Anything produced, especially through a process, a product, a yield. A. documentation C. output B. input D. production report 19. It is the process of capturing data or translating information to a recording format. A. documentation C. production report B. reporting D. output 20. What is the value in grams of 6.4% refined salt if the amount of pork meat is 1 kilogram? a. 64 grams c. 640 grams b. 6.4 kilograms d. 6,400 grams 21. What is the difference between pumping pickle and cover pickle? a. Pumping pickle is injected into the meat, while cover pickle is poured over it. b. Pumping pickle is made with vinegar, while cover pickle is made with water. c. Pumping pickle is used for whole cuts of meat, while cover pickle is used for sliced meat. d. Pumping pickle is a dry mixture, while cover pickle is a liquid solution. 22. What is the main ingredient of dry cure mixtures? a. Sugar b. Salt c. Spices d. Phosphate 23. What is the function of vitamin C powder in curing solutions? a. It acts as an antioxidant. b. It enhances the color of the meat. c. It accelerates the curing reaction. d. All of the above 24. What is the ideal temperature for storing cured meat? a. Below 0°C b. Between 0°C and 4°C c. Between 4°C and 10°C d. Above 10°C 25. The following are advantages of packaging shell eggs EXCEPT. a. It protects against micro-organisms such as bacteria b. It prevents the loss of moisture. c. It protects the eggs from possible crushing while being handled, stored, or transported. d. It prolong the shelf life of the eggs. 26. How many pieces of eggs can be filled in a type 2 packaging materials, filler tray? a. 36 b. 12 c. 30 d. 24 27. How many hours must be needed in smoking ham? a. 10 to 19 hours b. 5 to 9 hours c. 15 to 24 hours d. 20 to 29 hours 28. It is a food packaging method that removes all air from a food-filled, plastic film package before sealing it. a. smoking b. drying c. vacuum packing d. weighing 29. Which is NOT TRUE about packaging a smoked fish? a. Sort cooled smoked fish according to size b. Pack or transfer smoked fish in bulk packaging materials by arranging the fish head and tail in any position. c. When the packaging material is nearly full, weigh the whole pack to check the product weight attained. d. Close or seal the packs. 30. The following nutrients can be found in an egg, EXCEPT. a. vitamins b. minerals c. omega 3 d. amino acids

GRADE 4 Module 6 Lesson 3. Interpret Remainders This PowerPoint file contains instructional aids for teachers who have purchased Into Math. It is intended to be projected to students and used in conjunction with the Student Edition and manipulatives as needed. These slides can be used to move the conversation forward in the classroom, but they should not serve as a replacement for student-centered, collaborative conversations in which students have the space they need to find an entry point, construct meaning, and build understanding. About the Slide Presentation Presenter View: Use the Presenter view to see notes while presenting. Customization: Add or delete content or notes to get the best learning experience for your classroom. 1 Problem of the Day. Which equations can be used to solve the following problem? Rita makes 40 bracelets and gives an equal number to 8 friends, including Veronica. Veronica gives 2 of the bracelets that she received to her sister. How many bracelets does Veronica have left? A. 40 – 8 = 32 32 ÷ 2 = 16 B. 40 ÷ 8 = 5 5 + 2 = 7 C. 8 + 2 = 10 40 ÷ 10 = 4 D. 40 ÷ 8 = 5 5 – 2 = 3 2 I Can. I Can solve a division problem and interpret the remainder in the context of the problem. 3 Spark Your Learning. Aiden is building solar toy cars in his science club. The cars collect and use energy from the sun for power. Aiden buys 18 wheels. Each car needs 4 wheels. How many cars can Aiden build? Show your thinking. 4 Turn and Talk. What is the remainder in this problem? What does the remainder mean? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 5 Build Understanding • Task 1 ACTIVITY. There are 57 students going to the science museum. Each van can take 5 students. How many vans are needed to take all the students? Use a visual model to show how the students are divided into groups of 5. 6 Turn and Talk. How can you use the whole-number quotient and remainder to answer these questions? How many vans will be full? How many students will ride in the van that is not full? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 7 Step It Out • Task 2 ACTIVITY.. Amanda has 73 inches of wire for a science experiment. She needs to cut all the wire into 8 identical pieces. How many inches long will each piece be? 8 Turn and Talk. Why is this problem a good situation to write the remainder as a fraction? Professional Development note: Use the Professional Learning Cards to provide language routines that may help students access the meaning of the problem. 9 Check Understanding. 1. Maya needs 44 batteries for smoke alarms. The batteries come in packs of 6. How many packs does Maya need to buy? For 44 ÷ 6, the whole-number quotient is ____ and the remainder is ____. Maya needs to buy ____ packs. Circle how you interpreted the remainder to solve the problem. 10 I Can Scale. 4 I can explain how to solve a division problem and interpret the remainder in the context of the problem. 3 I can solve a division problem and interpret the remainder in the context of the problem. 2 I can solve a division problem and identify the whole-number quotient and the remainder. 1 I can solve a division problem with a remainder. 11 Exit Ticket. Mr. Jenkins’ class is giving speeches during a 46-minute class. Each student will be able to talk for 4 minutes. How many students can give speeches? Justify your answer.

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