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Chapter 3 Digital circuits
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3.1 Logic signals - Gates Binary system : (binary bits or digits) - 0 & 1 - LOW & HIGH - Negated and Asserted.
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3.1 Logic signals - Gates Different devices used to represent binary bits 01 Pneumatic Logiclow presurehigh Relay Logicopenclosed Fiber Opticslight onoff Read Only CDno pitpit (See table 3.1 of book)
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3.2 How do we represent logic Y F1 Z F2 X Logic Circuit X Y Z F1 F2 1 0 0 0 0 1 2 0 0 1 1 1 3 0 1 0 0 1 4 0 1 1 0 1 5 1 0 0 0 1 6 1 0 1 0 1 7 1 1 0 1 0 8 1 1 1 1 0 N bits 2 n different values Example N=3 : 2 3 = 8 Black box view of logic circuit 3 inputs and 2 outputs Truth table Truth tables : it gives all combinaisons of input and corresponding Output values
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3.3 Basic building blocks AND, OR, NOT
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3.3 Basic building blocks … NAND, NOR NAND gate : combination of NOT and AND NOR gate : combination of NOT and OR Note that NAND produces the opposite results of AND NOR produces the opposite results of OR
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3.4 Example: a logical circuit 1 2 F X Y Z X’ Y’ X.Y X’.Y’.Z 1 + 2 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 2 F X Y Z X’ Y’ X.Y X’.Y’.Z 1 + 2 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1
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3.4 Example : …. Logic diagrams Truth table
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