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Boolean algebra and Logic Circuits Chapter 5

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Presentation on theme: "Boolean algebra and Logic Circuits Chapter 5"— Presentation transcript:

1 Boolean algebra and Logic Circuits Chapter 5
October 6 University Boolean algebra and Logic Circuits Chapter 5 Prof. Dr/ Moussa Ibrahim Moussa Dean of Faculty of Information Systems and Computer Science

2 BOOLEAN ALGEBRA Boolean algebra is used extensively in designing electronic circuitry of computers. - Logical Addition - Logical Multiplication - Complementation - Operator Precedence

3 - Logical Addition(logical OR(+) Operator)

4 - Logical Multiplication
(logical AND operator)

5 - Complementation logical NOT (-) operator

6 - Operator Precedence The precedence rules for Boolean operators are as follows: 1. The expression is scanned from left to right. 2. Expression enclosed within parentheses are evaluated first. 3. All complement (NOT) operations are performed next. 4. All ‘-‘(AND) operations are performed after that. 5. Finally, all ‘+’ (OR) operations are performed in the end.

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9 Logic Gates AND Gate OR Gate NOT Gate NAND Gate NOR Gate

10 AND Gate

11 OR Gate

12 NOT Gate

13 NAND Gate

14 NOR Gate

15 LOGIC CIRCUITS DESIGN OF COMBINATIONAL CIRCUIT Design of Half-Adder

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17 Design of Full-Adder

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19 THANKS


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