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LOGIC IDENTITIES Boolean Algebra Algebra 1 2 3 4 5 A+1=1 6 A+0=A A+0=A 7 A+A=A A+A=2A 8 AA=A AA=A 2 9 10 11 12 A+AB=A 13 (A+B)(A+C)=A+BC 14 15 16 17 1 AB=BA AB=BA 2 A+B=B+A A+B=B+A 3 ABC=(AB)C=A(BC) ABC=(AB)C=A(BC) 4 A(B+C)=AB+AC A(B+C)=AB+AC 5 A+B+C=(A+B)+C=A+ (B+C) A+B+C=(A+B)+C=A+ (B+C)

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LOGIC IDENTITIES

LOGIC IDENTITIES

Boolean Algebra

Algebra

1

2

3

4

5A+1=1

6A+0=AA+0=A

7A+A=AA+A=2A

8AA=AAA=A2

9

10

11

12A+AB=A

13(A+B)(A+C)=A+BC

14

15

16

17

1AB=BAAB=BA

2A+B=B+AA+B=B+A

3ABC=(AB)C=A(BC)ABC=(AB)C=A(BC)

4A(B+C)=AB+ACA(B+C)=AB+AC

5A+B+C=(A+B)+C=A+(B+C)A+B+C=(A+B)+C=A+(B+C)

Tutorials

Use Boolean algebra to simplify the following expression as much as possible and draw the corresponding circuit.

Tutorials

Use Boolean algebra to simplify the following expression as much as possible and draw the corresponding circuit.

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