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BOOLEAN POSTULATES AND THEOREM

Total questions: 6

Worksheet time: 60secs

Name
Class
Date
1.

(X+Y)'=

a)

X'+Y'

b)

X'.Y'

2.

ABSORPTION LAW

a)

A+AB=AB

b)

A+AB=A+B

c)

A+AB=A

d)

A+AB=A'

3.

REDUNDANCY LAW

a)

A+A'B=A'

b)

A+A'B=A+B

c)

A+A'B=A'+B

d)

A'+A'B=A+B

4.

CONSENSUS THEOREM

a)

A.B+A'.C+BC=A.B+A'.C

b)

A.B+A'.C+BC=A.B+BC

c)

A.B+A'.C+BC=A'.C+BC

d)

A.B+A'.C+BC=AB+AC

5.

WRITE THE DUAL OF "AB+A'C+BC=AB+A'C

a)

(A+B)(A'+C)(B+C)=(A+B)(A+C)

b)

(A+B)(A'+C)(B+C)=(A+C)(A'+C)

c)

(A+B)(A'+C)(B+C)=(A+B)(A'+B')

d)

(A+B)(A'+C)(B+C)=(A+B)(A'+C)

6.

reduce the expression (X+Y)'+X'+XY

a)

4

b)

3

c)

7

d)

1