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Q6 (a) State any one Distributive Law of Boolean Algebra and verify it using truth table. (2)

Ans. Distributive Law:

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

Verification

A B C BC A+BC (A+B) (A+C) (A+B)(A+C)
0 0 0 0 0 0 0 0
0 0 1 0 0 0 1 0
0 1 0 0 0 1 0 0
0 1 1 1 1 1 1 1

1 0 0 0 1 1 1 1
1 0 1 0 1 1 1 1
1 1 0 0 1 1 1 1
1 1 1 1 1 1 1 1

OR

A(B+C)=AB+AC

A B C B+C A(B+C) AB AC AB+AC
0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0
0 1 0 1 0 0 0 0
0 1 1 1 0 0 0 0
1 0 0 0 0 0 0 0
1 0 1 1 1 0 1 1
1 1 0 1 1 1 0 1
1 1 1 1 1 1 1 1

(b) Draw the Logic Circuit of the following Boolean Expression using NOR gate only. (2)