Boolean expression ~ (A * B) * (~A + B) * (~B + B) is equal to which of the following ?

बूलियन व्यंजक ~ (A * B) * (~A + B) * (~B + B) निम्न में से किसके बराबर है ?

1. A~A
2. B~B
3. C~A + ~B
4. DA * B

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: A. ~A

Explanation

(~B + B) = 1. ~(A·B) = ~A + ~B, so the expression is (~A + ~B)(~A + B) = ~A + (~B·B) = ~A + 0 = ~A.

(~B + B) = 1। ~(A·B) = ~A + ~B, अतः व्यंजक = (~A + ~B)(~A + B) = ~A + (~B·B) = ~A।