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What will be the values of input A and B for the Boolean expression - Physics

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Question

What will be the values of input A and B for the Boolean expression `overline ((A +B) .(A*B)) =1?`

Solution

The truth table for the Boolean expression `overline ((A +B) .(A*B)) = is:`

A B (A+B) (A,B) (A+B).(A.B) `overline ((A +B) .(A*B)) =1?`
1 1 1 1 1 0
0 0 0 0 0 1
1 0 1 0 0 1
0 1 1 0 0 1

The output of this Boolean expression is 1 only when both the inputs A and B are 1.

The values of A should, therefore, be 1.

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2006-2007 (March) Delhi set 1
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