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in Physics by (30.7k points)

Choose the correct logic circuit for the given truth table having inputs A and B.

Inputs Output
A B Y
0 0 0
0 1 0
1 0 1
1 1 1

(1) 

logic circuit  A

(2) 

logic circuit 2

(3) 

logic circuit 3

(4)

logic circuit 4

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1 Answer

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by (30.2k points)
edited by

Correct option is : (2)

logic circuit

Option (1)\((\overline{A + B}).A\)

\( = (\bar A+ \bar B).A \equiv0\)

Option (2) \( =(A+ B).A\)

\(A.A+ A.B = A\)

Option (3) = \((A+ B).\bar A\)

\(A. \bar A + \bar A.B = \bar AB\)

Option (4)

\((A+B).(B)\)

\(A.B+ B. B = B\)

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