Modern Physics 6 Question 3

3. The truth table for the circuit given in the figure is

(Main 2019, 12 April I)

(a) |ABY 001 011 101 111|

(c) |ABY 001 011 100 110|

(b) |ABY 001 010 100 110|

(d) |ABY 000 010 101 111|

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Solution:

  1. Given circuit is

Let the intermediate state X of OR gate is shown in figure.

Clearly, Y=AX

Here, X=A+B

Y=A(A+B)=AA+AB

=A+AB=A(1+B)

(AA=A)

Y=A¯

(1+B=1)

So, truth table shown in option (c) is correct.

Alternate Solution We can solve it using truth table

A B X=A+B Y=AX
0 0 0 1
0 1 1 1
1 0 1 0
1 1 1 0


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