Modern Physics 6 Question 6

6. The logic gate equivalent to the given logic circuit is

(Main 2019, 9 April II)

(a) NOR

(b) NAND

(c) OR

(d) AND

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Solution:

  1. Truth table for given combination of logic gates is

A B Y1=A Y2=B Y=Y1Y2
0 0 1 1 0
1 0 0 1 1
0 1 1 0 1
1 1 0 0 1

Output Y resembles output of an OR gate. So, given combination acts like an OR gate.

Alternate Solution

The given logic gate circuit can be drawn as shown below

Here,

Y=Y1Y2=A¯B¯

Using de-Morgan’s theorem, i.e.

xy=x¯+y¯Y=A¯+B¯=A+B[x¯=x]

This represents the boolean expression for OR gate.



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