Modern Physics 6 Question 10
10. The output of the given logic circuit is
(Main 2019, 12 Jan I)
(a)
(b)
(c)
(d)
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Solution:
- Truth table for given circuit is
0 | 0 | 1 | 1 | 1 | 0 |
1 | 0 | 1 | 1 | 0 | 1 |
0 | 1 | 1 | 1 | 1 | 0 |
1 | 1 | 0 | 1 | 1 | 0 |
This is the same output produced by
So, given circuit is equivalent to Boolean expression
Alternate Method
Using the Boolean algebra, output of the given logic circuit can be given as
Here
Using de-Morgan’s principle,
Using Eqs. (i) and (ii), we get