First slide

Boolean operation

Question

In the following, digital circuit, what will be the output at ‘Z’, when the input (A, B) are (1, 0), (0, 0), (1, 1), (0, 1):

Moderate

A

0, 0, 1, 0
B

0, 1, 0, 0
C

1, 1, 0, 1
D

1, 0, 1, 1

Solution

$C = \bar{A} . \bar{B}$
D = A + B
E = CD
$Z = \bar{C + E}$
Now we will check for each input
For A = 1, C = 1 Z = 0
B = 0 D = 1
E = 1
For A = 0 C = 1 Z = 0
B = 0 D = 0
E = 0

For A = 1 C = 0 Z = 1
B = 1 D = 1
E = 0
For A = 0 C = 1 Z = 0
B = 0 D = 0
E = 0

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