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Question

You are given two circuits as shown in Fig. 14.46, which consistof NAND gates. Identify the logic operation carried out by the twocircuits.

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Solution

Given: A and B acts as the Two inputs of the circuit Y is the output.

a)

Let left side of the output is given as, Y 1 .



The output of the left of the NAND gate is given as,

Y 1 = AB ¯

This output is fed through the another NAND Gate.

The circuit output is given as,

Y= Y 1 Y 1 ¯

Substitute the value of Y 1 in above expression,

Y= ( AB ¯ )( AB ¯ ) ¯ = ( AB ¯ ) ¯ + ( AB ¯ ) ¯ =AB

Thus, the circuit acts as AND Gate.

b)

A ¯ is output of the upper left of the NAND gate and B ¯ is the output of the lower half of the NAND gate.



The output of the circuit is given as,

Y= A ¯ B ¯ = A ¯ ¯ + B ¯ ¯ =A+B

Thus, the circuit acts as OR gate.


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