2
Question
Write the truth table for the circuits given in Fig. 14.48 consisting ofNOR gates only. Identify the logic operations (OR, AND, NOT) performedby the two circuits.
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Solution
a)
In the circuit, A is the inputs and Y is the output.
The output of the circuit is given as,
Y = A + A ¯ = A ¯
The truth table of the circuit is given as,
A Y= A ¯ 0 1 1 0
The truth table represents NOT gate.
Thus, the circuit behaves like a NOT gate.
b)
The output of two NOR gates are A ¯ and B ¯ respectively.
The output of the circuit is given as,
Y = A ¯ + B ¯ ¯ = A ¯ ¯ ⋅ B ¯ ¯ = A ⋅ B
The truth table of the circuit is given by,
A B Y=A.B 0 0 0 0 1 0 1 0 0 1 1 1
The truth table represents AND gate.
Thus, the circuit behaves like an AND gate.
a)
In the circuit, A is the inputs and Y is the output.
The output of the circuit is given as,
The truth table of the circuit is given as,
| A | Y= |
| 0 | 1 |
| 1 | 0 |
The truth table represents NOT gate.
Thus, the circuit behaves like a NOT gate.
b)
The output of two NOR gates are
The output of the circuit is given as,
The truth table of the circuit is given by,
| A | B | Y=A.B |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
The truth table represents AND gate.
Thus, the circuit behaves like an AND gate.
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