Question Details

For the given circuit, the input digital signals are applied at the terminals A, B and C. What would be the output at the terminal y ?

Options

A

B

C

D

Correct Answer :

A constant 5 V signal

Solution :

The correct answer is the waveform representing a constant voltage of 5 V.

Step-by-step Analysis:

1. Logic Circuit Equations:
From the given circuit diagram:
- The top gate is a two-input AND gate with inputs A and B. Its output is:
Y1=AB
- The bottom gate is a two-input NAND gate with inputs B and C. Its output is:
Y2=BC
- The final output gate is an OR gate that takes Y1 and Y2 as inputs. Thus, the output y is:
y=Y1+Y2=(AB)+BC

2. Analyzing Waveforms Interval-by-Interval:
We translate the voltage levels from the input graphs (where 0 V is logic 0 and 5 V is logic 1):

For interval t<t1:
A=0, B=0, C=1
y=(00)+01=0+1=1 (5 V)

For interval t1<t<t2:
A=1, B=0, C=1
y=(10)+01=0+1=1 (5 V)

For interval t2<t<t3:
A=0, B=1, C=0
y=(01)+10=0+1=1 (5 V)

For interval t3<t<t4:
A=1, B=1, C=0
y=(11)+10=1+1=1 (5 V)

For interval t4<t<t5:
A=0, B=0, C=1
y=(00)+01=0+1=1 (5 V)

For interval t5<t<t6:
A=1, B=0, C=1
y=(10)+01=0+1=1 (5 V)

For interval t>t6:
A=0, B=0, C=1
y=(00)+01=0+1=1 (5 V)

Conclusion:
Since the output is logic 1 (high level, 5 V) during all intervals, the output terminal y remains at a constant potential of 5 V.

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