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The propagation delays of the XOR gate, AND gate and multiplexer (MUX) in the circuit shown in the figure are 4 ns, 2 ns and 1 ns, respectively.
If all the inputs P, Q, R, S and T are applied simultaneously and held constant, the maximum propagation delay of the circuit is
  • a)
    3 ns
  • b)
    5 ns
  • c)
    6 ns
  • d)
    7 ns
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The propagation delays of the XOR gate, AND gate and multiplexer (MUX...
Given
Delay of XOR gate = 4ns
Delay of AND gate = 2 ns
Delay of MUX = 1ns
Case 1 :
Assuming T = 0 then selection line of MUX S0 = 0 , so that MUX input ‘0’ get enable so path followed by signal in the given circuit is shown by dotted lines as,
So total propagation delay τ2 from input to output is,
τ2= = (Propagation delay of AND gate) + (Propagation delay of MUX-1) +
(Propagation delay of AND gate) + (Propagation delay of MUX-2)
τ2= 2ns +1ns + 2ns + 1ns = 6ns
Hence MUX input '1' get enable then propagation delay of given circuit τ2= 6ns
Hence maximum delay of circuit is MAX ( τ12) = MAX ( 3ns, 6ns)= 6 ns
Hence, the correct option is (C).
Free Test
Community Answer
The propagation delays of the XOR gate, AND gate and multiplexer (MUX...
Given
Delay of XOR gate = 4ns
Delay of AND gate = 2 ns
Delay of MUX = 1ns
Case 1 :
Assuming T = 0 then selection line of MUX S0 = 0 , so that MUX input ‘0’ get enable so path followed by signal in the given circuit is shown by dotted lines as,
So total propagation delay τ2 from input to output is,
τ2= = (Propagation delay of AND gate) + (Propagation delay of MUX-1) +
(Propagation delay of AND gate) + (Propagation delay of MUX-2)
τ2= 2ns +1ns + 2ns + 1ns = 6ns
Hence MUX input '1' get enable then propagation delay of given circuit τ2= 6ns
Hence maximum delay of circuit is MAX ( τ12) = MAX ( 3ns, 6ns)= 6 ns
Hence, the correct option is (C).
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The propagation delays of the XOR gate, AND gate and multiplexer (MUX) in the circuit shown in the figure are 4 ns, 2 ns and 1 ns, respectively.If all the inputs P, Q, R, S and T are applied simultaneously and held constant, the maximum propagation delay of the circuit isa)3 nsb)5 nsc)6 nsd)7 nsCorrect answer is option 'C'. Can you explain this answer?
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