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The given circuit represents the realization of a Boolean function using 8 to 1 multiplexer. The realization of the same Boolean function using 4 to 1 multiplexer will be
- a)
- b)
- c)
- d)All the above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The given circuit represents the realization of a Boolean function usi...
the output of the given multiplexer is
F = S̅2 S̅1 S̅0 I 0 + S̅2 S̅1 S0 I 1 + S̅2 S1 S̅0 I 2 + S̅2 S1 S0 I 3 + S2 S̅1 S̅0 I 4 + S2 S̅1 S0 I 5 + S2 S1 S̅0 I 6 + S2 S1 S0 I7
= A̅ B̅ C̅ I0 + A̅ B C̅ I2 + A B̅ C̅ I4 + ABC I7
= A̅ B̅ C̅ + A̅ B C̅ + A B̅ C̅ + A B C
Now, implement the above function by using 4 to 1 MUX by taking B and C as selection lines
Now, the circuit will be
Now, implement the above function by using 4 to 1 mux by taking AB as selection lines.
Now, the circuit will be
Now implement the above function by using 4 to 1 MUX by taking A and C as selection lines
I0 = 1, I1 = 0, I2 = B̅, I3 = B
Now, the circuit will be
F = S̅2 S̅1 S̅0 I 0 + S̅2 S̅1 S0 I 1 + S̅2 S1 S̅0 I 2 + S̅2 S1 S0 I 3 + S2 S̅1 S̅0 I 4 + S2 S̅1 S0 I 5 + S2 S1 S̅0 I 6 + S2 S1 S0 I7
= A̅ B̅ C̅ I0 + A̅ B C̅ I2 + A B̅ C̅ I4 + ABC I7
= A̅ B̅ C̅ + A̅ B C̅ + A B̅ C̅ + A B C
Now, implement the above function by using 4 to 1 MUX by taking B and C as selection lines
Now, the circuit will be
Now, implement the above function by using 4 to 1 mux by taking AB as selection lines.
Now, the circuit will be
Now implement the above function by using 4 to 1 MUX by taking A and C as selection lines
I0 = 1, I1 = 0, I2 = B̅, I3 = B
Now, the circuit will be
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The given circuit represents the realization of a Boolean function using 8 to 1 multiplexer. The realization of the same Boolean function using 4 to 1 multiplexer will bea)b)c)d)All the aboveCorrect answer is option 'A'. Can you explain this answer?
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The given circuit represents the realization of a Boolean function using 8 to 1 multiplexer. The realization of the same Boolean function using 4 to 1 multiplexer will bea)b)c)d)All the aboveCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The given circuit represents the realization of a Boolean function using 8 to 1 multiplexer. The realization of the same Boolean function using 4 to 1 multiplexer will bea)b)c)d)All the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The given circuit represents the realization of a Boolean function using 8 to 1 multiplexer. The realization of the same Boolean function using 4 to 1 multiplexer will bea)b)c)d)All the aboveCorrect answer is option 'A'. Can you explain this answer?.
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