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Logic Gates Questions and Answers

32.

Write the Boolean expression for an inverter logic gate with input C and output Y.

Answer: B

Correct answer: \( Y = \overline{C} \)

An inverter produces the complement of its input, which is written with an overbar.

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33.

A NAND gate output is LOW only if all the inputs are HIGH.

Answer: A

Correct answer: True

NAND is the complement of AND, and AND is 1 only when every input is 1. So the NAND output is LOW in exactly that one case.

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34.

If A is LOW or B is LOW or BOTH are LOW, then X is LOW. If A is HIGH and B is HIGH, then X is HIGH. These rules specify the operation of a(n) ________.

Answer: A

Correct answer: AND gate

The rules describe an output that is HIGH only when both inputs are HIGH and LOW in every other case, which is the AND function. An OR gate would be HIGH whenever either input was HIGH.

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36.

How many input combinations would a truth table have for a six-input AND gate?

Answer: C

Correct answer: 64

A truth table has \( 2^n \) rows for n inputs, so six inputs give \( 2^6 = 64 \).

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37.

A 2-input NOR gate is equivalent to a ________.

Answer: B

Correct answer: negative-AND gate

By De Morgan's law \( (A+B)' = A'B' \), so a NOR gate gives 1 exactly when both inputs are 0 - that is, it is an AND gate for active-low inputs. Redrawing it with bubbles on the inputs and none on the output makes the equivalence visible.

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38.

If a 3-input NOR gate has eight input possibilities, how many of those possibilities will result in a HIGH output?

Answer: A

Correct answer: 1

A NOR output is HIGH only when every input is LOW, and of the eight combinations of three inputs exactly one has all three at 0.

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39.

The basic logic gate whose output is the complement of the input is the:

Answer: C

Correct answer: inverter

The inverter, or NOT gate, outputs the complement of its single input. AND and OR combine several inputs, and a comparator compares two values.

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Answer: C

Correct answer: Both (a) & (b)

A demultiplexer routes one input to a selected output, and if the select lines are stepped through in turn while bits arrive one after another, the same circuit distributes a serial stream across parallel outputs. Selecting one of many inputs is the multiplexer, which is the reverse operation.

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