Question:

In the following circuit what are $P$ and $Q$:

Updated On: Apr 18, 2024
  • P = 1, Q = 0
  • P = 0, Q = 1
  • P = 0, Q = 0
  • P = 1, Q = 1
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The Correct Option is B

Solution and Explanation

A $NAND$ gate gives an output $1$ if at least one of the inputs is zero.
Hence $Q$ is $1$ .
Therefore, the inputs for the upper $NAND$ gate are $1,1 $.
Hence $P =0$.
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Concepts Used:

Logic Gates

AND Gate

It is the gate, where a circuit performs an AND operation. It has n number of input where (n >= 2) and one output.

OR Gate

It is the gate, where a circuit performs an OR operation. It has n number of input where (n >= 2) and one output.

NOT Gate

An inverter is also called NOT Gate. It has one input and one output where the input is A and the output is Y.

NAND Gate

A NAND operation is also called a NOT-AND operation. It has n number of input where (n >= 2) and one output.

NOR Gate

A NOR operation is also called a NOT-OR operation. It has n number of input where (n >= 2) and one output.

XOR Gate

XOR or Ex-OR gate is a specific type of gate that can be used in the half adder, full adder, and subtractor. 

XNOR Gate

XNOR gate is a specific type of gate, which can be used in the half adder, full adder, and subtractor. The exclusive-NOR gate is flattened as an EX-NOR gate or sometimes as an X-NOR gate. It has n number of input (n >= 2) and one output.