For the following logic circuit, the truth table is:
For the following logic circuit, the truth table is:
\(\begin{matrix} A &B &Y \\ 0&0 &0 \\ 0&1 &1 \\ 1&0 &1 \\ 1&1 &1 \end{matrix}\)
\(\begin{matrix} A &B &Y \\ 0&0 &1 \\ 0&1 &0 \\ 1&0 &1 \\ 1&1 &0 \end{matrix}\)
\(\begin{matrix} A &B &Y \\ 0&0 &0 \\ 0&1 &0 \\ 1&0 &0 \\ 1&1 &1 \end{matrix}\)
\(\begin{matrix} A &B &Y \\ 0&0 &1 \\ 0&1 &1 \\ 1&0 &1 \\ 1&1 &0 \end{matrix}\)
The Correct Option is C
Solution and Explanation
The correct option is (C): \(\begin{matrix} A &B &Y \\ 0&0 &0 \\ 0&1 &0 \\ 1&0 &0 \\ 1&1 &1 \end{matrix}\)
Y=\(\bar{\bar{A}.\bar{B}}=\bar{\bar{A}}+\bar{\bar{B}}\)
=(A+B) OR Gate
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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.