The output of the following circuit is $1$ when the input ABC is

The given electrical network is equivalent to

Write the truth table for the circuit shown in figure. Name the gate that the circuit resembles.

An $\mathrm{X}-\mathrm{OR}$ gate has following truth table:

It is represented by following logic relation

$\mathrm{Y}=\overline{\mathrm{A}}.\mathrm{B}+\mathrm{A}.\overline{\mathrm{B}}$

Build this gate using AND, OR and NOT gates.

Draw the output signals $C_1$ and $C_2$ in the given combination of gates.

According to the laws of Boolean algebra, the expression $\left(\mathrm{A}+\mathrm{AB}\right)$ is equal to: