What is a digital signal? What mathematical method is used to express it?

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(N/A) digital signal is a signal that can take only two discrete values,typically represented as $0$ (low) and $1$ (high). These values correspond to specific voltage levels in electronic circuits.
The mathematical method used to express digital signals is known as $Boolean$ $Algebra$. It is a branch of algebra in which the values of the variables are the truth values $true$ and $false$,usually denoted by $1$ and $0$ respectively.

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The truth table given below corresponds to which logic gate?
$A$ $B$ $X$
$0$ $0$ $0$
$0$ $1$ $1$
$1$ $0$ $1$
$1$ $1$ $1$

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What is the output $Y$ in the following circuit, when all the three inputs $A, B, C$ are first '$0$' and then '$1$'?

In the given circuit,when $A=1, B=1$,the values of $X$ and $Y$ respectively are:

Draw the output signals $C_1$ and $C_2$ for the given combination of gates as shown in the figure.

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