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$$B$$Y$
$0$$0$$0$
$0$$1$$1$
$1$$0$$1$
$1$$1$$0$

The resultant logic gate from the combination of the following gates is:

In the circuit below,$A$ and $B$ represent two inputs and $C$ represents the output.

Which of the following represents the $NAND$ gate?

The following figure $(i)$ shows a logic gate circuit with two inputs $A$ and $B$ and output $C$. The voltage waveforms of $A, B$,and $C$ are as shown in the figure $(ii)$ given below. The logic circuit gate is:

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