Question

Construct a truth table for the logical operator NAND

Short answer

For NAND logical operator, the output is true if one of the inputs.or both the inputs such as of p and q are false. Use this concept for the construction of truth table for NAND.

Step-by-step solution

Definition of Truth Table

A logic gate truth tabledepicts each feasible input sequence to the gate or circuit, as well as the resulting output based on the combination of these inputs.

Construction of a truth table for the logical operator

Take two variables as inputs such as p and q.

p NAND q is denoted by$\mathbf{p}|\mathbf{q}$.

Prepare the truth table for $\mathbf{p}|\mathbf{q}$.

\({\rm{p}}\)	\({\rm{q}}\)	\({\bf{p}}\left| {\bf{q}} \right.\)
\({\rm{T}}\)	\({\rm{T}}\)	\({\rm{F}}\)
\({\rm{T}}\)	\({\rm{F}}\)	\({\rm{T}}\)
\({\rm{F}}\)	\({\rm{T}}\)	\({\rm{T}}\)
\({\rm{F}}\)	\({\rm{F}}\)	\({\rm{T}}\)

Truth Table

Therefore, the truth has been constructed for NAND logical operator.