Short Answer

Construct a truth table for the logical operator NAND

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.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1: Definition of Truth Table

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

Step 2: 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 $p | q$ .

Prepare the truth table for $p | q$ .

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

Truth Table

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

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

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Discrete Mathematics and its Applications

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Short Answer

Construct a truth table for the logical operator NAND

Step by Step Solution

Step1: Definition of Truth Table

Step 2: Construction of a truth table for the logical operator

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Discrete Mathematics and its Applications

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Short Answer

Construct a truth table for the logical operator NAND

Step by Step Solution

Step1: Definition of Truth Table

Step 2: Construction of a truth table for the logical operator

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