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Expert-verified Found in: Page 36 ### Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095 # 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.

See the step by step solution

## 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 ${\mathbf{p}}|\mathbf{q}$ .

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. ### Want to see more solutions like these? 