Chapter 5, Problem 31RE

a.

Program Plan Intro

NOT gate:

• It accepts only one input value to produce the single output value.
• If the input is “0”, then the output is “1”.
• The output is the inversion of the input. So, it is also referred to as an inverter.
• The truth table for the “NOT” gate is as follows,

A	$X=\overline{A}$
0	1
1	0

• “NOT” operation can be denoted by “!”.

b.

Explanation of Solution

Simplification of expression:

The given expression is “$b==false$”

The symbol “!” represents “NOT”.

Here, the output is the inversion of the input.

Here, “b” is declared as “true” value

c.

Explanation of Solution

Simplification of expression:

The given expression is “$b!=true$”

The symbol “!” represents “NOT”.

Here, the output is the inversion of the input

d.

Explanation of Solution

Simplification of expression:

The given expression is “$b!=false$”

The symbol “!” represents “NOT”.

Here, the output is the inversion of the input