Chapter 5, Problem 32RE

a.

Program Plan Intro

AND gate:

• The “AND” gate refers to a logic gate whose output will be “HIGH” only when all the inputs are “HIGH”.
• The output of “AND” gate will be “LOW” when any one of its input will be “LOW”.
• The truth table for “AND” gate is as follows:

A	B	$Y=A\&\&B$
0	0	0
0	1	0
1	0	0
1	1	1

• “AND” operation can be denoted by “&&”.

OR gate:

• The “OR” gate refers to a logic gate whose output will be “HIGH” when any one of the inputs or both is “HIGH”.
• The output of “OR” gate will be “LOW” when both the inputs will be “LOW”.
• The truth table for “OR” gate is as follows:

A	B	$Y=A\left|\right|B$
0	0	0
0	1	1
1	0	1
1	1	1

• “OR” operation can be denoted by “||”.

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 program code is as follows

//Define if statement

if(n=0)

{

    //Declare b value

    b=false;

}

//Otherwise

else

{

    //Declare b value

    b=true;

}

• If “n” is equal to “0”.
  • “b” is declared as “false”.
• Otherwise
  • “b” is declared as “true”...

c.

Explanation of Solution

Simplification of expression:

The given program code is as follows

//Declare b value

b = false;

//Define if condition

if(n>1)

{

    //Define if condition

    if(n<2)

    {

        //Declare b value

        b = true;

    }

}

• “b” is declared as “false”.
• If “n” is greater than “1”.
  • If “n” is less than “2”.
    • “b” is declared as “true”.

Here, “n” is an “int” variable and “b” is “Boolean” variable and declared as “false”...

d.

Explanation of Solution

Simplification of expression:

The given program code is as follows

//Define if statement

if(n<1)

{

    //Declare b value

    b=true;

}

//Otherwise

else

{

    //Declare b value

    b = n>2;

}

• If “n” is less than “1”.
  • “b” is declared as “true”.
• Otherwise
  • “b” is declared as “n>2”.

Here, “n” is an “int” variable and declared with the value “0” and “b” is “Boolean” variable...