Chapter 3, Problem 38E

a.

Program Plan Intro

Formula to compute positive number representation:

Positive [I] = 10^k – I        (1)

From the above formula,

• “k” is the number of digits in the given positive number
• “I” is the given positive number.

Formula to compute negative number representation:

${\text{Negative[I]=10}}^{\text{k}}-\text{I}$        (2)

From the above formula,

• “k” is the number of digits in the given  negative number
• “I” is the given negative number.

Explanation of Solution

b.

Calculating ten’s complement for the number “-35768”:

To compute ten’s complement for “-35768” use the formula from Equation(2), and substitute “k” value as “5” because the number of digits in the given negative number is “5” and substitute “I” value as “35768”...

Explanation of Solution

c.

Calculating ten’s complement for the number “-444455”:

To compute ten’s complement for “-444455” use the formula from Equation(2), and substitute “k” value as “6” because the number of digits in the given negative number is “6” and substitute “I” value as “444455”...

Explanation of Solution

d.

Calculating ten’s complement for the number “-123456”:

To compute ten’s complement for “-123456” use the formula from Equation(2), and substitute “k” value as “6” because the number of digits in the given negative number is “6” and substitute “I” value as “123456”...