Chapter 2, Problem 36E

Program Plan Intro

a.

Decimal numbers:

• A decimal number is a number in which the whole number part and the fractional part is separated by a decimal point.
• The dot is known as a decimal point of a decimal number.
• Hence decimal numbering system is a method for representing both integer and non-integer numbers.

Base 18 numbers:

• Base 18 number system consists of 18 numbers that is from 0 to 17.
• The base value of base 18 number system is 18 as it contains 18 digits.
• For base 18 number system, the numbers from 0 to 9 are represented as same as in decimal system.
• From 10 to 15, the values for base 18 are represented in the form of characters from A to F.
• For base 18, numbers from 0 to 15 are represented as hexadecimal numbers and it use symbols for numbers 16 and 17.

Explanation of Solution

b.

Conversion of decimal number 99099 into base 18 value:

• Divide 99099 by 18 and it returns 5505 as quotient and 9 as remainder.
• Divide 5505 by 18 and it returns 305 as quotient and 15 as remainder. The corresponding base 18 value for 15 is F.
• Divide 305 by 18 and it returns 16 as quotient and 17 as remainder. The corresponding base 18 value for 17 is @...

Explanation of Solution

c.

Conversion of decimal number 1 into base 18 value:

• Divide number 1 by 18. It is not possible as 1 is less than 18...