Chapter 2, Problem 34E

Program Plan Intro

a.

Decimal number:

• 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.

Hexadecimal number:

• Hexadecimal number system is a positional number system with a radix or base of 16.
• These are widely used by computer system designers and programmers.
• Each hexadecimal digit represents four binary digits which is also known as nibble.
• Hexadecimal numbers are 0-9 and letters A-F.

Explanation of Solution

b.

Conversion of decimal number 1939 into hexadecimal value:

• Divide 1939 by 16 and it returns 121 as quotient and 3 as remainder.
• Divide 121 by 16 and it returns 7 as quotient and 9 as remainder.
• Divide 7 by 16 and it is not possible as 7 is less than 16...

Explanation of Solution

c.

Conversion of decimal number 1 into hexadecimal value:

• Divide number 1 by 16. It is not possible as 1 is less than 16...

Explanation of Solution

d.

Conversion of decimal number 998 into hexadecimal value:

• Divide 998 by 16 and it returns 62 as quotient and 6 as remainder.
• Divide 62 by 16 and it returns 3 as quotient and 14 as remainder. The corresponding hexadecimal value for 14 is E...

Explanation of Solution

e.

Conversion of decimal number 43 into hexadecimal value:

• Divide 43 by 16 and it returns 2 as quotient and 11 as remainder. The corresponding hexadecimal value for 11 is B.
• Divide 2 by 16 and it is not possible as 2 is less than 16...