Chapter 2, Problem 31E

Program Plan Intro

a.

Octal numbers:

• Octal number system is also known as base 8 number system and uses the digits 0 to 7.
• These are made from binary numerals by grouping consecutive binary digits into three groups starting from the right.
• Octal numbers also makes it easy to write large binary numbers into smaller groups.

Hexadecimal numbers:

• Hexadecimal number system is a number system which consists of 16 digits and it is also known as base 16 number system.
• It consists of 10 digits from 0 to 9 and 6 letters from A to F.
• Hexadecimal makes it easy to write large binary numbers into smaller groups.
• It generally uses four bit binary coding.

Explanation of Solution

b.

Conversion of octal number 605 into hexadecimal value:

• Here the given octal value is 605.
• First convert the octal value 605 into its equivalent binary value. Hence the binary equivalent is 110000101.
• Separate four digits from right to left...

Explanation of Solution

c.

Conversion of octal number 443 into hexadecimal number:

• Here the given octal value is 443.
• First convert the octal value 443 into its equivalent binary value. Hence the binary equivalent is 100100011
• Separate four digits from right to left...

Explanation of Solution

d.

Conversion of octal number 521 into hexadecimal number:

• Here the given octal value is 521.
• First convert the octal value 521 into its equivalent binary value. Hence the binary equivalent is 101010001.
• Separate four digits from right to left...

Explanation of Solution

e.

Conversion of octal number 1 into hexadecimal number:

• Here the given octal value is 1.
• First convert the octal value 1 into its equivalent binary value. Hence the binary equivalent is 001.
• Separate four digits from right to left...