Decimal to Octal Converter

Table of Contents

• How does decimal to octal conversion work?
• Decimal to octal conversion formula
• Example #1
• Example #2
• Decimal to octal conversion table

How does decimal to octal conversion work?

Converting a decimal number to octal involves transforming a base-10 number to its base-8 equivalent. In the octal system, numbers are represented using the digits 0 through 7. This system is used in computing and other technical fields due to its simplicity in representing grouped binary values.

Decimal to octal conversion formula

To convert a decimal number to octal, an iterative division process is followed:

1. Divide the decimal number by 8.
2. Record the remainder.
3. Continue dividing the quotient by 8 until the quotient is 0.
4. The remainders obtained represent the digits of the octal number, read from bottom to top.

Example #1

Convert the decimal number 65 to octal:

1. 65 ÷ 8 = 8, remainder 1.
2. 8 ÷ 8 = 1, remainder 0.
3. 1 ÷ 8 = 0, remainder 1.

The octal number is 101.

Example #2

Convert the decimal number 156 to octal:

1. 156 ÷ 8 = 19, remainder 4.
2. 19 ÷ 8 = 2, remainder 3.
3. 2 ÷ 8 = 0, remainder 2.

The octal number is 234.

Decimal to octal conversion table