How Do You Convert Octal To Binary?

Octal" and "binary" are both expressions of the base for a counting system. Counting base describes the number at which a system adds a second digit. For example our current counting system adds a second digit at 10 and is thus described as a base ten, or "Decimal" counting system.

Octal is a base 8 system and binary is a base 2 system. People convert octal to binary either to simplify computer programming or as an exercise in number theory. In both cases, it's easiest to convert the octal to decimal, then the decimal to binary.

Multiply the last digit of the octal number by one (8 to the zeroth power). In this and the following steps, write down the result in a column. Multiply the second to last digit of the octal number by 8 (8 to the first power).

Multiply the third to last digit of the octal number by 64 (eight to the second power). Multiply the fourth to last digit of the octal number by 512 (8 to the third power). Continue applying this pattern until you have processed the ... more.

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