Octal to Decimal

This octal-to-decimal converter is a calculator that allows you to convert numbers written in the octal number system into their decimal equivalents. Octal is a base-8 number system that uses digits from 0 to 7, while decimal is a base-10 number system that uses digits from 0 to 9. This converter helps simplify converting numbers between these two systems by providing accurate decimal representations of octal numbers.

Example Conversions

Convert the octal number 5263 to its decimal equivalent:

Each digit in the octal number represents a power of 8, starting from the rightmost digit.
3 * 80 = 3 * 1 = 3
6 * 81 = 6 * 8 = 48
2 * 82 = 2 * 64 = 128
5 * 83 = 5 * 512 = 2560
Combine the  Results:  2560 + 128 + 48 + 3 = 2739

The decimal equivalent of the octal number 5263 is 2739

Convert the octal number 342.643 to its decimal equivalent:

Split into Integer and Fractional Parts:
Integer Part: 342
Fractional Part: 0.643
Integer Part Conversion (342):
Starting from the rightmost digit.
2 * 80 = 2 * 1 = 2
4 * 81 = 4 * 8 = 32
3 * 82 = 3 * 64 = 192
Fractional Part Conversion (0.643):
Starting with the first digit after the octal point.
6 * 8-1 = 6 * (1/8) 0.125 = 0.75
4 * 8-2= 4 * (1/64)  0.015625 = 0.0625
3 * 8-3 = 3 * (1/512)  0.001953125= 0.005859375
Combine Results:
Integer part: 192 + 32 + 2 = 226
Fractional part: 0.75 + 0.0625 + 0.005859375 = 0.818359375
226.818359375 (base 10)

The octal number 342.643 is equal to decimal 226.818359375 

Octal System (Base-8) Calculators