# Octal to Decimal Converter

8
10
16

Decimal to octal converter ►

## Octal

Octal number is a number expressed in the base 8 numeral system. Octal number's digits have 8 symbols: 0,1,2,3,4,5,6,7. Each digit of an octal number counts a power of 16.

Octal number example:
6278 = 6×82+2×81+7×80 = 158010

## Decimal

Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.

Decimal number example:
65310 = 6×102+5×101+3×100

## How to convert from octal to decimal

A regular decimal number is the sum of the digits multiplied with 10n.

#### Example #1

137 in base 10 is equal to each digit multiplied with its corresponding 10n:

13710 = 1×102+3×101+7×100 = 100+30+7

Octal numbers are read the same way, but each digit counts 8n instead of 10n.

Multiply each digit of the hex number with its corresponding 8n.

#### Example #2

37 in base 8 is equal to each digit multiplied with its corresponding 8n:

378 = 3×81+7×80 = 24+7 = 31

#### Example #3

7014 in base 8 is equal to each digit multiplied with its corresponding power of 8:

70148 = 7×83+0×82+1×81+4×80= 3584+0+8+4 = 3596

### Octal to decimal conversion table

Octal

base 8

Decimal

base 10

0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
10 8
11 9
12 10
13 11
14 12
15 13
16 14
17 15
20 16
30 24
40 32
50 40
60 48
70 56
100 64

Decimal to Octal converter ►