# Octal to decimal

This converter can convert octal number to decimal very quickly, just type your octal number. e.g. you enter '77' you will get '63'. Negative and floating point numbers are supported. At the same time, you can also choose any conversion between binary to base 36. Decimal to octal

 Base(default Octal) 8(octal) More base: 2(binary)345678(octal)910 (decimal)111213141516(hexadecimal)1718192021222324252627282930313233343536 Octal(base 8) Target base(default decimal) 10(decimal)More base: 2345678(octal)910(decimal)111213141516(Hexadecimal)1718192021222324252627282930313233343536 Conversion result

## Knowledge of converter

The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right). For example, the binary representation for decimal 74 is 1001010. Two zeroes can be added at the left: (00)1 001 010, corresponding the octal digits 1 1 2, yielding the octal representation 112.

## How to convert octal to decimal

1. We all know the conversion between decimal numbers:

12310 = 1×102+2×101+3×100 = 100+20+3

2. Octal conversion is also the same formula, except that the power 10 is replaced with 8:

decimal = dn-1×8n-1 + ... + d3×83 + d2×82 + d1×81+d0×80

## Example

Example 1

Convert octal number 176 to decimal

1768 = 1x82 + 7x81 + 6x80 = 6410 + 5610+610=126

Example 2

Convert octal number 0.6 to decimal

0.68 = 0x80 + 6x8-1=0 + 0.75 = 0.75

## Octal to decimal conversion table

Octal(base 8)Decimal(base 10)
00
11
22
33
44
55
66
77
108
119
1210
1311
1412
1513
1614
1715
2016
3024
4032
5040
6048
7056
10064