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| Meta Title | Octal to Decimal Converter |
| Meta Description | Octal to decimal number converter and how to convert. |
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| Boilerpipe Text | From
To
Enter octal number
8
Decimal number
10
Hex number
16
Decimal calculation steps
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:
627
8
= 6×8
2
+2×8
1
+7×8
0
= 1580
10
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:
653
10
= 6×10
2
+5×10
1
+3×10
0
How to convert from octal to decimal
A regular decimal number is the sum of the digits multiplied with 10
n
.
Example #1
137 in base 10 is equal to each digit multiplied with its corresponding 10
n
:
137
10
= 1×10
2
+3×10
1
+7×10
0
= 100+30+7
Octal numbers are read the same way, but each digit counts 8
n
instead of 10
n
.
Multiply each digit of the hex number with its corresponding 8
n
.
Example #2
37 in base 8 is equal to each digit multiplied with its corresponding 8
n
:
37
8
= 3×8
1
+7×8
0
= 24+7 = 31
Example #3
7014 in base 8 is equal to each digit multiplied with its corresponding power of 8:
7014
8
= 7×8
3
+0×8
2
+1×8
1
+4×8
0
= 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 ►
See also
Decimal to octal converter
Binary to decimal converter
Hex to decimal converter
Numeral systems
Conversion |
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[Home](https://www.rapidtables.com/)›[Conversion](https://www.rapidtables.com/convert/index.html)›[Number conversion](https://www.rapidtables.com/convert/number/index.html)›[Octal to decimal](https://www.rapidtables.com/convert/number/octal-to-decimal.html)
# Octal to Decimal Converter
[Decimal to octal converter ►](https://www.rapidtables.com/convert/number/decimal-to-octal.html)
## 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 | Decimalbase 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 ►](https://www.rapidtables.com/convert/number/decimal-to-octal.html)
***
## See also
- [Decimal to octal converter](https://www.rapidtables.com/convert/number/decimal-to-octal.html)
- [Binary to decimal converter](https://www.rapidtables.com/convert/number/binary-to-decimal.html)
- [Hex to decimal converter](https://www.rapidtables.com/convert/number/hex-to-decimal.html)
- [Numeral systems](https://www.rapidtables.com/math/number/Numeral_system.html)
- [Conversion](https://www.rapidtables.com/convert/index.html)
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| Readable Markdown | [Decimal to octal converter ►](https://www.rapidtables.com/convert/number/decimal-to-octal.html)
## 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 | Decimalbase 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 ►](https://www.rapidtables.com/convert/number/decimal-to-octal.html)
***
## See also
- [Decimal to octal converter](https://www.rapidtables.com/convert/number/decimal-to-octal.html)
- [Binary to decimal converter](https://www.rapidtables.com/convert/number/binary-to-decimal.html)
- [Hex to decimal converter](https://www.rapidtables.com/convert/number/hex-to-decimal.html)
- [Numeral systems](https://www.rapidtables.com/math/number/Numeral_system.html)
- [Conversion](https://www.rapidtables.com/convert/index.html) |
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