Octal to Binary Converter

Convert octal numbers to binary easily

Octal to Binary Conversion
Octal (OCT)
Binary (BIN)
Common Number Values
Number System Basics
Decimal (Base 10): 0-9
Binary (Base 2): 0-1
Octal (Base 8): 0-7
Hexadecimal (Base 16): 0-9, A-F
Conversion Result
10 OCT = 1000 BIN
Base 8 → Base 2
Input Type
Octal (Base 8)
Output Type
Binary (Base 2)
Number System Conversion
Base 8 ↔ Base 2
System Comparison
From System
Octal (OCT)
Base: 8
To System
Binary (BIN)
Base: 2
Quick Reference
Decimal Binary Octal Hexadecimal
0 0 0 0
1 1 1 1
2 10 2 2
3 11 3 3
4 100 4 4
5 101 5 5
6 110 6 6
7 111 7 7
8 1000 10 8
9 1001 11 9
10 1010 12 A
15 1111 17 F
16 10000 20 10
31 11111 37 1F
32 100000 40 20
63 111111 77 3F
64 1000000 100 40
127 1111111 177 7F
128 10000000 200 80
255 11111111 377 FF

Related Number Conversions

213
139
OCT DEC
242
162
OCT DEC
301
C1
OCT HEX
337
223
OCT DEC
222
11011110
DEC BIN
16
E
OCT HEX
A9
10101001
HEX BIN
204
11001100
DEC BIN
67
55
OCT DEC
136
10001000
DEC BIN

Octal to Binary Converter | Number Converter

Convert 10 from Octal to Binary. Octal number 10 = 1000 in Binary. Easy number system conversion calculator for Octal to Binary.

Octal to Binary Conversion

Convert octal numbers to binary easily with our accurate number system converter. This conversion is essential for various programming, mathematical, and technical applications.

Conversion Information

Base: 8 → 2
Valid Digits: 0-7
Example: 10 OCT = 1000 BIN

Common Octal to Binary Conversions

Octal (OCT) = Binary (BIN) Description
1 1 One
2 10 Two
4 100 Four
10 1000 Ten
16 1110 Sixteen
32 11010 Thirty-two
64 110100 Sixty-four
100 1000000 One hundred
255 10101101 Two fifty-five

Understanding Octal and Binary

Octal (OCT)

Base-8 number system.

• Base-8 number system

• Uses 8 digits: 0 through 7

• Each octal digit represents 3 binary digits

• Commonly used for Unix file permissions

Binary (BIN)

Base-2 number system.

• Required for computer operations

• Essential for digital logic design

• Used in programming bitwise operations

• Foundation of all digital systems

Why Convert Octal to Binary?

This conversion is particularly useful for:

  • Programming and software development
  • Computer science education
  • Digital electronics and hardware design
  • Technical documentation and debugging

Conversion Method

How Octal to Binary Conversion Works

The conversion process involves these steps:

  1. Validate the input octal number
  2. Convert to decimal (base 10) as an intermediate step
  3. Convert from decimal to binary
  4. Format and display the result

Our converter handles all these steps automatically, providing instant and accurate results for any valid octal input.

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