Binary to Octal Converter

Convert binary numbers to octal easily

Binary to Octal Conversion
Binary (BIN)
Octal (OCT)
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 BIN = 2 OCT
Base 2 → Base 8
Input Type
Binary (Base 2)
Output Type
Octal (Base 8)
Number System Conversion
Base 2 ↔ Base 8
System Comparison
From System
Binary (BIN)
Base: 2
To System
Octal (OCT)
Base: 8
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

10111001
B9
BIN HEX
1101110
6E
BIN HEX
11010001
209
BIN DEC
201
311
DEC OCT
218
332
DEC OCT
D8
330
HEX OCT
10111000
B8
BIN HEX
101011
43
BIN DEC
207
317
DEC OCT
11000100
196
BIN DEC

Binary to Octal Converter | Number Converter

Convert 10 from Binary to Octal. Binary number 10 = 2 in Octal. Easy number system conversion calculator for Binary to Octal.

Binary to Octal Conversion

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

Conversion Information

Base: 2 → 8
Valid Digits: 0-1
Example: 10 BIN = 2 OCT

Common Binary to Octal Conversions

Binary (BIN) = Octal (OCT) Description
1 1 One
10 2 Ten
100 4 One hundred

Understanding Binary and Octal

Binary (BIN)

Base-2 number system.

• Fundamental language of computers

• Uses only 2 digits: 0 and 1

• Each digit represents a bit (binary digit)

• All digital data is stored as binary

Octal (OCT)

Base-8 number system.

• Compact representation for binary

• Useful for file permission settings

• Sometimes used in programming

• Easier to read than long binary strings

Why Convert Binary to Octal?

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 Binary to Octal Conversion Works

The conversion process involves these steps:

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

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

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