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ToolMug

Binary, Decimal & Hex Converter

Enter a number in any base from 2 to 36 and see it in binary, octal, decimal, hexadecimal and a base of your choice at once. Arbitrarily large integers stay exact, and negative numbers also show their two's complement bit pattern.

Runs in your browser — nothing you enter is uploaded

Binary1111 1111
Octal377
Decimal255
HexadecimalFF
Base 3673
Custom base (7)513

How to use

  1. Type the number. Prefixes 0x, 0o and 0b and separators like _ or spaces are accepted.
  2. Choose the base it is written in.
  3. Read the value in every other base; copy any of them.
  4. Set a custom base (2–36) to see an unusual one such as base 32.

Options explained

Input base
Digits above 9 use letters — a is 10, f is 15, z is 35. Letters are case-insensitive.
Large numbers
Calculations use arbitrary-precision integers, so 64-bit and larger values are exact instead of rounding like a normal calculator.
Two’s complement
For negative numbers, shows the bit pattern a computer stores in the smallest fitting 8, 16, 32, 64 or 128-bit signed integer.
Group digits
Splits binary and hex into groups of four and decimal into groups of three for readability. Copy removes the spaces.

Quick reference

Decimal Binary Octal Hex
0 0 0 0
7 111 7 7
10 1010 12 A
15 1111 17 F
16 10000 20 10
255 1111 1111 377 FF
1024 100 0000 0000 2000 400
65535 1111 1111 1111 1111 177777 FFFF

Frequently asked questions

How do I convert binary to decimal by hand?

Multiply each bit by 2 raised to its position, counting from 0 on the right, then add. 1011 is 1×8 + 0×4 + 1×2 + 1×1 = 11.

Why is one hex digit equal to four bits?

Sixteen values (0–f) need exactly four bits (2⁴ = 16), so each hex digit maps to one nibble. That is why hex is used to write bytes compactly — two digits per byte.

Does it support fractions?

No, integers only. Fractions such as 0.1 often have no exact finite representation in binary.

What is the largest number it can convert?

There is no practical limit; numbers with thousands of digits convert instantly.

Privacy

This tool runs entirely in your browser. Your files and text are processed on your device and are never uploaded to our servers.

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