Binary, Hex & Decimal Converter

Type a number in the binary, octal, decimal or hexadecimal box and the other boxes update instantly. A fifth box converts to and from any base between 2 and 36. Numbers of any size work, because the converter uses exact big-integer arithmetic instead of floating point.

Prefixes such as 0x, 0b and 0o are accepted, spaces and underscores are ignored, and negative numbers can be entered with a minus sign. Binary output can be grouped in fours for readability, and the number of bits is shown.

How to use the Binary, Hex & Decimal Converter tool

1. Type a number in any of the boxes, such as decimal 255.
2. Read the same value in binary, octal and hex.
3. Choose another base from 2 to 36 in the custom box if you need it.
4. Copy any result.

Why use ToolOrca Binary, Hex & Decimal Converter

• Binary, octal, decimal and hex together
• Any base from 2 to 36
• Unlimited size with exact arithmetic
• Accepts 0x, 0b and 0o prefixes
• Negative numbers
• Digit grouping and bit count

How to convert binary to decimal

Each binary digit is worth a power of two, starting with 1 on the right: 1, 2, 4, 8, 16 and so on. Add the values of the digits that are 1. For 1011: 8 + 0 + 2 + 1 = 11.

To go from decimal to binary, divide by 2 repeatedly and write down the remainders from bottom to top. 13 ÷ 2 = 6 r1, 6 ÷ 2 = 3 r0, 3 ÷ 2 = 1 r1, 1 ÷ 2 = 0 r1, giving 1101.

Why programmers use hexadecimal

One hex digit (0–9, A–F) represents exactly four binary digits, so a byte is always two hex digits: 11111111 = FF = 255. That is why hex is used for colors (#FF8800), memory addresses, byte dumps and character codes.