# Binary Converter

> Convert between binary, decimal, hexadecimal, and octal as you type — exact for numbers of any size — with two's complement for 8/16/32/64 bits, bit and byte counts, step-by-step working, and a live binary clock.

- Page: https://linguaholic.com/tools/binary-converter/
- Type: free online tool (Converters & translators), no sign-up, runs in the browser
- Publisher: Linguaholic (https://linguaholic.com/), made by Marcel Iseli
- Last updated: October 2, 2026
- Open it pre-filled: https://linguaholic.com/tools/binary-converter/?n=255
  - `n`: the number to convert (decimal unless base is given; a 0b, 0x or 0o prefix sets the base by itself; a leading minus is allowed) (for example `255`)
  - `base`: base that n is written in: 2, 8, 10 or 16 (also binary, octal, decimal, hex) (for example `10`)
  - `bits`: width for the two's complement panel: 8, 16, 32 or 64 (for example `8`)

## How to use the binary converter

A **binary converter** changes a number from one number system to another: binary (base 2), decimal (base 10), hexadecimal (base 16), and octal (base 8). Type a number into any box — **binary**, **decimal**, **hexadecimal**, or **octal** — and the other three update instantly. Prefixes like `0b`, `0x`, and `0o`, spaces, and underscores are all fine. Numbers of any size stay exact, from a single bit to 64-bit values and beyond. Below the boxes you’ll find the **two’s complement** form for 8, 16, 32, and 64 bits and the full working for each conversion.

## Binary to decimal

To convert **binary to decimal**, write the place values over the bits — 1, 2, 4, 8, 16 … from right to left — and add the place values wherever there’s a 1. Example: `101101` = 32 + 8 + 4 + 1 = **45**. The converter shows this sum for every number you type.

## Frequently asked questions

**How do I convert binary to decimal?**

Type the binary number in the Binary box and the decimal value appears instantly. By hand: add the place values (1, 2, 4, 8, 16 …) wherever there's a 1 — 101101 = 32 + 8 + 4 + 1 = 45. The converter shows this sum for you.

**How do I convert decimal to binary?**

Type the number in the Decimal box. By hand, divide by 2 repeatedly and read the remainders from bottom to top — the converter shows the full division table.

**How do I convert binary to hex?**

Split the bits into groups of four from the right and replace each group with a hex digit: 1010 1111 = AF. The converter does it instantly in both directions.

**What is two's complement?**

It's how computers store negative numbers. Flip all the bits of the positive number and add 1: −5 in 8 bits is 11111011. Choose 8, 16, 32 or 64 bits to see any value.

**How large a number can it convert?**

Any size — the converter uses exact arithmetic, so 64-bit values and much larger numbers are converted without rounding.

**Is anything uploaded?**

No. Everything runs in your browser — nothing you type is uploaded or stored.

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