Binary to Decimal Converter

What is Binary to Decimal Converter?

Paste a binary number (made only of 0s and 1s) and get its decimal equivalent instantly. Uses arbitrary-precision math under the hood, so there's no limit on how large a number you can convert. Binary-to-decimal conversion comes up whenever you're reading raw register values, network packet flags, or low-level embedded output and need the human-readable number behind the 0s and 1s. Because this uses BigInt rather than a fixed-width integer type, it stays accurate even on binary strings far longer than a normal 32- or 64-bit number, and it runs entirely in your browser. Nothing you paste is sent anywhere.

Binary to Decimal Chart (0-15)

How to Use the Binary to Decimal Converter

1. 1

   Paste or Type a Binary Number: Enter a string made only of 0s and 1s, such as 101101.

2. 2

   Read the Decimal Result Instantly: The decimal equivalent appears automatically as you type, with no button to click.

3. 3

   Copy the Result: Use the copy button to copy the decimal value for use in code, documentation, or a worksheet.

How Binary Place Values Work

Binary is base 2, so each digit's position represents a power of 2 rather than a power of 10 the way decimal does. Reading right to left, the positions are worth 1, 2, 4, 8, 16, 32, and so on, doubling each time. A decimal value is just the sum of the position values wherever there's a 1 bit.

How to Convert Binary to Decimal

Assign each bit its place value (1, 2, 4, 8, 16, 32, …) from right to left, then add up the place values where the bit is 1. For example, 101101: from right to left the bits are 1, 0, 1, 1, 0, 1, with place values 1, 2, 4, 8, 16, 32. Adding the ones where the bit is 1: 1 + 4 + 8 + 32 = 45.

Examples

1111 → 8 + 4 + 2 + 1 = 15
11111111 → 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255
100000 → 32