Convert Binary to Decimal
Live bidirectional calculator for Binary (BIN) and Decimal (DEC) with verified formula and conversion charts.
Number Bases4 units
How the Calculation Works (Radix Base Conversion)
Arbitrary-precision integer conversion using BigInt representation.
Binary to Decimal Conversion Table
Precomputed values for quick reference and printing.
| Binary | Decimal |
|---|---|
| 1 BIN | 1 DEC |
| 10 BIN | 2 DEC |
| 100 BIN | 4 DEC |
| 1000 BIN | 8 DEC |
| 1010 BIN | 10 DEC |
| 1111 BIN | 15 DEC |
| 10000 BIN | 16 DEC |
| 100000 BIN | 32 DEC |
| 1000000 BIN | 64 DEC |
| 1100100 BIN | 100 DEC |
| 10000000 BIN | 128 DEC |
| 11111111 BIN | 255 DEC |
| 100000000 BIN | 256 DEC |
| 1000000000 BIN | 512 DEC |
| 10000000000 BIN | 1024 DEC |
| Decimal | Binary |
|---|---|
| 1 DEC | 1 BIN |
| 2 DEC | 10 BIN |
| 4 DEC | 100 BIN |
| 8 DEC | 1000 BIN |
| 10 DEC | 1010 BIN |
| 15 DEC | 1111 BIN |
| 16 DEC | 10000 BIN |
| 32 DEC | 100000 BIN |
| 64 DEC | 1000000 BIN |
| 100 DEC | 1100100 BIN |
| 128 DEC | 10000000 BIN |
| 255 DEC | 11111111 BIN |
| 256 DEC | 100000000 BIN |
| 512 DEC | 1000000000 BIN |
| 1024 DEC | 10000000000 BIN |
About Binary (BIN)
The Binary system is a positional numeral system with radix 2.
History: Used extensively in modern computing systems.
Common Uses: Data processing, hardware registers, and digital logic.
About Decimal (DEC)
The Decimal system is a positional numeral system with radix 10.
History: Used extensively in computer architecture.
Common Uses: Software development, memory addressing, and data encoding.
โ Frequently Asked Questions
What is the difference between Binary and Decimal?
Binary (BIN) and Decimal (DEC) are positional numeral systems with different radix bases. In computer architecture, values are converted between bases using arbitrary-precision binary/hex representations.
How do I convert Binary to Decimal?
Parse each digit of the Binary input according to its base powers, then repeatedly divide or format the integer into the target Decimal radix digits.