Convert binary to decimal
Binary (base 2) to decimal (base 10). Type a value below, or use the reference table further down.
Multiply each digit by 2 raised to its position, counting from zero on the right, then add the results. 1010 comes to 10 in decimal.
How to convert binary to decimal
Multiply each digit by 2 raised to its position, counting from zero on the right, then add the results. 1010 comes to 10 in decimal.
Conversions here use arbitrary-precision integers, so values beyond 64 bits convert exactly rather than being rounded.
binary to decimal conversion table
Use this binary to decimal chart for quick reference.
| Binary (base 2) | Decimal (base 10) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | 10 |
| 1011 | 11 |
| 1100 | 12 |
| 1101 | 13 |
| 1110 | 14 |
| 1111 | 15 |
| 10000 | 16 |
| 100000 | 32 |
| 1000000 | 64 |
| 1100100 | 100 |
| 1111111 | 127 |
| 10000000 | 128 |
| 11111111 | 255 |
| 100000000 | 256 |
| 1000000000 | 512 |
| 1111101000 | 1000 |
| 1111111111 | 1023 |
| 10000000000 | 1024 |
| 111111111111 | 4095 |
| 1000000000000 | 4096 |
| 1111111111111111 | 65535 |
| 10000000000000000 | 65536 |
Common binary to decimal values
101110010111011110001001101010111100111110000101011101011111100000101010100000010101011100100100000001010101011111111100000000111111111110000000000
What is binary?
Binary is base 2, using only 0 and 1. It is how every digital computer physically stores and manipulates data, with each digit representing one bit.
What is decimal?
Decimal is base 10, the everyday number system, using the digits 0 to 9. Each place is worth ten times the one to its right.
Frequently asked questions
How do you convert binary to decimal?
Multiply each digit by 2 raised to its position, counting from zero on the right, then add the results. 1010 comes to 10 in decimal.
What is 1010 binary in decimal?
1010 in binary is 10 in decimal. In plain decimal that value is 10.
What digits does binary use?
Binary is base 2 and uses 0 and 1. Binary is base 2, using only 0 and 1. It is how every digital computer physically stores and manipulates data, with each digit representing one bit.