Binary to Decimal Converter
0
Quick Examples
Enter a binary value to see the conversion steps here.
Other Conversions
Binary to Decimal Converter
A Binary to Decimal Converter helps convert binary numbers (base-2) into decimal numbers (base-10), which are commonly used in everyday calculations.
Multiply each binary digit by its corresponding power of 2 and add all the values to get the decimal number.
What Is the Binary Number System?
The binary number system is a base-2 number system used by computers. It uses only two digits: 0 and 1. In digital systems, 1 represents ON and 0 represents OFF.
What Is the Decimal Number System?
The decimal number system is the number system we use in daily life. It is based on 10 digits (0 to 9).
How to Convert Binary to Decimal
- Write the binary number
- Assign powers of 2 to each digit from right to left
- Multiply each binary digit by its power of 2
- Add all the values
- The final sum is the decimal number
Example: Convert 11001 (Binary) to Decimal
| Binary Digit | Power of 2 | Value |
|---|---|---|
| 1 | 2⁴ | 16 |
| 1 | 2³ | 8 |
| 0 | 2² | 0 |
| 0 | 2¹ | 0 |
| 1 | 2⁰ | 1 |
11001₂ = 25₁₀
Example: Convert Binary to (Decimal) and Table
Binary to Decimal Conversion Table
| Binary | Decimal |
|---|---|
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | 10 |
| 10000 | 16 |
FAQ on Binary to Decimal Converter
Binary to decimal conversion is the process of converting a base-2 number into a base-10 number using powers of 2.
Computers use binary numbers because electronic circuits can easily represent two states: ON (1) and OFF (0).
The easiest way is multiplying each binary digit by its corresponding power of 2 and then adding all the values.