Convert binary to decimal quickly with our Base 2 to Base 10 Calculator. Enter your base 2 numbers into the calculator below to convert them to base 10.
Base 2 to Base 10
How to Convert Base 2 to Base 10
To convert base 2 to base 10, start from the rightmost digit and move left, multiplying each bit by 2 raised to the power of its position (starting from 0). Then, add all these values together. For example, the base 2 number 1011 is calculated as (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 8 + 0 + 2 + 1 = 11 in base 10.
Base 2 to Base 10 Calculator
The base 2 to base 10 converter provides instant, accurate conversions between these fundamental number systems. Essential for computer science students, programmers, and digital electronics work, our tool handles multiple base 2 numbers simultaneously when separated by spaces.
Simply enter your base 2 value, click Convert, and immediately see the base 10 equivalent.
Base 10 Definition:
Base 10 is the standard number system we use in everyday life. It uses ten digits: 0 through 9. Each digit represents a power of 10, starting from the rightmost digit (10⁰). It is called "decimal" because it is based on ten.
Base 2 Definition:
Base 2 is a number system that uses only two digits: 0 and 1. Each digit represents a power of 2, starting from the rightmost digit (2⁰). It is commonly used in computers and digital systems because it reflects the on/off (true/false) states of electronic components.
Base 2 to Base 10 Conversion Table
| Binary | Decimal | Binary | Decimal |
|---|---|---|---|
| 0000000 | 0 | 0100000 | 32 |
| 0000001 | 1 | 0100001 | 33 |
| 0111111 | 63 | 1011111 | 95 |
| 1000000 | 64 | 1100000 | 96 |
| 1000001 | 65 | 1100001 | 97 |
| 1111110 | 126 | 1111111 | 127 |
Related: Convert Base 10 to Base 2
