Binary Calculator
Perform binary arithmetic operations and conversions with detailed steps
Use the following calculators to perform the addition, subtraction, multiplication, or division of two binary values, as well as convert binary values to decimal values, and vice versa.
Modify the values and click the Calculate button to use.
Binary Calculation—Add, Subtract, Multiply, or Divide
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Convert Binary Value to Decimal Value
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Convert Decimal Value to Binary Value
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About the Binary System
The binary number system is a base-2 numeral system that uses only two digits: 0 and 1. This contrasts with the decimal system (base-10) which uses ten digits (0-9). Binary operations follow the same mathematical rules as decimal operations, but the calculations are performed using only 0s and 1s. The binary system is fundamental to computer science and digital electronics because it can be easily implemented in digital circuitry using two-state devices (on/off, high/low, true/false).
Binary/Decimal Conversion Table
| Decimal | Binary |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 7 | 111 |
| 8 | 1000 |
| 10 | 1010 |
| 16 | 10000 |
| 20 | 10100 |