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Binary Calculator
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Convert binary ⇄ decimal, or perform math directly on two binary numbers.
| Binary 1 in Decimal | 10 |
| Binary 2 in Decimal | 6 |
| Result in Decimal | 16 |
| Result in Binary | 10000 |
How Binary Numbers Work
Binary is base-2: every digit is either 0 or 1, and each position represents a power of 2 (1, 2, 4, 8, 16...) instead of a power of 10 like decimal numbers. To convert binary to decimal, you add up the powers of 2 for every position that has a 1. To convert decimal to binary, you repeatedly divide by 2 and record the remainders.
Doing Math in Binary
This calculator converts both binary numbers to decimal, performs the requested operation (addition, subtraction, multiplication, or division), and converts the result back to binary - so you get both the binary answer and its decimal equivalent.