Binary Calculator

1. Enter the first binary number (e.g., 1010) into the First Binary Number field.
2. Choose an operation (addition, subtraction, multiplication, or division) from the dropdown.
3. Enter the second binary number (e.g., 1111) into the Second Binary Number field.
4. Click “Calculate.” The result in binary will appear in the Result field.
5. Click “Clear” if you want to reset all fields and start over.

Binary is a base-2 numeral system that uses only two digits—0 and 1—to represent numbers. Because each digit (bit) can be in one of two states, binary naturally aligns with the on/off nature of electronic circuits and is thus the foundation of modern computers.

In mathematics, you can perform the same operations (addition, subtraction, multiplication, and division) using binary digits. For example, when adding two binary numbers, you combine each pair of bits (0 or 1) from right to left and “carry” a 1 to the next column whenever the sum exceeds 1. The same logic extends to subtraction (with borrowing), multiplication (repeated addition), and division (repeated subtraction), just like in decimal arithmetic—except everything is done with 0s and 1s.