Binary Calculator
Perform addition, subtraction, multiplication, and division on binary numbers. All calculations are done client-side.
The Binary Calculator is a tool designed for students, programmers, and electronics enthusiasts to perform basic arithmetic operations in the binary number system (base-2). While humans typically use the decimal (base-10) system, computers operate fundamentally on binary logic, representing all data as sequences of 0s and 1s. This calculator simplifies binary math, allowing you to add, subtract, multiply, and divide binary numbers without manual conversion to decimal.
- Enter the first binary number in the 'First Binary Number' field.
- Enter the second binary number in the 'Second Binary Number' field.
- Click on the desired operation button (+, -, ×, ÷).
- The binary result will be displayed in the 'Result' box.
Binary arithmetic involves the same principles as decimal arithmetic, but with only two digits: 0 and 1. The basic rules for addition are: 0+0=0, 0+1=1, 1+0=1, and 1+1=10 (which is 0 with a 'carry-over' of 1). Subtraction, multiplication, and division follow similar principles with carry-overs and borrowing adapted for the base-2 system. This tool handles the conversions to and from decimal behind the scenes to perform the calculations accurately.
Does this tool handle negative numbers?
The result can be negative. The calculator uses standard JavaScript numbers for the internal calculation, so if the result is negative (e.g., 5 - 10), it will display the binary representation of the negative number (e.g., -101).
What about fractional results?
This calculator truncates fractional results and displays only the integer part of the binary number, which is common for basic binary calculators.
Is my data secure?
Yes. All calculations are performed directly in your browser. No data is sent to our servers.