Binary Calculator – Add and Subtract Binary Numbers
Free binary calculator: add and subtract binary numbers. Enter two base-2 values and get the result in binary. Useful for computer science, digital logic, and learning binary arithmetic. No sign-up, runs in your browser.
Binary Calculator
Add or subtract two binary numbers. Enter values using only 0 and 1.
How binary arithmetic works
Binary uses only 0 and 1. Addition follows the same rules as decimal but with carries: 0+0=0, 0+1=1, 1+0=1, 1+1=10 (write 0, carry 1). Subtraction borrows when needed. The calculator converts your binary input to decimal, performs the operation, and converts the result back to binary.
Example: 1010 + 110 = 10 + 6 = 16 = 10000 in binary
When and why to use a binary calculator
Binary (base-2) is the number system used by all digital computers. While humans use decimal (0–9), computers store and process data as sequences of bits—0s and 1s. A binary calculator helps you add and subtract binary numbers without manual conversion, which is useful when studying computer science, digital electronics, or networking.
Common uses include verifying homework in a digital logic course, debugging bitwise operations in code, and understanding how CPUs perform arithmetic. The calculator converts your binary input to decimal, performs the operation, and returns the result in binary. For hexadecimal (base-16) arithmetic, use our hex calculator. For converting between number systems, a unit converter or dedicated base converter can help.
This tool runs in your browser and does not store your inputs. It supports addition and subtraction of non-negative binary numbers. For negative results in subtraction, the calculator will report an error—signed binary (two's complement) requires a different approach.