Binary Calculator
Perform binary arithmetic
Frequently Asked Questions
What operations can the Binary Calculator perform?
The Binary Calculator supports addition, subtraction, multiplication, and division of binary numbers. It also shows the decimal equivalent of each binary input and the result.
How do I enter binary numbers correctly?
Binary numbers use only digits 0 and 1. Enter values like 1010 (which equals 10 in decimal) or 11001 (which equals 25 in decimal). The calculator validates your input and flags any non-binary digits.
What is the maximum binary number size supported?
The calculator handles binary numbers up to 64 bits (values up to 2^64 - 1 in unsigned representation). This covers most practical computing scenarios including 32-bit and 64-bit integer operations.
How does binary subtraction work when the result is negative?
When the second operand is larger, the result is displayed as a negative decimal value. In binary, negative numbers are typically represented using two's complement notation, which the calculator also shows.
Why is binary arithmetic important in computing?
Computers operate using binary at the hardware level. Understanding binary arithmetic is essential for programming, networking (IP addresses, subnet masks), digital electronics, and low-level system design.