Technology
Binary Calculator
Add, subtract, multiply, and divide binary numbers instantly. This free binary calculator shows results in binary, decimal, and hexadecimal with quotient and remainder support.
Binary Calculator
Method
How this calculator works
Each binary operand is parsed to a decimal integer with parseInt(value, 2), the selected operation is applied, and the result is converted back to binary plus its decimal and hexadecimal equivalents. Division reports an integer quotient and remainder.
FAQ
Frequently asked questions
What is a binary number?
Binary (base 2) is a number system that uses only two digits, 0 and 1. Each position represents a power of two, and it is the native language of digital computers.
How does this binary calculator work?
Each binary input is parsed into a decimal integer with parseInt(value, 2), the chosen operation is applied, and the result is converted back to binary along with decimal and hexadecimal equivalents.
What does binary division show?
Division returns the integer quotient and the remainder. If the second operand is zero, the calculator blocks the operation and displays a divide-by-zero error.
Which characters count as valid binary?
Only the digits 0 and 1 are accepted. Any other character, including spaces inside the number or a 0b prefix, results in a validation error.
Why show hexadecimal alongside binary?
Hexadecimal is a compact shorthand for binary—each hex digit maps to exactly four bits—so viewing both makes it easier to read long binary strings and debug bitwise logic.