Binary Calculator

Perform arithmetic and bitwise operations on binary numbers. Add, subtract, multiply, divide, and use AND, OR, XOR, shift operations.

The Binary Calculator performs arithmetic and bitwise operations on binary (base 2) numbers. Binary is the fundamental number system used by computers, using only two digits: 0 and 1.

Enter the first binary number (using only 0s and 1s)
Select an operator: arithmetic (+, −, ×, ÷, %) or bitwise (&, |, ^, <<, >>)
Enter the second binary number
Click Calculate or press Enter to see results in all number bases

Full arithmetic operations: addition, subtraction, multiplication, division, modulo
Bitwise operations: AND, OR, XOR, left shift, right shift
Results displayed in binary, octal, decimal, and hexadecimal
Support for large numbers using BigInt
Quick examples for common operations

What is binary?: Binary is a base-2 number system using only 0 and 1. Each digit represents a power of 2. For example, 1010 in binary equals 10 in decimal (8+2).
What are bitwise operations?: Bitwise operations work on individual bits. AND (&) returns 1 only if both bits are 1. OR (|) returns 1 if either bit is 1. XOR (^) returns 1 if bits are different.
How do shift operations work?: Left shift (<<) multiplies by 2 for each position shifted. Right shift (>>) divides by 2. For example, 1 << 4 = 16 (shifting 1 left by 4 positions).