Binary arithmetic is the foundation of all computing. Computers perform every calculation using binary (base-2) operations. Understanding binary addition, subtraction, multiplication, and division provides insight into how processors work at the hardware level.
How to Use
Enter binary numbers:
- Operand A: First binary number (e.g., 1010)
- Operand B: Second binary number (e.g., 0011)
- Operation: +, −, ×, ÷
Binary Arithmetic Rules
- Addition: 0+0=0, 0+1=1, 1+0=1, 1+1=10 (carry 1)
- Subtraction: Uses two's complement for negative results
- Multiplication: Shift and add method
- Division: Long division in binary
Number Representation
Binary 1010 = decimal 10. Each bit position represents a power of 2: 2³+2¹ = 8+2 = 10.
Step-by-Step Instructions
- 1Enter the first binary number.
- 2Select an arithmetic operation.
- 3Enter the second binary number.
- 4View the result in multiple formats.
- 5Check the step-by-step breakdown.