Binary Arithmetic Calculator

Perform binary addition, subtraction, multiplication, and division with detailed step-by-step solutions

Select Operation:

+

Binary Arithmetic Rules

Addition

0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10 (0 with carry 1)

Subtraction

0 - 0 = 0
1 - 0 = 1
1 - 1 = 0
0 - 1 = 1 (with borrow 1)

Multiplication

0 × 0 = 0
0 × 1 = 0
1 × 0 = 0
1 × 1 = 1

Example Calculations

Applications in Computing

  • ALU operations in processors
  • Digital circuit design
  • Error detection and correction
  • Cryptography algorithms
  • Computer graphics operations

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