technology ToolUpdated 2026-09-19
Binary Calculator (Add, Subtract, Multiply)
Perform binary math operations including addition, subtraction, and multiplication with full step-by-step bitwise breakdowns.
Formula & Mathematical Methodology
Base-2 Binary Arithmetic
Evaluates addition with carry-over (1 + 1 = 10₂) and bitwise logic.
How to Use This Binary Calculator (Add, Subtract, Multiply)
- Enter strings containing only 0 and 1.
Step-by-Step Worked Example
Scenario: 1010₂ + 0101₂
1. Decimal equivalent: 10 + 5 = 15
2. Convert 15 to binary: 1111₂
Final Calculated Result: 1111₂ (Decimal 15)
What Does Your Result Mean?
Demonstrates computer arithmetic executed in central processing units (ALUs).
Common Practical Applications:
- Computer science education
- Network subnet masking
- Digital logic design
Important Limitations & Assumptions:
- Inputs must strictly consist of digits 0 and 1.
Frequently Asked Questions
How do you add 1 and 1 in binary?
In binary, 1 + 1 equals 10 (which is 0 with a carry of 1 to the next left column).
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