Master binary arithmetic operations with interactive visual tools and step-by-step learning
Binary arithmetic is the foundation of all computer operations. Learn how computers perform mathematical calculations using only 0s and 1s.
Rules:
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10 (carry 1)
Rules:
0 - 0 = 0
1 - 0 = 1
1 - 1 = 0
0 - 1 = 1 (borrow 1)
Rules:
0 × 0 = 0
0 × 1 = 0
1 × 0 = 0
1 × 1 = 1
Method:
Similar to long division
Uses subtraction and shifting
Quotient and remainder
| operation | Example | Result |
|---|---|---|
| Addition | 1011 + 0110 | 10001 |
| Subtraction | 1011 - 0110 | 0101 |
| Multiplication | 1011 × 0110 | 1000010 |
| Division | 1011 ÷ 0110 | 1 R 101 |
| Binary | Decimal |
|---|
Enter binary numbers and select operation:
Understand the numbers you're working with:
See how binary arithmetic works bit by bit:
Learn the detailed process of binary arithmetic operations:
Test your skills with timed challenges:
Streak: 0
Correct: 0
Wrong: 0
Work with signed binary numbers:
Perform logical operations on binary numbers:
Perform left and right bit shifts:
Convert between different number systems: