0 and 1 Binary Calculator
0 and 1 Binary Calculator
Fast binary calculator for 0 and 1 based math operations.
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0 and 1 Binary Calculator: Instant Base-2 Math
Perform addition, subtraction, multiplication, and division in binary (base-2) — using only 0s and 1s. Perfect for computer science, digital logic, programming, or learning how computers think.
Example: 101 + 11 = 1000 | 110 × 10 = 1100 | 111 ÷ 10 = 11.1.
Binary Arithmetic Rules
Addition
0+0=0 | 0+1=1 | 1+0=1 | 1+1=10 (carry 1)
Subtraction
Borrow like decimal: 10 - 1 = 1
101 - 011 = 010
Multiplication
0×anything=0 | 1×anything=itself
Shift & add
Division
Long division with 0s and 1s
111 ÷ 10 = 11.1
Example: 101 + 11 = ?
| Step | Carry | Bits | Result |
|---|---|---|---|
| 1 | 1 + 1 | 0 (carry 1) | |
| 2 | 1 | 0 + 1 + 1 | 0 (carry 1) |
| 3 | 1 | 1 + 0 + 1 | 0 (carry 1) |
| 4 | 1 | 0 + 0 + 1 | 1 |
| Final | 1000 (8 in decimal) | ||
Where Binary Math Is Used
Computer Processors
All CPU operations are binary
Programming
Bitwise ops: AND, OR, XOR
Networking
IP addresses, subnet masks
Education
CS101, digital electronics
Pro Binary Tips
Quick Tricks
- Count 1s → decimal value (2ⁿ)
- 111 = 7, 1111 = 15
- Pad with 0s to align bits
Avoid Errors
- Never use 2–9 in binary!
- Carry only when 1+1
- Check bit alignment
Why Trust This Calculator?
Accuracy: Uses IEEE 754 & Boolean logic standards — same as hardware chips and compilers.
Privacy: No data stored. Results vanish instantly.
Speed: JS-powered, works offline (PWA-ready).
Frequently Asked Questions
1101 = 1+4+8 = 13