Binary ⇄ Decimal
Only 0s and 1s allowed!
Instantly convert between digital bits and standard numbers.
How it works (The Math):
Binary is based on powers of $2$. To convert 1011 to decimal:
- $(1 \times 2^3) = 8$
- $(0 \times 2^2) = 0$
- $(1 \times 2^1) = 2$
- $(1 \times 2^0) = 1$
- Total: $8 + 0 + 2 + 1 = 11$
FAQ:
- Why is this used in fashion? High-tech garment production often uses binary “logic gates” to control knitting or weaving machines.
- What is a Bit? A single binary digit ($0$ or $1$) is a “bit.” Eight bits make one Byte.
- Can I convert large numbers? Yes, this tool uses standard 64-bit integer processing, allowing for very long binary strings.
Practical Fashion Use
- Digital Patterning: When using computerized jacquard looms, patterns are sometimes represented as binary data where $1$ represents a raised thread and $0$ represents a lowered thread.
- Smart Wearables: If you are developing a “Smart Jacket” with LED lights, the brightness levels are often sent from the controller as binary values.
- RFID Encoding: Many high-end luxury brands use RFID tags to prevent counterfeiting. Converting the unique decimal serial number to binary is a key step in programming these security chips.