🔢 Number Systems Conversion Table
Convert between binary, octal, decimal, and hexadecimal number systems with precision and ease. Essential tool for programmers and computer science students.
Binary & Hex Challenge
Test your skills in converting between different number systems!
🤯 Mind-Blowing Comparisons
Binary
Computers use binary (0s and 1s) because transistors have two states: on and off.
Hex Colors
Web colors use Hex! #FF0000 is Red, #00FF00 is Green, #0000FF is Blue.
Octal
Octal was widely used in early computing systems like the PDP-8.
Decimal
We use decimal because we have 10 fingers!
| Number System | Base | Symbol | Converted Value |
|---|---|---|---|
| Binary | 2 | bin | 11111111 |
| Octal | 8 | oct | 377 |
| Decimal | 10 | dec | 255 |
| Hexadecimal | 16 | hex | FF |
Key Features
Precise Conversion
Accurate mathematical conversion between all major number systems used in programming and computer science.
Real-time Results
Instant conversion as you type, with immediate visual feedback for all supported number systems.
Programming Focus
Designed specifically for developers, students, and professionals working with different number bases.
How to Use This Conversion Table
Step-by-step guide
- 1Enter your number in the input field above the table.
- 2Select the base of your input number (2, 8, 10, or 16) from the dropdown.
- 3View instant conversions to all other number systems in the table below.
- 4Use the search function to filter specific number systems if needed.
Pro Tips
- •For hexadecimal input, use letters A-F for digits 10-15
- •Binary numbers only use digits 0 and 1
- •Octal numbers use digits 0-7 only
Common Number System Conversions
Decimal 255 (8-bit max)
Decimal 1024 (1 KB)
Decimal 65535 (16-bit max)
Use Cases
💻Programming
Convert between decimal, binary, and hexadecimal for programming tasks. Variable and memory address representation, bitwise operations and flags, color codes and graphics programming.
- •Bitwise operations, flags, and masks
- •Memory addresses and low-level debugging
- •Color codes and graphics programming
🎓Computer Science Education
Understand different number representations in computing. Learning fundamental computer concepts, understanding data representation, digital logic and circuit design.
- •Data representation and signed vs unsigned values
- •Digital logic, circuit design, and truth tables
- •Teaching students base-2/base-16 thinking
Frequently Asked Questions
What is the difference between binary and decimal?
Binary uses base-2 (0,1) while decimal uses base-10 (0-9). Binary is fundamental to computer systems.
Why is hexadecimal used in programming?
Hexadecimal provides a compact way to represent binary data, making it easier to read and write.
How do I convert from decimal to binary?
Divide the decimal number by 2 repeatedly and read the remainders from bottom to top.