🔢 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.

Number SystemBaseSymbolConverted Value
Binary2bin11111111
Octal8oct377
Decimal10dec255
Hexadecimal16hexFF

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

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  1. 1Enter your number in the input field above the table.
  2. 2Select the base of your input number (2, 8, 10, or 16) from the dropdown.
  3. 3View instant conversions to all other number systems in the table below.
  4. 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)

Binary:11111111
Octal:377
Hexadecimal:FF

Decimal 1024 (1 KB)

Binary:10000000000
Octal:2000
Hexadecimal:400

Decimal 65535 (16-bit max)

Binary:1111111111111111
Octal:177777
Hexadecimal:FFFF

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

🎓Computer Science Education

Understand different number representations in computing

  • Learning fundamental computer concepts
  • Understanding data representation
  • Digital logic and circuit design

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.