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Number Base Converter

Convert numbers between binary, octal, decimal, and hexadecimal.

• Binary: Uses 0 and 1 only (computer basic unit)

• Octal: Uses 0-7 (Unix permissions, etc.)

• Decimal: Uses 0-9 (standard numbers)

• Hexadecimal: Uses 0-9, A-F (color codes, memory addresses, etc.)

🔢 What is Base Converter?

Base Converter is an essential programming tool that converts between binary, octal, decimal, and hexadecimal number systems. Computers process all data as 0s and 1s (binary), but we use different bases for human readability. See conversion results in real-time as you type, enabling quick and accurate conversions. Results include 0b, 0o, 0x prefixes ready for direct use in programming languages.

📊 Base System Overview

BaseDigitsPrefixCommon Uses
Binary0, 10bBit operations, flags
Octal0-70oUnix file permissions
Decimal0-9noneEveryday numbers
Hexadecimal0-9, A-F0xColor codes, memory

💡 Conversion Tips

  • Hex to Binary: Each digit becomes 4 bits (F → 1111)
  • Octal to Binary: Each digit becomes 3 bits (7 → 111)
  • Color codes: #FF5733 means R=255, G=87, B=51 (decimal)
  • Permission 755: 111-101-101 (owner rwx, group/others rx)

Frequently Asked Questions

What do A-F mean in hexadecimal?

Hexadecimal uses A-F for values 10-15 after 0-9. A=10, B=11, C=12, D=13, E=14, F=15.

How are negative numbers converted?

This tool supports positive integers only. Computers represent negatives using two's complement, which varies by bit width.

Why use 0b, 0o, 0x prefixes?

These prefixes identify the base in programming languages. 0b means binary, 0o means octal, 0x means hexadecimal.

What is Number Base Converter?

Convert numbers between different bases: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Essential for programming and computer science.

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