// Free Online Tool

Binary Converter

Convert between binary, decimal, hexadecimal and octal number systems instantly. Enter any number, select its base, see all four conversions at once.

Result will appear here.

// Overview

ABOUT BINARY CONVERSION

Binary conversion translates numbers between different numeral systems — binary (base 2), decimal (base 10), octal (base 8), and hexadecimal (base 16). These systems are fundamental to computer science, digital electronics, networking, and programming.

Computers use binary internally — all data is sequences of 0s and 1s. Hexadecimal is human-readable shorthand for binary (each hex digit represents exactly 4 binary bits). Octal appears in Unix/Linux file permissions (chmod 755).

Our converter shows all four bases simultaneously from one input — no step-by-step manual conversion needed. Enter any number in any base and instantly see the equivalent in all other bases.

// Reference

NUMBER SYSTEM REFERENCE

  • Binary (Base 2): digits 0 and 1 only
  • Octal (Base 8): digits 0-7
  • Decimal (Base 10): standard everyday system (0-9)
  • Hexadecimal (Base 16): 0-9 plus A-F (A=10, B=11, C=12, D=13, E=14, F=15)

// Use Cases

USE CASES

  • CS students solving base conversion problems
  • Programmers working with bitwise operations and flags
  • Network engineers working with IP addresses and subnet masks
  • Digital electronics students converting binary and hex values
  • Unix/Linux users understanding octal file permissions

// FAQ

FREQUENTLY ASKED QUESTIONS

How do I convert binary 1010 to decimal?
1x8 + 0x4 + 1x2 + 0x1 = 10. Our tool does this automatically.
What is 255 in binary?
11111111. In hex: FF. In octal: 377.
What does chmod 755 mean?
7=111 binary (rwx for owner), 5=101 binary (r-x for group), 5=101 binary (r-x for others).
What is FF in decimal?
F=15 in hex. FF = 15x16 + 15 = 255.

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