Binary to Decimal, Hexadecimal and ASCII Converter
A comprehensive converter tool that transforms between binary, decimal, hexadecimal, and ASCII representations. Convert binary numbers (1-8 bits), decimal numbers, and hexadecimal numbers with real-time conversion to all formats and their ASCII character equivalents.
Conversion Reference Guide
Binary to Decimal
Binary is a base-2 numeral system using only digits 0 and 1. Each bit position represents a power of 2.
Example: 10100100
- = 1×2⁷ + 0×2⁶ + 1×2⁵ + 0×2⁴ + 0×2³ + 1×2² + 0×2¹ + 0×2⁰
- = 128 + 0 + 32 + 0 + 0 + 4 + 0 + 0
- = 164
Decimal to Binary
Decimal is a base-10 numeral system. Divide repeatedly by 2 and read remainders from bottom to top.
Hexadecimal Conversions
Hexadecimal (base-16) uses digits 0-9 and letters A-F (representing 10-15).
Example: A4 (hex)
- = A×16¹ + 4×16⁰
- = 10×16 + 4×1
- = 160 + 4
- = 164
ASCII Representation
8-bit binary values can represent ASCII characters. For example:
- Binary 01000001 = Decimal 65 = ASCII 'A'
- Binary 10100100 = Decimal 164 = Extended ASCII '¤'