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Convert numeric data models dynamically. Type in binary, octal, decimal, hexadecimal, ASCII text, or adjust custom bases, and see instant updates.
Divide the decimal number by 16. The remainder becomes the least significant hex digit. Keep dividing the quotient by 16 until the quotient is 0. Hex digits use letters for values 10-15 (A=10, B=11, C=12, D=13, E=14, F=15).
Decimal: 42 ⇒ Hex: 2A
Divide the decimal number by 2. The remainder (0 or 1) represents the binary bit. Write down the remainders in reverse order (bottom to top) to find the final binary equivalent.
Decimal: 42 ⇒ Binary: 101010
Convert numbers instantly between Binary (Base 2), Octal (Base 8), Decimal (Base 10), Hexadecimal (Base 16), and custom bases. Includes steps explanation.
Computers natively understand only Binary (Base 2) signals (on/off, 1/0). Octal (Base 8) and Hexadecimal (Base 16) are mathematical shorthands used by programmers to write compact, readable codes that match binary alignment cleanly (since 8 and 16 are powers of 2).
Each keyboard character is represented by a unique number under standard ASCII parameters. For instance, the character "A" corresponds to decimal 65 (hex 41, binary 01000001). This tool maps the character input instantly to showcase the lower-level representations.