Core Conversion Engine Live.

Binary Converter — Hex, Decimal, Octal & ASCII.

An interactive universal bit converter and base conversion matrix to convert binary, decimal, octal, hexadecimal, and ASCII character encoding strings instantly. Calculates bit positional weights, double precision floats, and signed two's complement integers with step-by-step mathematical explanations.

Open Converter Matrix View Cheat Sheets Take Quizzes
Number Converter

Multi-Base Conversion Dashboard

Type in any input to instantly convert across bases, signed binary, floats, and ASCII text.

Multi-Base Conversion Dashboard

Type in any input to instantly convert across bases, signed binary, floats, and ASCII text.

Instant Test Pills:
Mathematical Breakdown Step-by-Step
Enter a value above to view conversion steps.

Universal Bit Converter & Number Translation Matrix

Universal lookup table mapping binary, hexadecimal, decimal, octal, and ASCII character definitions.

Binary (Base 2) Hexadecimal (Base 16) Decimal (Base 10) Octal (Base 8) ASCII / Meaning
0000 0000 0x00 0 0 NUL (Null byte)
0000 1101 0x0D 13 15 CR (Carriage Return)
0010 0000 0x20 32 40 SP (Space character)
0100 0001 0x41 65 101 'A' (Uppercase letter)
1111 1111 0xFF 255 377 Max 8-bit unsigned byte
Multipage Silos

Base Conversion Guides.

Dedicated calculation pages featuring custom prefill triggers, mathematical details, and code routines.

01

Binary (Base 2)

10

Decimal (Base 10)

16

Hexadecimal (Base 16)

08

Octal (Base 8)

Aa

ASCII / String

Interactive Lookup

ASCII Reference.

Find matching character strings, decimals, hexadecimal codes, and binary values instantly. Use search to filter.

Dec Hex Binary Char Description
Common Questions

Frequently Asked Questions.

Frequently asked questions about number systems, conversion formulas, and site operations.

What is a binary number system?

▼
The binary number system is a base-2 numeral system that represents numerical values using only two digits: 0 and 1. Each digit is referred to as a bit, forming the physical architecture of modern computing devices.

How do you convert numbers between bases?

▼
To convert to decimal, multiply each digit by its positional base power and sum all terms. To convert from decimal to any base, use the repeated division method by dividing by the destination base and recording remainders from bottom to top.

What is Two's Complement signed binary?

▼
Two's Complement is a mathematical convention to represent signed negative integers in binary. To convert a negative decimal to binary, find the binary for the absolute value, invert all bits, and add 1.

What is a universal bit converter?

▼
A universal bit converter translates numerical strings across base-2 (binary), base-8 (octal), base-10 (decimal), and base-16 (hexadecimal), while supporting ASCII text and signed two's complement arithmetic.

How do you convert hex to binary?

▼
To convert hex to binary, replace each hexadecimal digit with its 4-bit binary equivalent (0=0000 through F=1111). Concatenate all 4-bit groups in order. For example, 0x2A = 0010 1010.

How do you convert octal to binary?

▼
To convert octal to binary, replace each octal digit with its 3-bit binary equivalent (0=000 through 7=111). For example, octal 753 = 111 101 011.