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Binary Translator

The Binary Translator converts binary numbers to decimal, hexadecimal, and text — and back again. Enter any binary string (like 01001000 01101001) and instantly see the decimal value, hex equivalent, and ASCII text it represents. Essential for computer science students, embedded systems developers, and anyone working with low-level binary data.

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About the Binary Translator

The Binary Translator converts binary numbers to decimal, hexadecimal, and text — and back again. Enter any binary string (like 01001000 01101001) and instantly see the decimal value, hex equivalent, and ASCII text it represents. Essential for computer science students, embedded systems developers, and anyone working with low-level binary data.

How to use it

  1. Enter binary digits (0s and 1s) in the input field.
  2. Select conversion mode: to decimal, hex, or text.
  3. View the converted output instantly.
  4. Or enter decimal, hex, or text to convert to binary.

Formula & methodology

Binary to decimal: sum each bit position * 2^position from right. Example: 1011 = 1*8 + 0*4 + 1*2 + 1*1 = 11. Binary to hex: group 4 bits, each group = one hex digit (0000=0 ... 1111=F). Binary to text: group 8 bits = one byte, convert each byte to ASCII/Unicode. Decimal to binary: divide repeatedly by 2, remainders in reverse order.

Common use cases

  • Computer science education: learning binary number representation
  • Embedded systems: interpreting hardware register bit fields
  • Network protocols: reading binary packet fields and flags
  • Debugging: converting binary data streams to readable formats
  • Digital electronics: understanding binary logic and gates

Frequently asked questions

Group the binary digits into sets of 8 (one byte per character). Convert each 8-bit group to a decimal number. Look up that decimal in the ASCII table: 01001000 = 72 = "H", 01101001 = 105 = "i". So 01001000 01101001 = "Hi". This is how computers fundamentally store text — as binary numbers that map to characters via encoding tables.
11111111 in binary = 255 in decimal (2^8 - 1). For signed 8-bit integers (two's complement), the range is -128 to 127. 16 bits: 0 to 65,535 unsigned. 32 bits: 0 to ~4.3 billion unsigned. 64 bits: 0 to ~18.4 quintillion unsigned. Each additional bit doubles the maximum representable value. This is why bit width matters in programming — integer overflow occurs when a value exceeds the bit width maximum.

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