IEEE 754 Floating Point Converter

Convert decimal numbers to IEEE 754 floating-point binary representation. Understand how computers store decimal numbers. Part of our Binary Converter toolset.

Examples:

Understanding IEEE 754 Format

The IEEE 754 standard defines how floating-point numbers are stored in computers. Our IEEE 754 Converter breaks down any decimal number into its binary components.

Single Precision (32-bit)

  • 1 bit for sign (0 = positive, 1 = negative)
  • 8 bits for exponent (biased by 127)
  • 23 bits for mantissa (fractional part)

Double Precision (64-bit)

  • 1 bit for sign
  • 11 bits for exponent (biased by 1023)
  • 52 bits for mantissa
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