IEEE 754 Single Precision Calculator

IEEE 754 Single Precision Calculator calculator can be used to convert a number into its IEEE 754 single-precision binary representation.

Input Parameters

Calculation Results

IEEE 754 Single Precision Binary Representation

Please enter a number and click Calculate

Where:
- Sign bit (1 bit): 0 for positive, 1 for negative
- Exponent (8 bits): Stored as biased-127 format
- Mantissa (23 bits): Fractional part of the number

IEEE 754 Single Precision Calculator Calculator Usage Guide

Learn how to use the IEEE 754 Single Precision Calculator calculator and its working principles

How to Use

  1. Enter a number in the input field.
  2. Click the "Calculate" button to see its IEEE 754 single-precision binary representation.
  3. The binary representation will be displayed in the result area.

Working Principle

The IEEE 754 standard is a widely used floating-point representation for floating-point arithmetic in computers. Single-precision floating-point numbers use 32 bits:

  • Sign bit (1 bit): 0 for positive numbers and 1 for negative numbers.
  • Exponent (8 bits): Stored using a biased-127 format, which means the actual exponent is the stored value minus 127.
  • Mantissa (23 bits): Represents the fractional part of the number, with an implicit leading 1 for normalized numbers.

For example, the number 3.14 in IEEE 754 single-precision format is represented as follows:

                    Sign: 0 (positive)
                    Exponent: 01111101 (126 in decimal, which is 2^7 - 127)
                    Mantissa: 10010010011001100110011

This results in the binary string: 01011111001001001000110011001100