What is IEEE 754?

IEEE 754 is a standard for representing floating-point numbers in computers. It helps manage how decimal numbers are stored and manipulated in binary format. This tool allows you to convert decimal numbers into their IEEE 754 binary representation and vice versa.

Example Conversions

Try entering the following decimal numbers:

• 10.5: Should convert to 01000001001010000000000000000000 (Single Precision)
• -3.14: Should convert to 11000000010010010000111111011011 (Single Precision)

How to Use This Tool

1. Enter a decimal number in the input field.
2. Select the precision (Single or Double) from the dropdown menu.
3. Click the "Convert" button to see the IEEE 754 representation.
4. The conversion results will display below, including a breakdown of the sign, exponent, and mantissa.

Frequently Asked Questions

What is the difference between Single and Double Precision?

Single precision uses 32 bits, while double precision uses 64 bits, allowing for greater range and precision in representing numbers.

What happens if I enter a very large number?

Very large or very small numbers may not be accurately represented in floating-point format, resulting in potential loss of precision.