IEEE 754 Floating Point Converter

IEEE 754 Floating Point Converter

Explore how computers represent decimal numbers in binary with this interactive IEEE 754 converter. Enter any decimal number and instantly see its binary representation broken down into sign, exponent, and mantissa components.

How to Use

1. Enter a decimal number in the input field (e.g., 3.14, -0.1, 255).

2. Select the precision: Half (16-bit), Single (32-bit), or Double (64-bit).

3. View the complete bit breakdown showing sign bit, exponent, and mantissa.

4. See the hex representation, biased/unbiased exponent, and reconstruction formula.

5. You can also input binary or hex values to convert back to decimal.

Features

• Three Precisions – Half (16-bit), Single (32-bit), and Double (64-bit) IEEE 754 formats
• Visual Bit Breakdown – Color-coded sign, exponent, and mantissa fields
• Hex Representation – See the hexadecimal encoding alongside binary
• Exponent Details – View both biased and unbiased exponent values
• Special Values – Correctly handles ±Infinity, NaN, ±0, and subnormal numbers
• Formula Display – Shows the mathematical reconstruction: (-1)^sign × 2^(exp-bias) × 1.mantissa
• Real-Time – Conversion updates instantly as you type