IEEE-754 Float Converter/Calculator v2
Built by Mason Hieb

Unlike many others online, this converter does not use any built-in programming language functions to produce its answer. Behind the scenes it recreates the pencil-and-paper method.
Fixed and updated on February 15, 2024
Additional thanks to Waltibaba for bug reporting!




Number in Decimal:
True Decimal Value:529.7799682617188
Exponent Length:8
Mantissa Length:23
Bias:127
Whole Part (Decimal):529
Whole Part (Binary):1000010001
Fractional Part (Decimal):78
Fractional Part (Binary):11000111101011100001010
Scientific Notation Form:1.00001000111000111101011×29
Sign Bit:0
Exponent:10001000
Mantissa:00001000111000111101011
Number as Big Endian Single Precision Float: 0x440471EB
Number as Big Endian Single Precision Float (C array form): {0x44, 0x04, 0x71, 0xEB}
Fractional Part Calculation
0.780×2=1.5601
0.560×2=1.1201
0.120×2=0.2400
0.240×2=0.4800
0.480×2=0.9600
0.960×2=1.9201
0.920×2=1.8401
0.840×2=1.6801
0.680×2=1.3601
0.360×2=0.7200
0.720×2=1.4401
0.440×2=0.8800
0.880×2=1.7601
0.760×2=1.5201
0.520×2=1.0401
0.040×2=0.0800
0.080×2=0.1600
0.160×2=0.3200
0.320×2=0.6400
0.640×2=1.2801
0.280×2=0.5600
0.560×2=1.1201
0.120×2=0.2400