Converter to 32 Bit Single Precision IEEE 754 Binary Floating Point Standard System: Converting and Writing Base 10 Decimal Numbers as Binary Code. All the Steps Are Explained in Detail

Convert to 32 bit single precision IEEE 754 binary floating point representation standard

A number in 64 bit double precision IEEE 754 binary floating point standard representation requires three building elements: sign (it takes 1 bit and it's either 0 for positive or 1 for negative numbers), exponent (11 bits), mantissa (52 bits)

The latest decimal numbers converted from base ten to 32 bit single precision IEEE 754 floating point binary standard representation

Number 2 346 722 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 100 000.017 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 25 115 836 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number -4 000 000 041 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 2.125 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 1.137 578 375 6 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 103.36 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 98.46 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 10 111 101 009 999 999 999 999 999 999 951 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
Number 16.568 7 converted from decimal system (written in base ten) to 32 bit single precision IEEE 754 binary floating point representation standard Sep 28 00:40 UTC (GMT)
All base ten decimal numbers converted to 32 bit single precision IEEE 754 binary floating point

How to convert decimal numbers from base ten to 32 bit single precision IEEE 754 binary floating point standard

Follow the steps below to convert a base 10 decimal number to 32 bit single precision IEEE 754 binary floating point:

Example: convert the negative number -25.347 from decimal system (base ten) to 32 bit single precision IEEE 754 binary floating point:

Available Base Conversions Between Decimal and Binary Systems

Conversions Between Decimal System Numbers (Written in Base Ten) and Binary System Numbers (Base Two and Computer Representation):


1. Integer -> Binary

2. Decimal -> Binary

3. Binary -> Integer

4. Binary -> Decimal