floating point converter

This page allows you to convert between the decimal representation of a number (like "1.02") and the binary format used by all modern CPUs (a.k.a. "IEEE 754 floating point").

Numeral-systems

numeral-systems.com › ieee-754-converter

IEEE-754 floating point numbers converter

This calculator can be used to convert decimal numbers to a binary floating point number in IEEE-754 format or vice versa.

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14.1(c) Converting 22.125 Decimal to 32-bit IEEE 754 Floating Point ...

March 31, 2023

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14.1(d) Converting -45.4 Decimal to 32-bit IEEE 754 Floating Point ...

14.1(f) Converting 32-bit IEEE 754 Floating Point into Decimal ...

March 31, 2023

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People also ask

How do I convert a number to floating-point?

To convert a decimal number to a floating-point representation, follow these steps:

Convert the entire number to binary and then normalize it, i.e. write it in scientific notation using base 2.
Truncate the fraction after the decimal point to the allowable fraction length.
Extract the sign, exponent, and fraction segments.

Refer to the IEEE754 standard for more detailed instructions.

omnicalculator.com

omnicalculator.com › other › floating-point

Floating-Point Calculator

Why do we use floating-point numbers?

The IEEE754 floating-point format standard enables efficient storage and processing of numbers in computers.

From a hardware perspective, many simplifications of floating-point operations can be made to significantly speed up arithmetic, thanks to the IEEE754 standard's specifications.
For software, floats are very precise and typically lose a few millionths (if not less) per operation, which enables high-precision scientific and engineering applications.

omnicalculator.com

omnicalculator.com › other › floating-point

Floating-Point Calculator

What is an IEEE754 floating-point number?

In computing, a floating-point number is a data format used to store fractional numbers in a digital machine. A floating-point number is represented by a series of bits (1s and 0s). Computers perform mathematical operations on these bits directly instead of how a human would do the math. When a human wants to read the floating-point number, a complex formula reconstructs the bits into the decimal system.

omnicalculator.com

omnicalculator.com › other › floating-point

Floating-Point Calculator

Observable

observablehq.com › @benaubin › floating-point

Floating Point Calculator / Ben Aubin | Observable

April 28, 2023 - Calculate IEEE-754 style floating point numbers with arbitrary precision (`p`) and range (`q`). Enter as decimal aproximation, hex, or click to modify the binary digits Deconstructed Representation bias/min/max implementation details

Wheel of Fortune Solver

gregstoll.com › ~gregstoll › floattohex

Floating Point to Hex Converter

Just a handy way to convert and visualize floating-point numbers!

Evanau

flop.evanau.dev

IEEE 754-Style Floating-Point Converter

Floating-point converter for FP32, FP64, FP16, bfloat16, TensorFloat-32 and arbitrary IEEE 754-style floating-point types.

Evanw

evanw.github.io › float-toy

Float Toy

Click on a cell below to toggle bit values, or edit the hex or decimal values directly. Use this to build intuition for the IEEE floating-point format.

Binary Convert

binaryconvert.com › convert_float.html

Float (IEEE754 Single precision 32-bit) Converter

Online binary converter. Supports all types of variables, including single and double precision IEEE754 numbers

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Baseconvert

baseconvert.com › ieee-754-floating-point

IEEE 754 Floating Point Converter - Base Convert

Online number base converter for binary, hexadecimal, octal, decimal, roman numerals, balanced ternary, negabinary, factorial, bijective, and any radix. Supports high precision and fractional values.

Exploring Binary

exploringbinary.com › home › decimal to floating-point converter

Decimal to Floating-Point Converter - Exploring Binary

June 1, 2018 - A decimal to IEEE 754 binary floating-point converter, which produces correctly rounded single-precision and double-precision conversions.

Omni Calculator

omnicalculator.com › other › floating-point

Floating-Point Calculator

August 7, 2025 - The floating-point calculator is here to help you understand the IEEE754 standard for the floating-point format. It acts as a converter for floating-point numbers — it converts 32-bit floats and 64-bit floats from binary representations to ...

Weitz

weitz.de › ieee

IEEE 754 Calculator

This is a little calculator intended to help you understand the IEEE 754 standard for floating-point computation. It is implemented in JavaScript (using the amazing VanillaJS framework) and should work with recent desktop versions of Firefox and Chrome. I haven't tested with other browsers.

Christophervickery

christophervickery.com › IEEE-754 › IEEE-754.old › 32bit.html

IEEE-754 Floating-Point Conversion from 32-bit Hexadecimal to Floating-Point

From 32-bit Hexadecimal Representation To Decimal Floating-Point Along with the Equivalent 64-bit Hexadecimal and Binary Patterns · [ Convert IEEE-754 64-bit Hexadecimal Representations to Decimal Floating-Point Numbers. ] [ Convert Decimal Floating-Point Numbers to IEEE-754 Hexadecimal Representations.

Stanford University

web.stanford.edu › class › cs107 › float

CS107 Floating point converter

Floating point converter · This web page converts between binary and decimal numbers. For example, it will convert a binary number in the form of yyy.xxxxxxxxxxxxxxxxxxxxxxx to its decimal equivalent. E.g.: 1.011b = 1 x 20 + 0 x 2-1 + 1 x 2-2 + 1 x 2-3 = 1.375d ·

Stack Overflow

stackoverflow.com › questions › 61066421 › convert-integer-to-ieee-floating-point

c - Convert integer to IEEE floating point? - Stack Overflow

Top answer

1 of 1

This is how the number 12345 is represented as a 32-bit single-precision IEEE754 float:

                  3  2          1         0
                  1 09876543 21098765432109876543210
                  S ---E8--- ----------F23----------
          Binary: 0 10001100 10000001110010000000000
             Hex: 4640 E400
       Precision: SP
            Sign: Positive
        Exponent: 13 (Stored: 140, Bias: 127)
       Hex-float: +0x1.81c8p13
           Value: +12345.0 (NORMAL)

Since this is a NORMAL value, the fractional part is interpreted with an implicit 1-bit; that is it's 1.10000001110010000000000. So, to fill the 23 bit mantissa you simply add 10 0's at the end as it doesn't change the value.

Endianness isn't really related to how these numbers are represented, as each bit has a fixed meaning. But in general, the most-significant-bit is to the left in both the exponent and the mantissa.

MathWorks

mathworks.com › matlabcentral › fileexchange › 39113-floating-point-number-conversion

Floating Point Number Conversion - File Exchange - MATLAB Central

November 20, 2012 - Converts floating point numbers between decimal and IEEE 754 binary representation

Edgar-seemann

edgar-seemann.de › converters › ieee754.html

Floating Point Converter and Calculator

32-Bit IEEE 754 Floating Point Converter and Calculator

MDN Web Docs

developer.mozilla.org › en-US › docs › Web › JavaScript › Reference › Global_Objects › Number

Number - JavaScript | MDN

Number values represent floating-point numbers like 37 or -9.25. The Number constructor contains constants and methods for working with numbers. Values of other types can be converted to numbers using the Number() function.

Google Play

play.google.com › store › apps › details

Floating Point Converter - Apps on Google Play

This little app helps dealing with IEEE-754 floating point numbers.

Rating: 4.5 - 59 votes

Zipcores

zipcores.com › floating-point-to-fixed-point-converter.html

Floating-point to Fixed-point Converter

Converts 32-bit floating-point numbers to fixed-point representation. The fixed-point output has a configurable word and fraction width. Floating-point inputs are based on the IEEE 754 standard.

Cornell University

cs.cornell.edu › ~tomf › notes › cps104 › floating

Floating Point

This document explains the IEEE 754 floating-point standard. It explains the binary representation of these numbers, how to convert to decimal from floating point, how to convert from floating point to decimal, discusses special cases in floating point, and finally ends with some C code to ...