Data types | Floating point types | Computer arithmetic

Decimal32 floating-point format

In computing, decimal32 is a decimal floating-point computer numbering format that occupies 4 bytes (32 bits) in computer memory.It is intended for applications where it is necessary to emulate decimal rounding exactly, such as financial and tax computations. Like the binary16 format, it is intended for memory saving storage. Decimal32 supports 7 decimal digits of significand and an exponent range of −95 to +96, i.e. ±0.000000×10−95 to ±9.999999×1096. (Equivalently, ±0000001×10−101 to ±9999999×1090.) Because the significand is not normalized (there is no implicit leading "1"), most values with less than 7 significant digits have multiple possible representations; 1 × 102=0.1 × 103=0.01 × 104, etc. Zero has 192 possible representations (384 when both signed zeros are included). Decimal32 floating point is a relatively new decimal floating-point format, formally introduced in the 2008 version of IEEE 754 as well as with ISO/IEC/IEEE 60559:2011. (Wikipedia).

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How to use decimal points

👉 Learn all about decimals. Decimals are numbers written with a decimal point. Digits can be written to the right or to the left of the decimal point. Digits are written to the left of the decimal point increase in value by multiples of 10 while digits written to the right decrease by mul

From playlist Decimals | Learn About

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Binary 4 – Floating Point Binary Fractions 1

This is the fourth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers the representation of real numbers using floating point binary notation. It begins with a description of standard

From playlist Binary

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This is the fifth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video elaborates on the representation of real numbers using floating point binary notation. It explains how the relative allo

From playlist Binary

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Decimal Notation: Writing Decimals in Words

This video explains how to write numbers in decimal notation in words. http://mathispower4u.com

From playlist Introduction to Decimals

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This video explains how to say numbers written in decimal notation using place value. Decimals are also writing in fraction form. http://mathispower4u.com

From playlist Introduction to Decimals

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It turns out, I have a favorite number over 1 million! Let me show you why 1094795585 is special to me and to many hackers. Binary Exploitation Course Playlist: https://www.youtube.com/playlist?list=PLhixgUqwRTjxglIswKp9mpkfPNfHkzyeN exploit.education: https://exploit.education/protostar/

From playlist MegaFavNumbers

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Examples: Write a Number in Decimal Notation from Words

This video provides examples of writing the decimal notation of a number given in words. Complete video list: http://www.mathispower4u.com

From playlist Introduction to Decimals

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From playlist Math Basics

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This is a short video tutorial on dividing a whole number by a decimal. For interactive applets, worksheets, and more videos go to http://fearlessmath.net ▶︎ ▶︎ ▶︎ FOLLOW ME ON TWITTER ◀︎ ◀︎ ◀︎ http://twitter.com/dhabecker ▶︎ ▶︎ ▶︎ All About Decimals playlist ◀︎ ◀︎ ◀︎ https://youtube.com/

From playlist All about decimals

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This is the third in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the representation of real numbers in binary using a fixed size, fixed point, register. It explains with examples how to convert both po

From playlist Binary

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This computer science video describes the IEEE 754 standard for floating point binary. The layouts of single precision, double precision and quadruple precision floating point binary numbers are described, including the sign bit, the biased exponent and the mantissa. Examples of how to con

From playlist Binary

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Vlog #002: asm, printf and a simple bug

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From playlist Gynvael's Vlog

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From playlist Advanced Java Programming Tutorials [2022 Updated]

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Floating Point Representation

Floating Point Representation

From playlist Scientific Computing

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Python Programming Tutorial - 49 - struct

Source Code: https://github.com/thenewboston-developers Core Deployment Guide (AWS): https://docs.google.com/document/d/16NDHWtmwmsnrACytRXp2T9Jg7R5FgzRmkYoDteFKxyc/edit?usp=sharing

From playlist Python 3.4 Programming Tutorials

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From playlist Excalibur

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LESSON 12: Simple and Easy Way to Read Strings Floats and Ints over Arduino Serial Port

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From playlist Arduino Lessons

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Words to Small Decimals and ID Place Value

The video explains how to write small decimal from works and then identify digits in place values. http://mathispower4u.com

From playlist Introduction to Decimals

Related pages

IEEE 754 | Signed zero | Half-precision floating-point format | Significand | Binary integer decimal | IEEE 754-2008 | Densely packed decimal | Bit numbering