Binary Storage of Floats into Memory - IEEE 754 binary32
Ganesh H
This is a guide showing how to convert and store decimal floats into binary using the IEEE 754 method. Then, we'll look at how to convert the retrieved binary back into decimal.
Written Guide and Source Code : https://www.notion.so/ganeshh123/IEEE-754-Float-Storage-Binary32-8f175f52eb42412d9b570fc1de09fab2
Full Playlist: https://www.youtube.com/playlist?list=PLhGp6N0DI_1T8gZZPWoih3ww_mZ8uXcwK Binary Arithmetic Written Guides : https://www.notion.so/ganeshh123/643d9485b70a4cc1b823b849dc98ca52 All My Tutorials can be found at : https://www.notion.so/Tutorials-Ganesh-H-293ea420d34a464f9a1907e0405b5f26
00:00 - Introduction 00:13 - The number we will store and retrieve 00:50 - Converting 170 into Binary 01:26 - Converting 0.3 into Binary 03:28 - Representing 170.3 as Binary 03:46 - Converting to Standard From (base 2) 05:07 - Sign Bit 05:33 - Exponent Bits 07:16 - Fraction Bits (mantissa) 08:43 - Important Note on Rounding 10:05 - How the 32 Bits (4 bytes) will look 10:37 - Reading the value from memory 10:50 - Extracting Key Information from the Bits 11:26 - Conversion back into Decimal
-————————————————————————————————————- The IEEE Standard for Floating-Point Arithmetic (IEEE 754) is a technical standard for floating-point arithmetic established in 1985 by the Institute of Electrical and Electronics Engineers (IEEE). The standard addressed many problems found in the diverse floating-point implementations that made them difficult to use reliably and portably. Many hardware floating-point units use the IEEE 754 standard.
NOTE: I am not a teacher by any means, these videos are just to help me improve my understanding.
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