Binary Storage of Floats into Memory - IEEE 754 binary32
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.
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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
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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.
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