Normalized Floating Point Representations in Hexadecimal Notation - Prof. Sudhakar Yalaman, Assignments of Electrical and Electronics Engineering

The normalized floating point representations in hexadecimal notation for various single and double precision numbers, including negative and positive values, as well as special values like infinity.

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Pre 2010

Uploaded on 09/17/2009

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Show the single precision (32-bit) and double precision (64-bit) normalized floating point rep-
resentations of the following numbers. Use the 754 standard and present your solution in
hexadecimal notation (a hexadecimal number is denoted by a leading 0x).
Single Precision (32-bit)
-0.875 0xbf600000
-1.03125 0xbf840000
Infinity 0x7f800000
-4.5 0xc0900000
-0.125 0xbe000000
10.03125 0x41208000
-0.0625 0xbd800000
0.375 0x3ec00000
Double Precision (64-bit)
-1.0 0xbff0000000000000
Infinity 0x7ff0000000000000
-1.0 0xbff0000000000000
-0.1875 0xbfc0000000000000
-0.125 0xbfc0000000000000
-1.5 0xbff800000000000

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Show the single precision (32-bit) and double precision (64-bit) normalized floating point rep- resentations of the following numbers. Use the 754 standard and present your solution in hexadecimal notation (a hexadecimal number is denoted by a leading “0x”).

Single Precision (32-bit) -0.875 0xbf -1.03125 0xbf Infinity 0x7f -4.5 0xc -0.125 0xbe 10.03125 0x -0.0625 0xbd 0.375 0x3ec

Double Precision (64-bit) -1.0 0xbff Infinity 0x7ff -1.0 0xbff -0.1875 0xbfc -0.125 0xbfc -1.5 0xbff