You are working for Sony developing an emulator for a collection of games released on the original Playstation One. Unfortunately, the 3D graphics engines of old video game consoles used fixed-point arithmetic. Your job is to update the code to use IEEE single precison floating-point numbers. Suppose you encounter the following binary number: x= -100.0101

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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You are working for Sony developing an emulator for a collection of games released
on the original Playstation One. Unfortunately, the 3D graphics engines of old video
game consoles used fixed-point arithmetic. Your job is to update the code to use IEEE
single precison floating-point numbers.
Suppose you encounter the following binary number:
x= -100.0101
How would you store this number as an IEEE single precision number? Specify the
sign, exponent, and significand. Think carefully about how this information is stored.
Is the exponent stored directly, or in some other manner? Do all digits of the binary
number need to be stored?
Your answers should be strings of 1's and O's. The significand of a single precision
number consists of 23 bits; for this number, the last 17 bits are zero, so you only need
to enter the first six bits.
Sign: strings of 1's and O's
Exponent: strings of 1's and O's
Significand (first 6 digits): strings of 1's and O's
For more info on IEEE single precision numbers, including their representation, please
consult the reference page.
Transcribed Image Text:You are working for Sony developing an emulator for a collection of games released on the original Playstation One. Unfortunately, the 3D graphics engines of old video game consoles used fixed-point arithmetic. Your job is to update the code to use IEEE single precison floating-point numbers. Suppose you encounter the following binary number: x= -100.0101 How would you store this number as an IEEE single precision number? Specify the sign, exponent, and significand. Think carefully about how this information is stored. Is the exponent stored directly, or in some other manner? Do all digits of the binary number need to be stored? Your answers should be strings of 1's and O's. The significand of a single precision number consists of 23 bits; for this number, the last 17 bits are zero, so you only need to enter the first six bits. Sign: strings of 1's and O's Exponent: strings of 1's and O's Significand (first 6 digits): strings of 1's and O's For more info on IEEE single precision numbers, including their representation, please consult the reference page.
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