Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs
Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs
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
Section: Chapter Questions
Problem 1PE
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Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation.
I. 1.00111112
II. 1.10010012
III. 1.01111002
IV. 1.01101002
For each of the four (4) resulting rounded binary numbers, indicate
- what type of rounding you performed and
- compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process.
please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs
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