In this question, we consider a non-standard floating point number representation, which is based on IEEE-754 but has different order and lengths of fields as shown below: Mantissa (15 bits) Sign (1 bit) Exponent (16 bits) Assume that the bias is still calculated based on the formula: 2exponent 1. Convert the following decimal numbers into the above non-standard representation form. Please write down all intermediate steps of the calculations of mantissa and exponent.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Question A
In this question, we consider a non-standard floating point number representation, which is based
on IEEE-754 but has different order and lengths of fields as shown below:
Mantissa (15 bits)
Sign (1 bit) Exponent (16 bits)
Assume that the bias is still calculated based on the formula: 2exponent – 1.
1. Convert the following decimal numbers into the above non-standard representation form.
Please write down all intermediate steps of the calculations of mantissa and exponent.
Your answers should be written in hexadecimal form. (5 marks each)
a. 21.875
b. 1.384765625
Transcribed Image Text:Question A In this question, we consider a non-standard floating point number representation, which is based on IEEE-754 but has different order and lengths of fields as shown below: Mantissa (15 bits) Sign (1 bit) Exponent (16 bits) Assume that the bias is still calculated based on the formula: 2exponent – 1. 1. Convert the following decimal numbers into the above non-standard representation form. Please write down all intermediate steps of the calculations of mantissa and exponent. Your answers should be written in hexadecimal form. (5 marks each) a. 21.875 b. 1.384765625
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