0.5 1/2 0.25 1/4 0.125 1/8 0.0625 1/16 0.03125 1/32 0.015625 1/64 0.0078125 1/128 For the decimal number given below, answer each question in the process of converting the value into IEEE 754-like 16-bit hex format where there is a 1- bit sign, 5-bit exponent, and 10-bit significand. You must show your work to get full credit. You may find the above graphic helpful. Given the decimal value 9.375: a) What is the unsigned binary representation for the above decimal value? [Select] b) What is the normalized scientific notation for the binary representation and decimal exponent? [Select] c) What is the 5-bit Bias decimal value of the exponent? (Hint: be = exponent + K where K is 15 for a 5-bit exponent) [Select] x 2 to the [Select] d) What is the 5-bit binary representation of the Bias decimal value of the exponent? [Select] e) What is the value of the 16-bit representation expressed in four hexadecimal digits? The answer will be 4 hex digits. [Select]

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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Question
0.5
0.25
0.125
1/8
0.0625 1/16
0.03125 1/32
0.015625
1/64
0.0078125 1/128
For the decimal number given below, answer each question in the process of
converting the value into IEEE 754-like 16-bit hex format where there is a 1-
bit sign, 5-bit exponent, and 10-bit significand. You must show your work to
get full credit. You may find the above graphic helpful.
Given the decimal value 9.375:
a) What is the unsigned binary representation for the above
decimal value?
[Select]
b) What is the normalized scientific notation for the binary
representation and decimal exponent?
x 2 to the [Select]
c) What is the 5-bit Bias decimal value of the exponent? (Hint: be
= exponent + K where K is 15 for a 5-bit exponent)
[Select]
[Select]
1/2
1/4
d) What is the 5-bit binary representation of the Bias decimal
value of the exponent?
[Select]
e) What is the value of the 16-bit representation expressed in four
hexadecimal digits? The answer will be 4 hex digits.
[Select]
Transcribed Image Text:0.5 0.25 0.125 1/8 0.0625 1/16 0.03125 1/32 0.015625 1/64 0.0078125 1/128 For the decimal number given below, answer each question in the process of converting the value into IEEE 754-like 16-bit hex format where there is a 1- bit sign, 5-bit exponent, and 10-bit significand. You must show your work to get full credit. You may find the above graphic helpful. Given the decimal value 9.375: a) What is the unsigned binary representation for the above decimal value? [Select] b) What is the normalized scientific notation for the binary representation and decimal exponent? x 2 to the [Select] c) What is the 5-bit Bias decimal value of the exponent? (Hint: be = exponent + K where K is 15 for a 5-bit exponent) [Select] [Select] 1/2 1/4 d) What is the 5-bit binary representation of the Bias decimal value of the exponent? [Select] e) What is the value of the 16-bit representation expressed in four hexadecimal digits? The answer will be 4 hex digits. [Select]
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