Problem 2: Working with Digital Representation Given the following normalized 14-bit format with an excess-16 bias, answer the following questions: 1 1 0 0 1 1 1 1 0 0 0 100 11000 11000 1000 a- Find the equivalent decimal values of both numbers b- Add the above given numbers using floating-point arithmetic and show the result in a normalized 14-bit format with an excess-16 bias. c- Prove that your answer in part b is correct by checking its decimal equivalent value with the sum of the equivalent decimal values of both numbers you calculated in part a.

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
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Problem 2: Working with Digital Representation
Given the following normalized 14-bit format with an excess-16 bias, answer the
following questions:
1 1001 1 1 100 0 1 0 0
1000 1 1 0 0 0 1 0 0 0
1
a- Find the equivalent decimal values of both numbers
b- Add the above given numbers using floating-point arithmetic and show the
result in a normalized 14-bit format with an excess-16 bias.
c- Prove that your answer in part b is correct by checking its decimal equivalent
value with the sum of the equivalent decimal values of both numbers you
calculated in part a.
End of TMA
Transcribed Image Text:Problem 2: Working with Digital Representation Given the following normalized 14-bit format with an excess-16 bias, answer the following questions: 1 1001 1 1 100 0 1 0 0 1000 1 1 0 0 0 1 0 0 0 1 a- Find the equivalent decimal values of both numbers b- Add the above given numbers using floating-point arithmetic and show the result in a normalized 14-bit format with an excess-16 bias. c- Prove that your answer in part b is correct by checking its decimal equivalent value with the sum of the equivalent decimal values of both numbers you calculated in part a. End of TMA
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