hw3_solution - UNIVERSITY OF CALIFORNIA DAVIS BERKELEY...

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UNIVERSITY OF CALIFORNIA, DAVIS ______________________________________________________________________________________ BERKELEY DAVIS IRVINE LOS ANGELES RIVERSIDE SAN DIEGO SAN FRANCISCO ______________________________________________________________________________________ _________________________________ SANTA BARBARA SANTA CRUZ _________________________________ EEC70: Computer Structures and Assembly Language Programming Fall 2007 Solution to Homework #3 Chapter 6 & 7, and part of Chapter 8 1. (10%) Precision. (a) Suppose a number is converted from IEEE single precision to IEEE double precision floating point. Will the value of the number ever change? If not, explain why not. If so, give two distinct types of values changes that can occur. The value will never change because the values that can be represented exactly in single precision are a subset of the values that can be represented in double precision. (b) Suppose a number is converted from IEEE double precision to IEEE single precision floating point. Will the value of the number ever change? If not, explain why not. If so, give two distinct types of values changes that can occur.
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