ECE314sp06_HW4_solutions

# ECE314sp06_HW4_solutions - ECE/CS 314 Spring 2006 Homework...

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1 ECE/CS 314 Spring 2006 Homework 4 Solutions Problem 1. (16 points) Convert the following decimal numbers to IEEE 754 floating point format. (a) Convert 6.875 x 10 2 to single precision floating point format. 6.875 x 10 2 = 687.5 = 1010101111.1 = 1.0101011111 x 2 9 (b) Convert 6.875 x 10 2 to double precision floating point format. 6.875 x 10 2 = 687.5 = 1010101111.1 = 1.0101011111 x 2 9 (c) Convert 7.421875 x 10 -2 to single precision floating point format. 7.421875 x 10 -2 = .07421875 = 0.00010011 = 1.0011 x 2 -4 (d) Convert 7.421875 x 10 -2 to double precision floating point format. 7.421875 x 10 -2 = .07421875 = 0.00010011 = 1.0011 x 2 -4 Problem 2. (24 points) Complete the following table to show how to round each number using the specified rounding rule. The first bit in parenthesis is the guard bit and the second bit in parenthesis is the round bit. The rounded number should have a 4-bit significand. Number

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ECE314sp06_HW4_solutions - ECE/CS 314 Spring 2006 Homework...

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