1. Assume the following two single precision floating point numbers: 31 30 29 28 27 26...
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1. Assume the following two single precision floating point numbers: 31 30 29 28 27 26 25 24 23 22 21 20 19 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 A B 18 17 16 15 0 0 0 0 0 0 0 0 *** DecimalNumber = (-1) × (1 + Fraction) x 2(Exponent-Bias) *** *** 210 000 000 a) What is the decimal equivalent of the numbers represented by A and B? (Assume bias is 127.) b) What is the 32-bit floating point result of A x B? Show the steps for multiplying these two numbers using floating point multiply algorithm. Useful equations: 1. Assume the following two single precision floating point numbers: 31 30 29 28 27 26 25 24 23 22 21 20 19 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 A B 18 17 16 15 0 0 0 0 0 0 0 0 *** DecimalNumber = (-1) × (1 + Fraction) x 2(Exponent-Bias) *** *** 210 000 000 a) What is the decimal equivalent of the numbers represented by A and B? (Assume bias is 127.) b) What is the 32-bit floating point result of A x B? Show the steps for multiplying these two numbers using floating point multiply algorithm. Useful equations:
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The question here involves converting binary representations of singleprecision floating point numbers to decimal and then performing a multiplication a To convert the binary floatingpoint representat... View the full answer
Related Book For
Statistics For Business & Economics
ISBN: 9781285846323
12th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Camm, James Cochran
Posted Date:
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