. Suppose you want to do arithmetic with two 3-digit numbers z and y on a computer of word-size 100. a. You choose pairwise relatively prime numbers m₁,..., mn, each less than 100, whose product has at least k 1 digits. digits, where you know that the result of the arithmetic you want to perform can have at most k You then perform the desired arithmetic modulo m, for each i. How would you use these modular results to find the actual result you wanted? b. Use the method outlined in part a to compute r³ + 3ry-ry2, where z = 784 and y = 813.

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
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3. Suppose you want to do arithmetic with two 3-digit numbers r and y on a computer of word-size 100.
a. You choose pairwise relatively prime numbers m,...,m, each less than 100, whose product has at least k
digits, where you know that the result of the arithmetic you want to perform can have at most k – 1 digits.
You then perform the desired arithmetic modulo m, for each i. How would you use these modular results to
find the actual result you wanted?
b. Use the method outlined in part a to compute r+ 3ry – ry², wherer = 784 and y = 813.
%3D
Transcribed Image Text:3. Suppose you want to do arithmetic with two 3-digit numbers r and y on a computer of word-size 100. a. You choose pairwise relatively prime numbers m,...,m, each less than 100, whose product has at least k digits, where you know that the result of the arithmetic you want to perform can have at most k – 1 digits. You then perform the desired arithmetic modulo m, for each i. How would you use these modular results to find the actual result you wanted? b. Use the method outlined in part a to compute r+ 3ry – ry², wherer = 784 and y = 813. %3D
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