Chapter 4: Q51E (page 286)
Express each nonnegative integer a less than 15 as a pair (a mod 3, a mod 5).
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35. What integer does each of the following one’s complement representations of length five represent?
a) 11001 b) 01101 c) 10001 d) 11111
Express in pseudocode with the algorithm described the text for finding the prime factorization of an integer.
If the product of two integers is 273852711 and their greatestcommon divisor is 23345, what is their least common multiple?
a) Define what it means for a and b to be congruent m odulo 7.
b) Which pairs of the integers-11,-8,-7,-1,0,3 and 17are congruent ?
c) Show that ifa and bare congruent m odulo 7, then 10a+13 and -4b+20 are also congruent m odulo 7.
Describe an algorithm that finds the Cantor expansion of an integer.
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