Chapter 4: Q44E (page 273)
Use the extended Euclidean algorithm to express as a linear combination of 1001 and 100001.
Linear combinations
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Describe an algorithm to add two integers from their Cantor expansions.
Express in pseudocode with the algorithm described the text for finding the prime factorization of an integer.
Show that ifis a perfect square, wherenis an integer, then nis even.
Show that the octal expansion of a positive integer can be obtained from its binary expansion by grouping together blocks of three binary digits, adding initial zeros if necessary, and translating each block of three binary digits into a single octal digit.
If the product of two integers is 273852711 and their greatestcommon divisor is 23345, what is their least common multiple?
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