Chapter 4: Q27SE (page 307)
Find gcd(2n + 1.3 + 2), where n is a positive integer.[Hint: use the Euclidean algorithm]
To find gcd(2n + 1.3n + 2) is 1
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Convert the octal expansion of each of these integers to a
binary expansion.
a) (572)8 b) (1604)8
c) (423)8 d) (2417)8
Convert (7345321)8 to its binary expansion and (10 1011 1011)2 to its octal expansion.
Find the prime factorization of 10!.
Express in pseudocode the trial division algorithm for determining whether an integer is prime.
Show that the binary expansion of a positive integer can be obtained from its octal expansion by translating each octal digit into a block of three binary digits.
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