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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Find four numbers congruent 5modulo 17.
Convert the hexadecimal expansion of each of these in- tigersto a binary expansion.
a) (80E)16 b) (135AB)16
c) (ABBA)16 d) (DEFACED)1
Describe the extended Euclidean algorithm using pseudocode.
Determine whether each of these integers is prime.
a) 21 b) 29
c) 71 d) 97
e) 111 f) 143
Show that is an irrational number. Recall that an irrational number is a real number that cannot be written as the ratio of two integers.
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