( NO HAND WRITING PLEASE )
Q1: Suppose that a and b are
integers, a ? 11...
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Basic Math
( NO HAND WRITING PLEASE )
Q1: Suppose that a and b areintegers, a ? 11 (mod 19), and
b ? 3 (mod 19). Find the integer c with 0 ? c ? 18such
that
a) c ? 13a (mod 19).
b) c ? 8b (mod 19).
c) c ? a ? b (mod 19).
d) c ? 7a + 3b (mod 19).
e) c ? 2a2 + 3b2 (mod19).
Q2:
List all the steps used to search for 10 in thesequence 1,3, 4, 5, 6, 8, 9, 11 using
a) A linear search.
b) A binary search.
Answer & Explanation
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1 Given that a and b are integers such that a 11mod 19and b 3mod 19 and cis an integer such that Now a We have a 11mod 19ie a 19m 11 where m is an integerie 13a 1319m 11ie 13a 1913m 143ie 13a 1913m 7 10ie 13a 19m 10 where m 13m 7Given c 13amod 19ie c 19k 13a where k
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