CMTH110 - Solutions04.pdf - CMTH 110 u2013 Assignment...

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CMTH 110 – Assignment 4 (Solutions) 1. (a) Express the following two numbers in binary notation: C6 and 35. Then, add them together (again, in binary notation). Express your answer in both binary and hexadecimal form.
(b) Find the 2’s complement of C 6 16 . Express your answer in binary and hexadecimal form.
2. (Exercise 7(a),(c) in 3.1) Find the truth set of each predicate. (a) predicate P ( d ): 6 /d is an integer, domain: Z \ { 0 } . (c) predicate Q ( x ): 1 x 2 4, domain: R .
3. (Exercise 11 in 3.1) Find a counterexample to show that the statement positive integers m and n, m · n m + n. is false.

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