CPSC 121 Study Guide - Final Guide: Surjective Function, Brie, Perfect Number
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CPSC 121 Full Course Notes
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Explain brie y the di erence between the purpose of a half-adder and that of a full- adder. Solution : a half-adder computes the sum of two bits. A full-adder adds three bits (two bits and a carry from a previous position). Give an example of a function f from z+ into a that is not onto (surjective). Solution : the function f de ned by f (x) = 1 is not onto (there is no positive integer x such that f (x) = 2). Consider the function f : {1, 2, . , 18} a de ned by f (x) = x2 3x + 3. Solution : no, because f (1) = f (2) = 1. Solution : 256 + 32 + 16 + 8 + 2 + 1 = 197. 1. 2000002 page 2 (and so on) instead of. Solution : the value 0. 1 can not be represented exactly as a (binary) oating point value.