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hw01_SLN - ECE 211 HW 1 Solutions p 1 of 5...

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ECE 211 HW 1 Solutions p 1 of 5 //home/vdimitrov/6624/1b965c40e7858bc516a2bb592c7ba03c6755bd81.doc HW Set 1 – Solutions 1. (a) Complete the Truth Table by evaluating each excpression when P = 0, and when P = 1. P P · 0 P · 1 P · P P · P' P + 0 P + 1 P + P P + P' P 0 P 1 P P P P' 0 1 (b) Using your above results, complete each line by filling in either 0, 1, P or P'. P · 0 = P + 0 = P 0 = P · 1 = P + 1 = P 1 = P · P = P + P = P P = P · P' = P + P' = P P' = Solution: (a) P P 0 P 1 P P P P’ P + 0 P + 1 P + P P + P’ P 0 P 1 P P P P’ 0 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 (b) P 0 = 0 P + 0 = P P 0 = P P 1 = P P + 1 = 1 P 1 = P’ P P = P P + P = P P P = 0 P P’ = 0 P + P’ = 1 P P’ = 1

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ECE 211 HW 1 Solutions p 2 of 5 2. The inclusive-OR function of two statements is True iff at least one of the two statements is True. The exclusive-OR function of two statement is True iff exactly one of the two statements is true. (a) Complete the Truth Table below to evaluate (A + B + C).
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