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algol [13]
3 years ago
14

Based on the information in the table, which of the following tasks is likely to take the longest amount of time when scaled up

for a very large company of approximately 100,000 customers

Computers and Technology
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

Task A

Explanation:

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The sum of all the minterms of a boolean function of n variables is equal to 1.
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The answers are as follows:

a) F(A, B, C) = A'B'C' + A'B'C + A'BC' + A'BC + AB'C' + AB'C + ABC' + ABC

= A'(B'C' + B'C + BC' + BC) + A((B'C' + B'C + BC' + BC)

= (A' + A)(B'C' + B'C + BC' + BC) = B'C' + B'C + BC' + BC

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b) F(x1, x2, x3, ..., xn) = ∑mi has 2n/2 minterms with x1 and 2n/2 minterms

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product terms will have 2n-1/2 minterms with x2 and 2n-1/2 minterms

with x'2, which and be factored to remove x2 and x'2, continue this

process until the last term is left and xn + x'n = 1

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