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A don’t-care minterm is a combination of variables whose logical value is not sp

ID: 3890390 • Letter: A

Question

A don’t-care minterm is a combination of variables whose logical value is not specified. A don’t-care minterm cannot be marked with either a 1 or 0 in a Karnaugh map, as this requires that the function be always 1 or 0, respectively. Instead, an X inside a square in the Karnaugh map indicates that we don’t care whether the value of 0 or 1 is assigned to the function for a particular minterm. In choosing adjacent squares to simplify the function in a map, the don’t-care minterms may be assumed to be either 0 or 1, depending on which gives the simplest expression. Consider a three-variable function

F(x, y, z) = (3, 5)

which has the don’t-care conditions

d = (4, 7)

(a) (3 points) Using the format in Figure 14, mark the minterms of F and d with 1s and Xs, respectively.

(b) (6 points) Find a simplified expression for F by appropriately choosing the Xs as 0 or 1.

Explanation / Answer

i am unable to upload the images therefore sharing the image url. please follow the same for both part:

(A):

https://drive.google.com/open?id=0B482UDpVXbMvLWhQX2thUkVIaEk

(B)

https://drive.google.com/open?id=0B482UDpVXbMvWGhJTXBTOFc4YjA

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