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For the Boolean function F(x, y, z) = xy'z + x'y + x'z + yz, (a) express this function as a sum of minterms, and
For the Boolean function F(x, y, z) = xy'z + x'y + x'z + yz, (a) express this function as a sum of minterms, and (b) find the minimal sum-of-products expression. Answer: F(x, y, z) = m1 + m2 + m3 + m5 + m7 = z + x'y In practice exercise 3.4 (b), it asks to find the minimal sum-of-products expression and shows the answer. Could you draw the corresponding K-map for this question, and show the groupings of the appropriate adjacent squares that produce each product in the minimal sumof-products expression provided in the answer, properly label the groupings so that we could see which grouping produces which product in the provided minimal sum-of-products expression in the answer. Also try to obtain the product-of-sum form for the same given function F(x, y, z) ? Explain how you do it. (Draw a separate K-map and show the groupings and label the groupings for us to understand your answer.)
For the Boolean function F(x, y, z) = xy'z + x'y + x'z + yz, (a) express this function as a sum of minterms, and (b) find the minimal sum-of-products expression.
Answer: F(x, y, z) = m1 + m2 + m3 + m5 + m7 = z + x'y
In practice exercise 3.4 (b), it asks to find the minimal sum-of-products expression and shows
the answer. Could you draw the corresponding K-map for this question, and show the
groupings of the appropriate adjacent squares that produce each product in the minimal sumof-products expression provided in the answer, properly label the groupings so that we could
see which grouping produces which product in the provided minimal sum-of-products
expression in the answer.
Also try to obtain the product-of-sum form for the same given function F(x, y, z) ? Explain how
you do it. (Draw a separate K-map and show the groupings and label the groupings for us to
understand your answer.)
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