K-Map Homework: Solving (x+y)(x+y')

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To solve the expression (x+y)(x+y') using K-maps, one approach is to convert the product of sums into a sum of products by expanding it and simplifying. This involves applying the properties of AND, OR, and complements. Alternatively, the expression can be evaluated for all combinations of (x,y) values—(0,0), (0,1), (1,0), and (1,1)—to fill in the K-map. This method helps in visualizing the logic function and determining the simplified output. Understanding these techniques is essential for effectively utilizing K-maps in digital logic design.
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Homework Statement


I understand the basic of kmaps like
xy+xy' =
y y'
x 1 1
x' 0 0

would be x.

but when we have (x+y)(x+y'), how would that be setup?
 
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Heat said:

Homework Statement


I understand the basic of kmaps like
xy+xy' =
y y'
x 1 1
x' 0 0

would be x.

but when we have (x+y)(x+y'), how would that be setup?

The easiest way is change the product of sums to a sum of products by "multiplying it out" using the properties of and, or, and complement and simplifying. Alternatively you can evaluate the expression for the four possibilities (x,y) = (0,0) or (0,1) or (1,0) or (1,1) in fill in the K- table with the results.
 
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