Question

. Let F(X, Y, Z)=(X + Y + Z)(X + Y + Z)(X + Y + Z)(X + Y + Z). Use a 3-variable K-Map to find the minimized SOP form of this function. Hint: When you go to fill in the K-Map, you may have trouble figuring out where to put the 0s and 1s because F is specified in POS form. Your first impulse may be to try to multiply out these terms to convert it into SOP form, and then use that to fill in the K-Map. This would be logically correct but a ton of work. Instead you can use the POS form to determine where to place the 0s in the K-Map. For example, the first term (X+Y +Z) implies that you should put a zero in the square that corresponds to (X + Y + Z¯). Now use DeMorgan’s to see that (X + Y + Z¯) = X ·Y ·Z and place a 0 in the corresponding square. Repeat this for all the product terms; then you can fill in 1s in the squares without 0s.

Answer 1

Kindly see explaination

Step-by-step explanation:

The k-map van be defined as a map that provides a pictorial method of grouping together expressions with common factors and therefore eliminating unwanted variables. The Karnaugh map can also be described as a special arrangement of a truth table.

Please kindly check attachment for the 3-variable K-Map to find the minimized SOP form of the function in the question.