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There are five books on a shelf V, W, X, Y and Z. You are instructed to select a

ID: 1846203 • Letter: T

Question


There are five books on a shelf V, W, X, Y and Z. You are instructed to select among them in such manner that your selection satisfies all the following conditions:


1". Select V or W or both.


2. Select X or Z but not both.


3. Select either V and Z together or make a selection which includes neither of these.


4. lf you select Y, you must select Z as well.


5. lf you select W, you must select both V and Y.



Write a Boolean expression to satisfy all the above conditions. Minimize the Boolean expression using Laws of Boolean Algebra only.


Can you give step by step solution?

Explanation / Answer

F = V+ W + XZ' + X'Z + VZ +Z + YZ'+ W+ W'V+ W'Y


F = V+W+XZ' + Z +YZ' + W'(V+Y)

F = V+W+Z+Z'(X+Y) + W'(V+Y)