Question #78941

a. Minimize the following problems using the Karnaugh maps method.
Z = f (A, B, C) = + B + AB + AC

Expert's answer

Answer on Question #78941 – Math – Discrete Mathematics

Question

Minimize the following problems using the Karnaugh maps method:

Z=f(A,B,C)=B+AB+ACZ = f(A,B,C) = B + AB + AC

Solution

Build the truth table and the Karnaugh-map:



Fill in them:



Form the groups:



Thus, Z=B+ACZ = B + AC

Answer:


Z=f(A,B,C)=B+AB+AC=B+ACZ = f(A, B, C) = B + AB + AC = B + AC


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