Using the switching algebra theorems minimize the following logic functions: F = A’C’ + A’BC +...

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Using the switching algebra theorems minimize the following logic functions: F = A’C’ + A’BC +...

Using the switching algebra theorems minimize the following logic functions:

F = A’C’ + A’BC + B’C

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Answer 1

Answer #1

F = A'C' + A'BC + B'C
= A'(B+B')C' + A'BC + B'C
= A'(B+B')C' + A'BC + B'C + B'C
= A'(B+B')C' + A'BC + (A+A')B'C + B'C
= A'BC' + A'B'C' + A'BC + AB'C + A'B'C + B'C
= A'BC' + A'B'C' + A'BC + A'B'C + B'C
= A'(B'C'+BC'+B'C+BC) + B'C
= A' + B'C
Answer: A' + B'C

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Answer 2

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