The expression Y = AB + BC + AC shows the ____ operation.
2023
The expression Y = AB + BC + AC shows the ____ operation.
- A.
EX-OR
- B.
SOP
- C.
POS
- D.
More than one of the above
- E.
None of the above
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Correct answer: B
The given expression is Y = AB + BC + AC. Step 1: Identify the form of the expression. It is a sum of product terms (AB, BC, AC). Step 2: SOP (Sum of Products) is defined as a sum of one or more AND terms (product terms). Step 3: EX-OR operation is Y = AB' + A'B, which is different from the given expression. Step 4: POS (Product of Sums) is a product of OR terms, e.g., (A+B)(B+C), which is not the case here. Step 5: Since only SOP matches, the correct answer is B.