Which of the logic equation is the represented canonical Sum of Product (SOP)…
2021
Which of the logic equation is the represented canonical Sum of Product (SOP) form for the given K-Map?
Answer: B. A'B'C'D'+ABC'D'+A'BC'D+ABCD+ AB'C'D — In canonical SOP, we write one minterm for each cell containing 1 in the K-map. Steps: Identify all the 1s in the K-map. For each 1, write the corresponding…
- A.
A'B'CD+A'BCD+ A'BCD'+ ABCD + A'BCD
- B.
A'B'C'D'+ABC'D'+A'BC'D+ABCD+ AB'C'D
- C.
A'B'CD+A'BCD'+A'BCD+ ABC'D+A'BCD
- D.
A'BCD+ABCD'+A'BCD+ ABC'D
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Correct answer: B
In canonical SOP, we write one minterm for each cell containing 1 in the K-map.
Steps:
Identify all the 1s in the K-map.
For each 1, write the corresponding minterm using A, B, C, D
(use complemented variable if the bit is 0, uncomplemented if it is 1).Add (OR) all the minterms together.
Since the question asks for canonical SOP (not simplified), no grouping is done—every 1 contributes one minterm.