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4. (15 points) Write the canonical SOP and POS form for the following logic.

(al f= S
г,(1,2)
(b) / = Il,,. (0, 1, 2)
(c) f = Er u.= (2,4, 6, 7)
(d) / = I_». (0, 1,3, 4, 5)

Need answered ASAP

User Shakeira
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1 Answer

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Answer: The canonical SOP (Sum of Products) form for the logic expression is a simplified form of an Boolean expression in which the logical AND operation is applied to a set of logical OR operations. The POS (Product of Sums) form is the dual form of SOP, where logical OR operation is applied to a set of logical AND operations.

The SOP form for the logic expression is:

(a' + b' + c' + d') + (a' + b' + c' + d') (a + b' + c' + d') + (a' + b' + c' + d') (a' + b + c' + d') + (a' + b' + c' + d') (a' + b' + c + d') + (a' + b' + c' + d') (a' + b' + c' + d)

The POS form for the logic expression is:

(a + b + c' + d') (a + b + c + d') (a + b + c + d) (a + b' + c + d') (a + b' + c + d) (a + b + c' + d) (a + b + c' + d) (a + b' + c' + d)

It's important to note that the above expressions are the canonical forms for the given logic, but it can be simplified further using Boolean algebra identities, laws and theorems depending on the specific requirements of the problem.

Explanation: please let me know if this is correct or if it helps

User Steve Bourne
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