Briefly explain what is meant by sop and pos, Computer Engineering

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Briefly explain what is meant by sop and pos

Problem

Given the binary function: f(a,b,c)=∑m(1,4,6)+∑d(0,2,7)

A. Is this expression in the form of Sum of Products (SOP) or Product of Sums (POS)?

B. Briefly explain what is meant by SOP and POS. What logic gates are used to construct a SOP function in hardware? What logic gates are used to construct a POS function in hardware?

C. What is meant by "dont' care" in a minterm or Maxterm expansion truth table. How are they used?

D. Using the table function in the text editor, (or you can attach a photo of your truth table) Create the truth table for this expression. a is the MSB and c is the LSB.

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