Which Boolean expression represents the SOP (Sum of Products) form? Choose the most appropriate answer.(A * B) + (C * D)A + B + C + D(A + B) * (C + D)A + B + (C * D)
Question
Which Boolean expression represents the SOP (Sum of Products) form? Choose the most appropriate answer.(A * B) + (C * D)A + B + C + D(A + B) * (C + D)A + B + (C * D)
Solution
To determine which Boolean expression represents the SOP (Sum of Products) form, we need to analyze the given options.
Option 1: (A * B) + (C * D) This expression consists of two terms, (A * B) and (C * D), which are multiplied together and then added. This is a valid representation of the SOP form.
Option 2: A + B + C + D This expression consists of four terms, A, B, C, and D, which are all added together. This is not a representation of the SOP form, as it does not involve any multiplication.
Option 3: (A + B) * (C + D) This expression consists of two terms, (A + B) and (C + D), which are added together and then multiplied. This is not a representation of the SOP form, as it involves addition before multiplication.
Option 4: A + B + (C * D) This expression consists of three terms, A, B, and (C * D), which are all added together. Additionally, the term (C * D) involves multiplication. This is not a representation of the SOP form, as it involves addition and multiplication together.
Based on the analysis, the Boolean expression that represents the SOP form is Option 1: (A * B) + (C * D).
Similar Questions
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