quiz

Sum of Product and Product of Sum

1. What are the typical outputs of SOP and POS?

  • A) SOP: LOW(0), POS: HIGH(1)
  • B) SOP: HIGH(1), POS: LOW(0)
  • C) SOP: Unstable output, POS: Stable output
  • D) SOP: No output, POS: HIGH(1)
B) SOP: HIGH(1), POS: LOW(0) Explanation

2. What is the Sum of Products (SOP) form for the boolean expression F(x, y, z) = 1?

  • A) F(x, y, z) = x⋅y⋅z
  • B) F(x, y, z) = x + y⋅z
  • C) F(x, y, z) = x⋅y + x⋅z + y⋅z
  • D) None of the above
D) None of the above Explanation

3. What does POS prefer between minterms and maxterms?

  • A) Minterms
  • B)  Maxterms
  • C) Both Equally
  • D) None of the above
B) Maxterms Explanation

4. What is the truth value of F for the input combinations a=0, b=1, and c=0, where F(a,b,c)=Σ(2,4,6,7)?

  • A) 0
  • B) 1
  • C) Undetermined
  • D) None of the above.
B) 1 Explanation

5. Which strategy is used to simplify by grouping adjacent minterms or maxterms?

  • A) Boolean Algebra
  • B) De Morgan's Theorem
  • C) Karnaugh Maps
  • D) Distributive law
C) Karnaugh Maps Explanation

6. How many maxterms are possible for a Boolean function with n variables?

  • A) 2n
  • B) 2n+1
  • C) n2
  • D) n+1
A) 2n Explanation

7. In a POS expression, what does each sum term represent?

  • A) An AND operation between inputs
  • B) An OR operation between inputs
  • C) A NAND operation between inputs
  • D) A NOR operation between inputs
B) An OR operation between inputs Explanation

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