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What is the degree of the following function?

F(A,B,C,D) = A`B`C`D`

  • A.4
  • B.8
  • C.0
  • D.5

Answer: A

The degree of the function is 4. The function F(A,B,C,D) = A`B`C`D` is a single product term in which each of the four variables appears once, in complemented form, so the term has four literals and its degree is 4. The values 8, 0 and 5 do not match the number of variables in the term, so only 4 is correct. Counting each variable in the product A`B`C`D` once gives the number 4, which is why the other numbers fail.

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