F(A,B,C)=∑m(0,1,7)then /F=∑m()
Question
F(A,B,C)=∑m(0,1,7)then /F=∑m()
Solution
The given function is F(A,B,C)=∑m(0,1,7). This is a sum-of-minterms representation of a Boolean function. The minterms that are not included in the sum are 2, 3, 4, 5, 6, and 8.
The complement of a function F, denoted as /F or F', is a function that has the value 1 wherever F has the value 0, and vice versa.
In terms of minterms, the complement of F includes all the minterms that are not included in F. Therefore, the complement of the given function is /F=∑m(2,3,4,5,6,8).
Similar Questions
Select the correct answer.What is the inverse of function f?𝑓(𝑥)=𝑥+7 A. 𝑓-1(𝑥)=(𝑥+7)2,for𝑥≥-7 B. 𝑓-1(𝑥)=𝑥2+7,for𝑥≥-7 C. 𝑓-1(𝑥)=𝑥2−7,for𝑥≥7 D. 𝑓-1(𝑥)=(𝑥−7)2,for𝑥≥7
The Boolean expression F(A,B,C) = ∑m(0,3,5,6)
Instructions: Create a table of values for the given function.f(x)=7x+1𝑓(𝑥)=7𝑥+1
f (x, y) = x2y + 7xy3 at (1, 2)
) F(A,B,C,D)=Σm(1,2,5,6,8,9)
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