In a K-map, a quad (group of 4 adjacent minterms) eliminates how many variables?
$A single cell = 0 variables eliminated. Pair (2 cells) = 1 variable eliminated. Quad (4 cells) = 2 variables eliminated. Octet (8 cells) = 3 variables eliminated.$
For F(A,B,C)=A+B'C, which statements are CORRECT?
When $A=1$, all four minterms 4-7 are 1; when $A=0$, B'C contributes only minterm 1. Thus the ON-set is {1,4,5,6,7}.
Which of the following Boolean algebra identities is INCORRECT?
(A + B)(A + C) = A + BC, which is Distributive Law. The option stated AB + C which is incorrect.
For F(A,B,C) = $\Sigma m(0, 2, 4)$, which of the following is its canonical POS (product-of-maxterms) form?
For three variables there are 8 minterms. Since $F=1$ at minterms 0,2,4, the zero locations are 1,3,5,6,7; hence F=∏M(1,3,5,6,7).
Which statements about the maximum number of prime implicants of a 3-variable Boolean function are CORRECT?
The question asks for the maximum, not the number for every function. Six is the maximum over all 3-variable Boolean functions.