Exam 1- Digital Logic Design Questions & Answers

Exam 1- Digital Logic Design Questions & Answers adjacency - CORRECT ANSWER- ab + ab' = a a(b + b') a * 1 (a + b)(a+b') = a AND - CORRECT ANSWER- gate? a * b associative - CORRECT ANSWER- a + (b + c) = (a + b) + c a(bc) + (ab)c canonical POS - CORRECT ANSWER- a POS expression where each sum term is a maxterm canonical SOP - CORRECT ANSWER- an SOP where all product terms are minterms - - each product term contains all variables EX. f(x,y,z) = x'yz' + xy'z' + xyz' +xyz commutative - CORRECT ANSWER- a + b = b + a ab = ba complement - CORRECT ANSWER- a + a' = 1 a * a' = 0 consensus - CORRECT ANSWER- a * t_1 + a' * t_2 +t_1*t_2 = a*t_1 + a*t_2 De Morgan's theorem - CORRECT ANSWER- (ab)' = a' + b' (a + b)' = a'b' distribution - CORRECT ANSWER- a(b+c) = ab + ac a + bc = (a + b)(a+c) essential prime implicant - CORRECT ANSWER- a prime implicant that has a '1' that is circled only once identity - CORRECT ANSWER- a + 0 = a a*1 = a 0 + a = a 1*a = a implicant - CORRECT ANSWER