p. 1HW-1 Due Friday Jan. 16 ECE2030a Name________________________Email ________________________Bring this homework to class on Friday Jan. 16, but do not turn it in until the end of class. Note that A'is a notation for NOT(A). The symbol "*" is AND, "+" is OR#1. Fill in the truth table below for the logic function Out = A+BCABCOut00010010010001111001101111011111#2. Simplify the Boolean expression so that it has only three parameters (out of A, A', B, B', C, C'):A'C + ABC = ______________ (A' + AB)*C _____________= ______________(A' + B)*C ___________= ______________________________________#3. Fill in the truth table for the Output of the function in problem #2.ABCOut00000011010001111000101011001111p. 2#4. Using DeMorgan’s Theorem, express the function below as indicated.F(A,B,C) = AC’ + A’C’ + BC’ By chance, (A + A')C' +BC' = C ( 1 + B) = C'__________________________________________________________________________________a. With only OR and Complement operations: __ (A'+C)' + (A+C)' + (B'+C)' __ _________________________________________ _________________________________________b. With only AND and Complement operations: ____ ( (AC')' (A'C')' (BC')' )'___#5. In order to design a single stage logic circuit, we need to express the logic function so that onlysingle literals are complemented [ no complemented parentheses like (A+B)’ ]. Express the followinglogic functions that way (use DeMorgan’s theorem):(A’+ B)’C + ((D + E’)F)’ = ____________ AB'C + (D+E')' + F' ___________= _____________ B'C +D'+E + F' __________________= ___________________________________________________________= ___________________________________________________________ (AB(C + D)’)’ = ____________________ (AB)' + (C+D) ____________________= __________ A' + B' + C + D ___________________________= ___________________________________________________________= ___________________________________________________________=
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