(i) (a) Reduce the Boolean function F(A,B,C,D) = π (0, 1, 2, 3, 4, 6, 9, 11, 13) by using 4-variable Karnaugh map, showing the various groups (i.e. octal, quads and pairs).
(b) Draw the logic gate diagram for the reduced expression. Assume that the variables and their complements are available as inputs.

(ii)
(a) From the logic circuit diagram given below, name the outputs (1), (2) and (3) and finally derive the Boolean expression (F) and simplify it. Identify the propositional connective which is equivalent to the simplified Boolean expression.

(b) If A=1 and B=0 then find the value of (Aꞌ + 1) • B


Solution



(i)



(ii)



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