Reduce the following functions using Boolean algebra : (a) (b) (c) (d) f = A.A+ A.A+B.0+ A.B.A+C.C.C+C.C f = (x+y). (x + y). (x + y). (x+y) f=b.c+ā.b.c + a.b.c+a.c f = A.B +Ā.B + Ā. Ē + A. B

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Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.