GRNE AMERICAN UNIVERSITY FACULTY OF ENGINEERING ENG 206 Digital Systems Questions 1. A sequential circuit is represented by the state equations and the output functions as given below A(n+1) = (AO) B+ B'C B(n+1) = A'(x+x'BC) C(n+1) = AC+(BX) and y=B+A'C z=Ax'+BCx where x is an input and y and z are outputs. a) Obtain the state table for the sequential circuit given above. b) Draw the state diagram of the sequential circuit. 2. A sequential circuit is represented by the state equations and the output functions as given below A(n+1) = AB'X + E B(n+1) = Ax+B'ex and y=B+A'x ZB+x where x is an external input and y and z are external outputs. Design it using T flip-flop for state A and JK flip-flop for state B. 3. A sequential circuit has two JK flip-flops, A and B; two inputs, x and y; and one output, z. The flip-flop input functions and the circuit output function are as follows: JA=( Ay)x+ B'y KA=y'! (x+A'B) JB=B'y+Ax' KB=AOB Z-B'x+Ax'y a) Obtain the state table b) Design the sequential circuit given above using EL flip-flops where the characteristic table of EL flip-flop is as given below. (hint: AJB=(A+B)' ) E 0 0 1 1 L 0 1 0 1 Q(n+1) 0 Q'(n) Qan) 1