ELE201 Digital Circuit Design Test 3 Nov 26 2012 NAME Instructions This is a closed book closed notes exam You have 60 minutes to complete the problems Note that the problems have different weights plan your efforts accordingly There are multiple versions of this test hence your answers might not match those of your friends Grading will be based on a completely correct answer little partial credit will be given Hence use any extra time to check your answers Prob Max score 1 30 2 30 3 40 Total 100 D Q Q Q D 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 Your score J K Qn 1 Q Q J K 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 Q 0 1 Q 1 0 1 For this circuit complete the timing diagram Q2 Q1 Q0 and Z for the inputs X and Y as shown The initial values of the flip flops are 010 as marked on the timing diagrams Take care tracing the wiring as the circuit is complex X Y Z J C J C Q2 K Q1 K clock clock X Y Q2 Q1 Q0 Z complete on this entire interval D C Q0 2 A finite state machine consists of one input X and two D flip flops let s label the flip flop outputs Q1 and Q0 The corresponding input logic for the flip flops is Sketch the corresponding state diagram 3 Design a 3 bit up counter that skips the numbers 1 and 3 i e counts 0 2 4 5 6 7 and repeats using JK flip flops Both missing states should go to 0 on the next clock edge For full credit your answers must be in simple form J2 K2 J1 K1 J0 K0