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GATE | GATE-CS-2007 | Question 85

The control signal functions of a 4-bit binary counter are given below (where X is “don’t care”) The counter is connected as follows:  
The counter is connected as follows: 
Assume that the counter and gate delays are negligible. If the counter starts at 0, then it cycles through the following sequence:

(A)



0, 3, 4

(B)



0, 3, 4, 5

(C)

0, 1, 2, 3, 4

(D)

0, 1, 2, 3, 4, 5


Answer: (C)
Explanation:

Initially A1 A2 A3 A4 =0000 Clr=A1 and A3 So when A1 and A3 both are 1 it again goes to 0000 Hence 0000(init.) -> 0001(A1 and A3=0)->0010 (A1 and A3=0) -> 0011(A1 and A3=0) -> 0100 (A1 and A3=1)[ clear condition satisfied] ->0000(init.) so it goes through 0->1->2->3->4 Ans is (C) part. 

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