counter

Question

The initial state of a MOD 16 down counter is 0110 . After 37 clock pulses, the state of the counter will be

• A. 0001
• B. 1011
• C. 1101
• D. 1010

Answer 1

I.

After every 16 clock pulse counter reach to initial state. 

After 32 clock pulses counter will be at 0110

after 33 clock pulse, 0101

After 34 clock pulse, 0100

After 35 clock pulse,  0011

After 36 clock pulse, 0010

After 37 clock pulse, 0001.

II

After Every 16 clock pulses counter will be at initial state, 0110

37 mod 16 = 5. 

​As it is a down counter, it will be 5 states down from 0110 = 0110 - 0101= 0001.

Comments

got it !! thank u so much sir :) :)

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its gate question

Answer 2

Ans will be (A)

37%16 =5

Now, we are in state 0110 i.e. 6

As it is down counter it rotates like 15 -> 14 -> 13 ->................6-> 5-> 4-> 3-> 2-> 1-> 0

So, after 1 full rotation it covers 16 clock pulse

 and if it starts from state 6 ,it goes to state 6 again 

After 2 rotation it covers 32 states and comes state 6 again

Now, 5 state remaining 6-> 5-> 4-> 3-> 2-> 1

So, 1 will be 37 th state