counter ques

Question

Using four cascaded counters with a total of 16 bits, how many states must be deleted to achieve a modulus of 50,000?
A. 50,000
B. 65,536
C. 25,536
D. 15,536

Answer 1

Here we have 4 cascaded counter of total of 16 bits..So it is equivalent to 16 bit ripple counter..

Hence ripple counter of 16 bit has modulus value  =  2¹⁶

                                                                         = 65536

Hence to get modulus value of 50000 , no of states which must be deleted = Max no of state possible - 50000

                                                                                                             = 15536

Hence D)  is the correct answer

Comments

4 cascaded counter means 4  counter join serially ?

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check thiz https://gateoverflow.in/100979/ace-self-dual

I think answer is B

Answer 2

D)15536