If a demultiplexer has 64 data outputs how many control inpu

If a demultiplexer has 64 data outputs, how many control inputs it has: how many data inputs it has:

Solution

Ans)

The number of data inputs is : 1
The number of control inputs is: 6

Explanation:
A demultiplexer is the one which takes 1 input and produces N outputs.A demultiplexer is a combinational logic circuit that receives the information on a single input and transmits the same information over one of N possible output lines.

Here we have given that a demultiplexer has 64 outputs. Which means the demultiplexer always have a single input line.So the number of input lines for a given demultiplexer is 64.
Control bits are used to direct from input to the output.The number of control lines are choosen for a given outputs are \'ceil(log N)\' .
Here N=64
so keeping N=64 in ceil(log N)
we get ceil(log 64)
   =ceil(log 2^6)
   = 6
     
   So, the number of control inputs for given demultiplexer is 6.