First, split the given series of n numbers into two parts, each consisting of n/2 numbers. After that, recursively split the series into two parts until each number acts as an independent series. Therefore, the independent numbers are first sorted and recursively merged until a sorted series of n numbers is not achieved.

In order to do the above-mentioned task, there will be two types of circuits which would be used in the following manner: the first one for sorting and second one for merging the sorted list of numbers.