Your task is to create a library element that has the following appearance

The multiplier has two inputs: the multiplier $x$ which is $4$ bits, and the multiplicand $y$ which is generic $(n$ bits$).$ Also it has one output called res which is $(n+4)$ bits. The inputs and the output are fed through flip$-$flops.

The multiplier is to be built structurally from a library of gates, which contains the following devices and delays in nanosecond $($ns$).($Your delay depends on the least significant digit of your student ID which is $5$ seconds $.$