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 Which is $5$ seconds$)$

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$.$

$\backslash$table$[[\frac{?}{\text{b}\text{a}\text{r}}($ Gat$\frac{e}{\text{I}}D),|0|1|2|3|4|,\backslash$table$[[5,6]],778,],[\frac{?}{\text{b}\text{a}\text{r}}(INV),,4,,+12],[$AND$,\backslash$table$[[2,3,3]],\backslash$table$[[5],[5]],56,67],[\frac{?}{\text{b}\text{a}\text{r}}(OR),2|3|4|4|4||,\backslash$table$[[5,5]],56,\backslash$table$[[6,7]]],[$NAND$,3|4|4|5|6||,\backslash$table$[[7,8]],69,7],[$NOR$,334|5|5|6|,\backslash$table$[[78],[78]],66,78],[$XOR$,445|6|7|8|,\backslash$table$[[9,10]],,10|9|$