Q$2$ Groups of four bits $[20$ points$]$

A group of four bits is called a nibble. In this question your task is to write a function make$\_$nibbles that takes a string containing bits $($digits $0$ & $1)$ and returns a new string where bits are grouped into nibbles separated by a space, adding extra zeros on left, if necessary, to make the string length a multiple of $4.$

Example: $"101100"->"00101100"$

nibbles $=$ make$\_$nibbles$("101100")$

print$($nibbles$)$

print$($type$($nibbles$))$

Output:

$00101100$

$($Note that padding a binary number with zeros on left does not change its value. We are padding zeros just to make the length a multiple of $4$ so that we can make groups of four bits. This makes reading a long binary number a bit easier.$)$

Logic

The function make$\_$nibbles should do the following:

First add extra zeros on the left of the argument string bits to create a padded$\_$string whose length is a multiple of $4.$ Hint: you can use len$()$ function and remainder operator $\%$ to figure out how many zeros should be added. For example, for $"11011",3$ zeros are need to make its length $8$: $"00011011"$ but for $"1010111"$ only $1$ zero is needed: $"01010111".$

Build a new string result using a loop $$ basically copy each bit from padded$\_$string to result but after every $4$th bit, add a space to result string. Hint: you can use remainder operator $\%$ here as well for the "every $4$th bit" part of the logic.

Return the result string

More examples

print$($make$\_$nibbles$("11011"))$ # $00011011$

print$($make$\_$nibbles$("1101001011"))$ # $001101001011$

# No zero padding needed as length is already a multiple of $4$:

print$($make$\_$nibbles$("1101"))$ # $1101$

Assume that the length of argument string will be at least one i$.$e$.$ it won't be an empty string. But there is no upper limit on the length.

It is okay if there are extra spaces at beginning or end of the result string e$.$g$."00110100"$ or $"00110100"$ is fine. But extra spaces or incorrect spaces between bits are not acceptable e$.$g$."00110100"$ or $"001101001"$ are incorrect.