The following algorithm is used to find the integer square root for an input integer number $x$

$[$ Ex$1$: if $n\{4,5,6,7,8\},$ then the result integer square root $Y=2]$

$[$ Ex$2$: if xin$\{9,10,11,12,13,14,15\},$ then the result integer square root $Y=3]$

Complete the following Verilog code to provide a behavioral implementation for this algorithm.

module SQRT$\_$Calculator $($

input CLK$,$

input $[9$:$0]x,$

output reg $[4$:$0]Y$

;

Your design should include the following pins:

CLK: $($negative edge trigger input clock$)$

$x$ : The input number $(10$ bits$)$

$Y$: The result square root $(5$ bits$)$

$($Hint: define the variables A$,$ B$,$ and $Q$ to be of size $11)$