$3.$ Please explain all parts $(\backslash (\backslash$mathrm$\{$A$\},\backslash$mathrm$\{$B$\}\backslash )$ and C $)$ of the following VHDL code and what it does.

A$.)$

library IEEE;

use IEEE.std$\_$logic$\_1164.$all;

B$.)$

entity ImaginaryLogicGate is

port $($

data$\_$in : in std$\_$logic$\_$vector$(7$ downto $0)$;

sel : in std$\_$logic$\_$vector$(2$ downto $0\backslash ()\backslash )$;

data$\_$out: out std$\_$logic

$)$;

end ImaginaryLogicGate;

C$.)$

architecture rtl of ImaginaryLogicGate is begin

process$($data$\_$in$,$ sel$)$

begin

case sel is

when $"000"\backslash (=>\backslash )$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(0)$;

when $"001"\backslash (\backslash$Rightarrow$>\backslash )$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(1)$;

when $"010"=>$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(2)$;

when $"011"=>$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(3)$;

when $"100"\backslash (\backslash$Rightarrow$>\backslash )$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(4)$;

when $"101"=>$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(5)$;

when $"110"\backslash (=>\backslash )$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(6)$;

when $"111"=>$ data$\_$out $\backslash (<=\backslash )$ data$\_$in$(7)$;

when others $=>$ data$\_$out $\backslash (<=\backslash )\text{'}0\text{'}$;

end case;

end process;

end rtl ;