Let X be the set of binary numbers $0$ through $111(7),$ and let X be defined as follows in this table. G:$\{0,1\}3->\{0,1\}3.$

X $->$ G$($X$)$

$000->000$

$001->001$

$010->011$

$011->010$

$100->110$

$101->111$

$110->101$

$111->100$

Convert the decimal number $3$ into binary, applying G$,$ and then convert the value back to decimal,what is the output of G$($X$)?$