$(20$ pts$)$ LEDs $($Light Emitting Diodes$)$

Three LEDs $($one Red, one Green, one Blue$)$ turn on when a decimal number $0-7[3($x$,$y$,$z$)$

binary bits are required$]$ is passed through. Red turns on with even numbers, Green turns on

with odd numbers, Blue turns on with multiples of $3.$ Zero means they are all off, seven means

they are all on$.($all output numbers should be in binary$)$

Set$-$up the appropriate truth table, simplify using K$-$maps. Implement, using LogiSim,

the simplified logic circuit with optimal number of logic gates.