RGB LEDs

Three light-emitting diodes [LEDs] (one red, one green, one blue) turn on when a number 0-7 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.

i. What is the size of the initial (unsimplified) ROM ?

ii. What is the size of the final (simplified) ROM ?

iii. Show in detail the final memory layout.