Solution

You are presented a logic grid, where you have a bunch of gates and you should figure out their operations. There are 4 different gate types with operations (and one gate indicating a color). Their operations are rotate RGB to GBR, add each RBG channel together (R+R, G+G, B+B), get the difference between the channels, and multiply the channels. The operation gates can also have colors, in which they then indicate what channel it affects. E.g. a red add gate, returns (R+R, G, B). An entry point to solve this is to look at the upper two gates, where they only affect the red channels. You can realize that by seeing the other channels are exactly the same as inputs for them. There, for the red channel, you get the equation system ((2 ? 24) ? 2) = 54. You can then figure out the operations (plus and multiply) and continue from that. Solving the grid then gives the colors c14551 and c1571c. Looking at them as leetspeak, you get the final answer classicistic.