Trinity was my first test of making a computer in Minecraft. It was the result of several iterations of a design for an ALU, and took a long time to make.
ADD, JMP
The ALU is very simple in Trinity, as it only has an add function. This is made with the binary adders, shown in purple.
The memory uses D type flip-flops, which are made with redstone torches and repeaters.
The program counter is a 4 bit D flip-flop, used to store the current program location. The circuit behind it increments the program counter to advance the program.