NoVIcE has already addressed all matters of importance so all I have left to do is leave my +1 :P
NoVIcE: it will definitely run DOOM
this instructions ROM just replaces the manual operation of the components (in your case the red buttons write/block/add etc) with pre-written "code" instructions that are executed automatically one at a time. A program. The "lines of code", are executed from first to last, via a instruction pointer, that is moved to the text instruction after executuon. You can make a special instruction that changes the pointer position to another one. Now it can run crysis (technically)
Actually the only difference between a calculator and a computer (btw their names mean exactly the same) is that computers have lots of memory, and have instructions that are executed automatically. So basically to make this a fully-fledged computer, you should rewire it a bit to make it have more memory cells (e.g 16, it now has only 1), and make another ROM memory dedicated to instructions.
Super_science555: lol u dumb
Way better than my first (and currently only) computer. And btw @Super_science555 There can be 3-bit computers, or even 1-bit ones. Binary (base-2) works as any other base, such as base-10. The "bits" are just digits, computers can work with any amount of them. Saying a computer is x-bit just says how far it can count. If we had wire that could be powered in more than one way we could have a computer that counts in base-3 or whatever. There are no limitations to the amount of bits in a computer.
Super_science555: that makes no sense, you are only talking about common architectures, not what is possible. +1 cool save anyway
theres no such thing as 4 bit it goes up in 8 like 8 bit 16 bit and 24 and 32 bit -1 for that i work with computers.