In the 90s, there were papers on emulating logical circuits with neurons. They would be bigger than this network, but at least always correct.
You might find https://corticallabs.com/cl1.html interesting (that's of course assuming this is not a scam, which I'm unable to assess).
You might find https://corticallabs.com/cl1.html interesting (that's of course assuming this is not a scam, which I'm unable to assess).