Gregory's Server@david_chisnall @zebratale @carbontwelve
"do make mistakes" I wouldn't call that a mistake. The calculator does what it should do according to the spec how to approximate real numbers with a finite number of bits.
It's (as you explain) a rounding error. A "mistake" is what Pentiums with the famous Pentium bug made.
But maybe it's my understanding of English (as a second language) that is at fault here.
@glitzersachen @david_chisnall @zebratale @carbontwelve the calculator /is/ doing exactly what it's been programmed to... and it is programmed to make specific and defined "mistakes" or errors in predictable and clear cut ways in order to make the pocket calculator run on as little power as possible.
An LLM, likewise, is also doing exactly what it was programmed to do... and that is to spew regurgitated nonsense it read off the internet.