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If January 1st this year was 14 and October 1st will be 26 then which date this year will equate to 62 in the same context?

Jan 1st can be shown as 010110 and Oct 1st as 011001. I haven't checked it but my guess is that these are the binary numbers for 14 and 26. If that is correct then the answer is whatever the binary number is for 62 - which will then presumably translate to a date. I'd be interested to know if you confirm if that is right.

Try binary!

definitely binary 11th November (111110)

14 in binary is 1110, but the answer is ok.
010110 would be 16+4+2=22.