Concept
Which base-conversion claims require calculating the exact value?
Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1
"4. If I told you that the decimal number 2022 was equal to 1231₆, would you call me a liar without even having to think too hard? No, you shouldn’t, because you do have to think hard for this one. As it happens, I am a liar (the true answer is 1321₆), but there’s no easy way to know that at a glance.\n\n5. If I told you that the decimal number 2022 was equal to 7E₁₆, would you call me a liar without even having to think too hard? No, you shouldn’t, because you do have to think hard for this one. (And in fact, it’s correct! Work it out.)"
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