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Topic Powers of 2

Question

What is 2¹⁵, and what limit does it mark?

Answer

32768 — the number of non-negative values in a signed 16-bit integer, whose range is −32768…32767.

The moon in a cage overgrown with ivy — the pegs moon (32), cage (76), ivy (8) for 32768.

Chunk 32768 → 32 · 76 · 8 → moon · cage · ivy: the moon locked in a cage overgrown with ivy. A signed 16-bit short maxes out at +32767 because one of its 65536 values is spent on the sign; 2¹⁵ = 32768 is that halfway mark.

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Topic Double-Digit Pegs — Reverse (word → number)

Question

peg image

Answer

76.

cage — the double-digit peg.

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