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For addition I can see the binary addition at work. The ding "carries" if it get put in a ring that already has a ding by getting its own ring etc... For multip
by progre 5y ago
For addition I can see the binary addition at work. The ding "carries" if it get put in a ring that already has a ding by getting its own ring etc... For multiplication I just WAT
- whatshisface 5y agoTake a couple expanded algebraic representations of base-2 numbers: 1×2 + 1×4 + 0×8 + 1×16, 1×8 and substitute the second for every 1 in the first, 8×2 + 8×4 + 0×8 + 8×16 then finally un-distribute, (1×8)(1×2 + 1×4 + 0×8 + 1×16) and that's why putting small copies of the second number in the place of every "ding" in the first number results in multiplication.
- progre 5y agoOh yeah, thanks!