8/ Now adjust the sliders to specify the second number, 12. Rotate the operating handle again. The black accumulator field now holds 21 (9 + 12). The white operation counter field now holds 2. You can guess how to add a third number!
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19/ EXCELLENT QUESTION ! Yes, there are a few reasons you might want to adjust the operations count. It turns out that there's a 2 position slider on the side for "regular op count increment" vs "REVERSED op count increment" ! https://twitter.com/DunsScottus/status/1210220268003741697 …
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20/ I intentionally only read half of the instruction manual because I wanted to figure out the advanced stuff on my own, as a puzzle. Hopping ahead, the way division works is to push the dividend into the accumulator, then start subtracting out the divisor. e.g. 17 / 4
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21/ So we clear the output, set 17 on the slider, crank it in, now the accumulator shows 17 and the opcount shows 1. We can clear the opcount by setting sliders to 0 and then pulling the stem to subtract and cranking once. Accumulator stays at 17, opcount is now 0 again.
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21/ OK, we're ready to go. Set the sliders to 4, slide the opcount reversing switch to "reverse" (so now we count subtractions as operations and additions as negative operations). Crank. Accumulator 13, opcount 1. Crank. Acc 9, op 2. Crank. Acc 5, op 3. Crank. Acc 1, op 4.
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22/ 17 / 4 = 4 (the opcount) remainder 1 (the accumulator).
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23/ Let's divide 100 / 3. Clear the accumulator and opcount. Crank in 100. Pull handle to subtract, adjust slides, subtract out 0. Acc = 100, op = 0. Set sliders to 3. So...we're going to have to crank this 33 times, right? No. Remember the order-of-magnitude ring.
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24/ First, adjust the opcount direction to reverse. Adjust the order-of-magnitude ring from 1 to 2 (so each crank is 10 ^ (2-1) = 10 operations). Crank. Accumulator = 70, op = 10 Crank. Acc = 40, op = 20 Crank. Acc = 10, op = 30 Adjust ring to 1 (10^(1-1) = 1)
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25/ Crank. Acc = 7, op = 31 Crank. Acc = 4, op = 32 Crank. Acc = 1, op = 33 100 / 3 = 33 remainder 1.
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26/ What happens if we weren't paying close attention and cranked one time too many? small brain: we've got the wrong answer medium brain: ...but we can fix it! Push the crank back to addition mode. Crank once We UNDO the extra subtraction, i.e. we UNDO both acc AND opcount
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27/ galaxy brain: but what EXACTLY happened when we subtracted 3 from 1? Can we learn something interesting about math? Answer: YES, WE CAN ! But I'm going to work on fiction writing now. I'll talk about 10s complement math later. Also, how all this reminds me of Hoon.
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