journal:spring2020:jgleas15:week13

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journal:spring2020:jgleas15:week13 [2020/04/29 17:59] jgleas15 |
journal:spring2020:jgleas15:week13 [2020/04/29 20:16] (current) jgleas15 |
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- | | + | Right away we can see that R = 1 since RCREPB x R = RCREPB, N ext we can also see that C must = 0 since P - P = C and B - B = C with no borrowing taking place so C = 0 |

+ | | ||

+ | Now we can look at C - H = H where C must be borrowing so in base 8 it is (0 + 10) - H = H so that means H = 4 | ||

+ | | ||

+ | Next knowing this we can look at H - C = V where H must be being borrowed by B meaning B << V and that V < H so V = 3 and B must = 2 | ||

+ | | ||

+ | Now we can look at P - H = R where we know P is being borrowed from so it is really (P - 1) - 4 = 1 so P = 6 | ||

+ | | ||

+ | Knowing this we can look at V - E = P where we know that V is borrowing so in base 8 it is (3 + 10) - E = 6 so therefor E = 5 which leaves Z to = 7 | ||

+ | | ||

+ | So we have | ||

+ | | ||

+ | 0 = C | ||

+ | | ||

+ | 1 = R | ||

+ | | ||

+ | 2 = B | ||

+ | | ||

+ | 3 = V | ||

+ | | ||

+ | 4 = H | ||

+ | | ||

+ | 5 = E | ||

+ | | ||

+ | 6 = P | ||

+ | | ||

+ | 7 = Z | ||

+ | | ||

+ | We verify the values by plugging in the numbers | ||

+ | | ||

+ | | ||

+ | | ||

+ | 112 | ||

+ | __________ | ||

+ | 101562 | 11436200 | ||

+ | -101562 | ||

+ | ====== | ||

+ | 126000 | ||

+ | -101562 | ||

+ | ====== | ||

+ | 242160 | ||

+ | -203344 | ||

+ | ====== | ||

+ | 36614 | ||

journal/spring2020/jgleas15/week13.txt · Last modified: 2020/04/29 20:16 by jgleas15

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