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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 Both sides previous revision Previous revision 2020/04/29 20:16 jgleas15 2020/04/29 17:59 jgleas15 2020/04/29 17:28 jgleas15 2020/04/23 07:18 external edit 2020/04/29 20:16 jgleas15 2020/04/29 17:59 jgleas15 2020/04/29 17:28 jgleas15 2020/04/23 07:18 external edit Line 22: Line 22: - + 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 