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TVictoria
@TVictoria
July 2022
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Найдите все десятичные числа, не превосходящие 40, запись которых в системе счисления с основанием 4 оканчивается на 11
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Pelageya
X = 4y + 1
y = 4z + 1
x = 4 * (4z + 1) + 1 = 16z + 4 + 1 = 16z + 5
z = 0; x = 16 * 0 + 5 = 5
z = 1; x = 16 * 1 + 5 = 21
z = 2; x = 16 * 2 + 5 = 37
Ответ: 5, 21, 37.
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Answers & Comments
y = 4z + 1
x = 4 * (4z + 1) + 1 = 16z + 4 + 1 = 16z + 5
z = 0; x = 16 * 0 + 5 = 5
z = 1; x = 16 * 1 + 5 = 21
z = 2; x = 16 * 2 + 5 = 37
Ответ: 5, 21, 37.