Умножить 11010100111(2) на 11011101001(8) = 11101111111101010110111001101010010100111 Столбиком

Введите два числа и укажите их основание системы счиления:

Вы ввели числа в различных системах счисления. Однако в расчете могут участвовать числа только в одинаковых системах счисления. Мы переведём второе число 11011101001₈ в 2-ричную систему счисления вот так:

Выполним перевод в десятичную систему счисления вот так:

1∙8¹⁰+1∙8⁹+0∙8⁸+1∙8⁷+1∙8⁶+1∙8⁵+0∙8⁴+1∙8³+0∙8²+0∙8¹+1∙8⁰ = 1∙1073741824+1∙134217728+0∙16777216+1∙2097152+1∙262144+1∙32768+0∙4096+1∙512+0∙64+0∙8+1∙1 = 1073741824+134217728+0+2097152+262144+32768+0+512+0+0+1 = 1210352129₁₀

Получилось: 11011101001₈ =1210352129₁₀

Переведем число 1210352129₁₀ в двоичное вот так:

Целая часть числа находится делением на основание новой системы счисления:

1210352129	2
-1210352128	605176064	2
1	-605176064	302588032	2
	0	-302588032	151294016	2
		0	-151294016	75647008	2
			0	-75647008	37823504	2
				0	-37823504	18911752	2
					0	-18911752	9455876	2
						0	-9455876	4727938	2
							0	-4727938	2363969	2
								0	-2363968	1181984	2
									1	-1181984	590992	2
										0	-590992	295496	2
											0	-295496	147748	2
												0	-147748	73874	2
													0	-73874	36937	2
														0	-36936	18468	2
															1	-18468	9234	2
																0	-9234	4617	2
																	0	-4616	2308	2
																		1	-2308	1154	2
																			0	-1154	577	2
																				0	-576	288	2
																					1	-288	144	2
																						0	-144	72	2
																							0	-72	36	2
																								0	-36	18	2
																									0	-18	9	2
																										0	-8	4	2
																											1	-4	2	2
																												0	-2	1
																													0

В результате преобразования получилось:

1210352129₁₀ = 1001000001001001000001000000001₂

Ответ: 11011101001₈ = 1001000001001001000001000000001₂

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Ответ: 11010100111₂ * 11011101001₈ = 11101111111101010110111001101010010100111₂

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