Умножить 00100000010101010011(2) на 110001000011(8) = 00100100011000000001011010101010111100010111111101011 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 110001000011₈ в 2-ричную систему счисления вот так:

Выполним перевод в десятичную систему счисления вот так:

1∙8¹¹+1∙8¹⁰+0∙8⁹+0∙8⁸+0∙8⁷+1∙8⁶+0∙8⁵+0∙8⁴+0∙8³+0∙8²+1∙8¹+1∙8⁰ = 1∙8589934592+1∙1073741824+0∙134217728+0∙16777216+0∙2097152+1∙262144+0∙32768+0∙4096+0∙512+0∙64+1∙8+1∙1 = 8589934592+1073741824+0+0+0+262144+0+0+0+0+8+1 = 9663938569₁₀

Получилось: 110001000011₈ =9663938569₁₀

Переведем число 9663938569₁₀ в двоичное вот так:

Целая часть числа находится делением на основание новой системы счисления:

9663938569	2
-9663938568	4831969284	2
1	-4831969284	2415984642	2
	0	-2415984642	1207992321	2
		0	-1207992320	603996160	2
			1	-603996160	301998080	2
				0	-301998080	150999040	2
					0	-150999040	75499520	2
						0	-75499520	37749760	2
							0	-37749760	18874880	2
								0	-18874880	9437440	2
									0	-9437440	4718720	2
										0	-4718720	2359360	2
											0	-2359360	1179680	2
												0	-1179680	589840	2
													0	-589840	294920	2
														0	-294920	147460	2
															0	-147460	73730	2
																0	-73730	36865	2
																	0	-36864	18432	2
																		1	-18432	9216	2
																			0	-9216	4608	2
																				0	-4608	2304	2
																					0	-2304	1152	2
																						0	-1152	576	2
																							0	-576	288	2
																								0	-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:

9663938569₁₀ = 1001000000000001000000000000001001₂

Ответ: 110001000011₈ = 1001000000000001000000000000001001₂

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Ответ: 00100000010101010011₂ * 110001000011₈ = 00100100011000000001011010101010111100010111111101011₂

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