Умножить 111111000101010(2) на 110010100110(8) = 1000110111110111010000100011110000111101111010000 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 110010100110₈ в 2-ричную систему счисления вот так:

Выполним перевод в десятичную систему счисления вот так:

1∙8¹¹+1∙8¹⁰+0∙8⁹+0∙8⁸+1∙8⁷+0∙8⁶+1∙8⁵+0∙8⁴+0∙8³+1∙8²+1∙8¹+0∙8⁰ = 1∙8589934592+1∙1073741824+0∙134217728+0∙16777216+1∙2097152+0∙262144+1∙32768+0∙4096+0∙512+1∙64+1∙8+0∙1 = 8589934592+1073741824+0+0+2097152+0+32768+0+0+64+8+0 = 9665806408₁₀

Получилось: 110010100110₈ =9665806408₁₀

Переведем число 9665806408₁₀ в двоичное вот так:

Целая часть числа находится делением на основание новой системы счисления:

9665806408	2
-9665806408	4832903204	2
0	-4832903204	2416451602	2
	0	-2416451602	1208225801	2
		0	-1208225800	604112900	2
			1	-604112900	302056450	2
				0	-302056450	151028225	2
					0	-151028224	75514112	2
						1	-75514112	37757056	2
							0	-37757056	18878528	2
								0	-18878528	9439264	2
									0	-9439264	4719632	2
										0	-4719632	2359816	2
											0	-2359816	1179908	2
												0	-1179908	589954	2
													0	-589954	294977	2
														0	-294976	147488	2
															1	-147488	73744	2
																0	-73744	36872	2
																	0	-36872	18436	2
																		0	-18436	9218	2
																			0	-9218	4609	2
																				0	-4608	2304	2
																					1	-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:

9665806408₁₀ = 1001000000001000001000000001001000₂

Ответ: 110010100110₈ = 1001000000001000001000000001001000₂

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Ответ: 111111000101010₂ * 110010100110₈ = 1000110111110111010000100011110000111101111010000₂

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