Умножить 1111110001010(2) на 1100100110(8) = 10001101111101001110011011101111011010000 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 1100100110₈ в 2-ричную систему счисления вот так:

Выполним перевод в десятичную систему счисления вот так:

1∙8⁹+1∙8⁸+0∙8⁷+0∙8⁶+1∙8⁵+0∙8⁴+0∙8³+1∙8²+1∙8¹+0∙8⁰ = 1∙134217728+1∙16777216+0∙2097152+0∙262144+1∙32768+0∙4096+0∙512+1∙64+1∙8+0∙1 = 134217728+16777216+0+0+32768+0+0+64+8+0 = 151027784₁₀

Получилось: 1100100110₈ =151027784₁₀

Переведем число 151027784₁₀ в двоичное вот так:

Целая часть числа находится делением на основание новой системы счисления:

151027784	2
-151027784	75513892	2
0	-75513892	37756946	2
	0	-37756946	18878473	2
		0	-18878472	9439236	2
			1	-9439236	4719618	2
				0	-4719618	2359809	2
					0	-2359808	1179904	2
						1	-1179904	589952	2
							0	-589952	294976	2
								0	-294976	147488	2
									0	-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:

151027784₁₀ = 1001000000001000000001001000₂

Ответ: 1100100110₈ = 1001000000001000000001001000₂

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Ответ: 1111110001010₂ * 1100100110₈ = 10001101111101001110011011101111011010000₂

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