Умножить 1011101110111011(2) на 101010101010(16) = 101111000111011101110111011101110111011101110110101110110000 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 101010101010₁₆ в 2-ричную систему счисления вот так:

Выполним перевод в десятичную систему счисления вот так:

1∙16¹¹+0∙16¹⁰+1∙16⁹+0∙16⁸+1∙16⁷+0∙16⁶+1∙16⁵+0∙16⁴+1∙16³+0∙16²+1∙16¹+0∙16⁰ = 1∙17592186044416+0∙1099511627776+1∙68719476736+0∙4294967296+1∙268435456+0∙16777216+1∙1048576+0∙65536+1∙4096+0∙256+1∙16+0∙1 = 17592186044416+0+68719476736+0+268435456+0+1048576+0+4096+0+16+0 = 17661175009296₁₀

Получилось: 101010101010₁₆ =17661175009296₁₀

Переведем число 17661175009296₁₀ в двоичное вот так:

Целая часть числа находится делением на основание новой системы счисления:

17661175009296	2
-17661175009296	8830587504648	2
0	-8830587504648	4415293752324	2
	0	-4415293752324	2207646876162	2
		0	-2207646876162	1103823438081	2
			0	-1103823438080	551911719040	2
				1	-551911719040	275955859520	2
					0	-275955859520	137977929760	2
						0	-137977929760	68988964880	2
							0	-68988964880	34494482440	2
								0	-34494482440	17247241220	2
									0	-17247241220	8623620610	2
										0	-8623620610	4311810305	2
											0	-4311810304	2155905152	2
												1	-2155905152	1077952576	2
													0	-1077952576	538976288	2
														0	-538976288	269488144	2
															0	-269488144	134744072	2
																0	-134744072	67372036	2
																	0	-67372036	33686018	2
																		0	-33686018	16843009	2
																			0	-16843008	8421504	2
																				1	-8421504	4210752	2
																					0	-4210752	2105376	2
																						0	-2105376	1052688	2
																							0	-1052688	526344	2
																								0	-526344	263172	2
																									0	-263172	131586	2
																										0	-131586	65793	2
																											0	-65792	32896	2
																												1	-32896	16448	2
																													0	-16448	8224	2
																														0	-8224	4112	2
																															0	-4112	2056	2
																																0	-2056	1028	2
																																	0	-1028	514	2
																																		0	-514	257	2
																																			0	-256	128	2
																																				1	-128	64	2
																																					0	-64	32	2
																																						0	-32	16	2
																																							0	-16	8	2
																																								0	-8	4	2
																																									0	-4	2	2
																																										0	-2	1
																																											0

В результате преобразования получилось:

17661175009296₁₀ = 100000001000000010000000100000001000000010000₂

Ответ: 101010101010₁₆ = 100000001000000010000000100000001000000010000₂

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Ответ: 1011101110111011₂ * 101010101010₁₆ = 101111000111011101110111011101110111011101110110101110110000₂

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