Умножить 111110010,011101011100001010001(2) на 1000011100,10001111010111000010(4) = 111110011000110010111000001.110010010110000010010010101000100000000000 Столбиком

Калькулятор чисел в различных системах счисления.

Сложение, вычитание, умножение и деление чисел столбиком. Причём числа могут быть введены в различных системах счисления.

Калькулятор
Инструкция
Теория
История
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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 1000011100.10001111010111000010₄ в 2-ричную систему счисления вот так:

Выполним перевод в десятичную систему счисления вот так:

1∙4⁹+0∙4⁸+0∙4⁷+0∙4⁶+0∙4⁵+1∙4⁴+1∙4³+1∙4²+0∙4¹+0∙4⁰+1∙4^-1+0∙4^-2+0∙4^-3+0∙4^-4+1∙4^-5+1∙4^-6+1∙4^-7+1∙4^-8+0∙4^-9+1∙4^-10+0∙4^-11+1∙4^-12+1∙4^-13+1∙4^-14+0∙4^-15+0∙4^-16+0∙4^-17+0∙4^-18+1∙4^-19+0∙4^-20 = 1∙262144+0∙65536+0∙16384+0∙4096+0∙1024+1∙256+1∙64+1∙16+0∙4+0∙1+1∙0.25+0∙0.0625+0∙0.015625+0∙0.00390625+1∙0.0009765625+1∙0.000244140625+1∙6.103515625E-5+1∙1.52587890625E-5+0∙3.814697265625E-6+1∙9.5367431640625E-7+0∙2.3841857910156E-7+1∙5.9604644775391E-8+1∙1.4901161193848E-8+1∙3.7252902984619E-9+0∙9.3132257461548E-10+0∙2.3283064365387E-10+0∙5.8207660913467E-11+0∙1.4551915228367E-11+1∙3.6379788070917E-12+0∙9.0949470177293E-13 = 262144+0+0+0+0+256+64+16+0+0+0.25+0+0+0+0.0009765625+0.000244140625+6.103515625E-5+1.52587890625E-5+0+9.5367431640625E-7+0+5.9604644775391E-8+1.4901161193848E-8+3.7252902984619E-9+0+0+0+0+3.6379788070917E-12+0 = 262480.25129802897936₁₀

Получилось: 1000011100.10001111010111000010₄ =262480.25129802897936₁₀

Переведем число 262480.25129802897936₁₀ в двоичное вот так:

Целая часть числа находится делением на основание новой системы счисления:

262480	2
-262480	131240	2
0	-131240	65620	2
	0	-65620	32810	2
		0	-32810	16405	2
			0	-16404	8202	2
				1	-8202	4101	2
					0	-4100	2050	2
						1	-2050	1025	2
							0	-1024	512	2
								1	-512	256	2
									0	-256	128	2
										0	-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

Дробная часть числа находится умножением на основание новой системы счисления:


	0.	25129802897936*2
	0	.5026*2
	1	.005*2
	0	.01038*2
	0	.02077*2
	0	.04154*2
	0	.08307*2
	0	.1661*2
	0	.3323*2
	0	.6646*2
	1	.329*2

В результате преобразования получилось:

262480.25129802897936₁₀ = 1000000000101010000.0100000001₂

Ответ: 1000011100.10001111010111000010₄ = 1000000000101010000.0100000001₂

x																																							1	1	1	1	1	0	0	1	0	.	0	1	1	1	0	1	0	1	1	1	0	0	0	0	1	0	1	0	0	0	1
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						0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
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				0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
			0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
		0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
	1	1	1	1	1	0	0	1	0	0	1	1	1	0	1	0	1	1	1	0	0	0	0	1	0	1	0	0	0	1
	1	1	1	1	1	0	0	1	1	0	0	0	1	1	0	0	1	0	1	1	1	0	0	0	0	0	1.	1	1	0	0	1	0	0	1	0	1	1	0	0	0	0	0	1	0	0	1	0	0	1	0	1	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0

Ответ: 111110010.011101011100001010001₂ * 1000011100.10001111010111000010₄ = 111110011000110010111000001.110010010110000010010010101000100000000000₂

Этот калькулятор умеет осуществлять простейшие арифметические операции над числами. Причем числа могут быть введены в разных системах счисления.

Последние 20 расчетов на этом калькуляторе

Сообщите нам о возникшей проблеме в результате расчета на этом калькуляторе.

После проведения расчета нажмите на кнопочку "Расчет не верен" если Вы обнаружили ошибку. Или нажмите "расчет верный" если ошибок нет.

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x																																							1	1	1	1	1	0	0	1	0	.	0	1	1	1	0	1	0	1	1	1	0	0	0	0	1	0	1	0	0	0	1
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+																																								0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
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																																			0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
																																		0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
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x																													1	0	0	0	0	0	0	0	0	0	1	0	1	0	1	0	0	0	0	.	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
+																																								0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
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