Question

Переведите 586 из 16-типричной в 2-ичную,8-ричную, 10-ричную,4-тичную АВСиз 16-тиричной в 2-ичную,8-ричную и 10-ричную 831 из 8-ричной в 2-ичную,16-ричную и в 10-ричную 1100111 из 2 в 8-ричную,16-ричную и 10-ричнуую

Answer 1

Чтобы перевести в 2, 16, 8 системы нужно делить в столбик до наименьшего ответа и остатка, затем записываем последний ответ и остатки справа на лево. а в десятичную на фото второй пример, в конце посчитать

Answer 2

Converting from Base-16 to Base-2, Base-8, Base-10, and Base-4

To convert a number from base-16 (hexadecimal) to other bases, we can follow these steps:

1. Convert the base-16 number to base-10 (decimal). 2. Convert the base-10 number to the desired base.

Let's convert the number 586 from base-16 to base-2, base-8, base-10, and base-4.

# Converting from Base-16 to Base-2 (Binary)

To convert 586 from base-16 to base-2, we first convert it to base-10 and then to base-2.

1. Convert 586 from base-16 to base-10: - 586(base-16) = 1414(base-10) [[1]]

2. Convert 1414 from base-10 to base-2: - 1414(base-10) = 10110010110(base-2) [[1]]

Therefore, 586(base-16) is equal to 10110010110(base-2).

# Converting from Base-16 to Base-8 (Octal)

To convert 586 from base-16 to base-8, we first convert it to base-10 and then to base-8.

1. Convert 586 from base-16 to base-10: - 586(base-16) = 1414(base-10) [[1]]

2. Convert 1414 from base-10 to base-8: - 1414(base-10) = 2532(base-8) [[1]]

Therefore, 586(base-16) is equal to 2532(base-8).

# Converting from Base-16 to Base-10 (Decimal)

To convert 586 from base-16 to base-10, we can directly convert it to base-10.

- 586(base-16) = 1414(base-10) [[1]]

Therefore, 586(base-16) is equal to 1414(base-10).

# Converting from Base-16 to Base-4 (Quaternary)

To convert 586 from base-16 to base-4, we first convert it to base-10 and then to base-4.

1. Convert 586 from base-16 to base-10: - 586(base-16) = 1414(base-10) [[1]]

2. Convert 1414 from base-10 to base-4: - 1414(base-10) = 102202(base-4) [[1]]

Therefore, 586(base-16) is equal to 102202(base-4).

Converting from Base-8 to Base-2, Base-16, and Base-10

To convert a number from base-8 (octal) to other bases, we can follow these steps:

1. Convert the base-8 number to base-10 (decimal). 2. Convert the base-10 number to the desired base.

Let's convert the number 831 from base-8 to base-2, base-16, and base-10.

# Converting from Base-8 to Base-2 (Binary)

To convert 831 from base-8 to base-2, we first convert it to base-10 and then to base-2.

1. Convert 831 from base-8 to base-10: - 831(base-8) = 545(base-10) [[2]]

2. Convert 545 from base-10 to base-2: - 545(base-10) = 1000100001(base-2) [[2]]

Therefore, 831(base-8) is equal to 1000100001(base-2).

# Converting from Base-8 to Base-16 (Hexadecimal)

To convert 831 from base-8 to base-16, we first convert it to base-10 and then to base-16.

1. Convert 831 from base-8 to base-10: - 831(base-8) = 545(base-10) [[2]]

2. Convert 545 from base-10 to base-16: - 545(base-10) = 221(base-16) [[2]]

Therefore, 831(base-8) is equal to 221(base-16).

# Converting from Base-8 to Base-10 (Decimal)

To convert 831 from base-8 to base-10, we can directly convert it to base-10.

- 831(base-8) = 545(base-10) [[2]]

Therefore, 831(base-8) is equal to 545(base-10).

Converting from Base-2 to Base-8, Base-16, and Base-10

To convert a number from base-2 (binary) to other bases, we can follow these steps:

1. Convert the base-2 number to base-10 (decimal). 2. Convert the base-10 number to the desired base.

Let's convert the number 1100111 from base-2 to base-8, base-16, and base-10.

# Converting from Base-2 to Base-8 (Octal)

To convert 1100111 from base-2 to base-8, we first convert it to base-10 and then to base-8.

1. Convert 1100111 from base-2 to base-10: - 1100111(base-2) = 103(base-10) [[3]]

2. Convert 103 from base-10 to base-8: - 103(base-10) = 147(base-8) [[3]]

Therefore, 1100111(base-2) is equal to 147(base-8).

# Converting from Base-2 to Base-16 (Hexadecimal)

To convert 1100111 from base-2 to base-16, we first convert it to base-10 and then to base-16.

1. Convert 1100111 from base-2 to base-10: - 1100111(base-2) = 103(base-10) [[3]]

2. Convert 103 from base-10 to base-16: - 103(base-10) = 67(base-16) [[3]]

Therefore, 1100111(base-2) is equal to 67(base-16).

# Converting from Base-2 to Base-10 (Decimal)

To convert 1100111 from base-2 to base-10, we can directly convert it to base-10.

- 1100111(base-2) = 103(base-10) [[3]]

Therefore, 1100111(base-2) is equal to 103(base-10).

Conclusion

Here are the conversions for the given numbers:

- 586(base-16) is equal to: - 10110010110(base-2) - 2532(base-8) - 1414(base-10) - 102202(base-4)

- 831(base-8) is equal to: - 1000100001(base-2) - 221(base-16) - 545(base-10)

- 1100111(base-2) is equal to: - 147(base-8) - 67(base-16) - 103(base-10)

Please let me know if there's anything else I can help you with!