Question

Как переводить число в 16-ичную систему

Answer 1

Из какой системы переводить?

Answer 2

Converting a Number to Base-16 (Hexadecimal) System

To convert a number to the base-16 (hexadecimal) system, you can follow these steps:

1. Divide the number by 16 and note down the remainder. 2. Repeat step 1 with the quotient obtained in the previous step until the quotient becomes zero. 3. Convert the remainders obtained in step 1 to their corresponding hexadecimal digits. For remainders greater than 9, use the letters A, B, C, D, E, and F to represent the digits 10, 11, 12, 13, 14, and 15, respectively. 4. Write the hexadecimal digits obtained in step 3 in reverse order to get the hexadecimal representation of the number.

Let's go through an example to illustrate the process:

Example: Convert the decimal number 255 to base-16 (hexadecimal) system.

1. Divide 255 by 16: - Quotient: 15 - Remainder: 15 (F in hexadecimal)

2. Since the quotient is not zero, repeat step 1 with the quotient: - Divide 15 by 16: - Quotient: 0 - Remainder: 15 (F in hexadecimal)

3. Convert the remainders to hexadecimal digits: - The remainders are 15 and 15, which correspond to the hexadecimal digits F and F, respectively.

4. Write the hexadecimal digits in reverse order: - The hexadecimal representation of 255 is FF.

Therefore, the decimal number 255 is equivalent to FF in the base-16 (hexadecimal) system.

Python Example

If you want to convert a number to base-16 (hexadecimal) in Python, you can use the built-in `hex()` function. Here's an example:

decimal_number = 255
hexadecimal_number = hex(decimal_number)
print(hexadecimal_number)  # Output: 0xff

In the above example, the `hex()` function converts the decimal number 255 to its hexadecimal representation, which is `'0xff'`.

Please note that the `hex()` function returns the hexadecimal representation as a string prefixed with `'0x'`.

I hope this helps! Let me know if you have any further questions.