How to convert decimal to hexadecimal

The steps to convert decimal to hexadecimal are to first convert the decimal part to the hexadecimal part, then convert the decimal integer part to the hexadecimal integer part, and finally convert the hexadecimal integer part The partial and fractional parts are combined together to get the final hexadecimal representation. Detailed introduction: 1. Convert the decimal part to a hexadecimal part, multiply the decimal part by 16, and use the integer part of the result as the first digit of the hexadecimal part. Multiply by 16 and so on.

The operating system for this tutorial: Windows 10 system, DELL G3 computer.

Converting decimal to hexadecimal is a common numerical conversion problem. In this article, we will detail how to convert decimal to hexadecimal and provide some examples to help readers better understand the process.

First, let’s review the basic concepts of decimal and hexadecimal. In the decimal system, we use numbers from 0 to 9 to represent numerical values. In the hexadecimal system, in addition to the numbers 0 to 9, the letters A to F are also used to represent the values ​​​​from 10 to 15.

To convert a decimal fraction to hexadecimal, we need to convert the decimal part to the decimal part of hexadecimal and the integer part to the integer part of hexadecimal. The following are the specific steps:

Step 1: Convert the decimal fraction to a hexadecimal fraction

First, multiply the decimal fraction by 16 and take the integer part of the result as The first digit of the hexadecimal fractional part. Then, multiply the fractional part by another 16 and use the integer part of the result as the second digit of the decimal part. Repeat this process until the decimal part is zero or the desired precision is achieved.

For example, let's say we want to convert the decimal fraction 0.625 to hexadecimal. First, multiply 0.625 by 16 to get 10. Therefore, the first digit of the fractional part of the hexadecimal number is A. Then, multiply the fractional part of 0.625 by 16 to get 10. Therefore, the second digit of the hexadecimal fractional part is also A. Since the fractional part is zero, the conversion process ends. Therefore, the hexadecimal representation of 0.625 is 0.625 = 0. A A.

Step 2: Convert the decimal integer part to the hexadecimal integer part

Divide the decimal integer part by 16 and use the integer part of the result as the lowest hexadecimal integer part digits. Then, multiply the remainder of the division result by 16 and use the integer part of the result as the next digit of the hexadecimal integer part. Repeat this process until the division result is zero.

For example, suppose we want to convert the decimal integer 123 to hexadecimal. First, divide 123 by 16 to get 7 remainder 11. Therefore, the lowest digit of the hexadecimal integer part is B. Then, divide the division result 7 by 16 to get 0 remainder 7. Therefore, the next digit in the hexadecimal integer part is 7. Since the result of the division is zero, the conversion process ends. Therefore, the hexadecimal representation of 123 is 123 = 7B.

Finally, the hexadecimal integer part and the decimal part are combined to get the final hexadecimal representation.

To summarize, we have introduced the steps to convert decimal to hexadecimal. With these steps we can convert any decimal fraction to hexadecimal. Here are some examples to help readers better understand this process:

Example 1: Convert decimal 0.125 to hexadecimal.

Step 1: 0.125 * 16 = 2, the first digit of the hexadecimal decimal part is 2.

Step 2: The decimal part is zero and the conversion process is over.

Therefore, the hexadecimal representation of 0.125 is 0.125 = 0.2.

Example 2: Convert decimal 0.3 to hexadecimal.

Step 1: 0.3 * 16 = 4.8, the first digit of the hexadecimal decimal part is 4.

Step 2: 0.8 * 16 = 12.8, the second digit of the hexadecimal decimal part is C.

Step 3: 0.8 * 16 = 12.8, the third digit of the hexadecimal decimal part is C.

Step 4: The decimal part is zero and the conversion process is over.

Therefore, the hexadecimal representation of 0.3 is 0.3 = 0.4CC.

Through these examples, we can see the process of converting decimal fractions to hexadecimal. This process can be applied to any decimal fraction, helping us better understand and use hexadecimal values.

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