How to convert decimal to hexadecimal ?
Are you looking for a way to convert decimal numbers into hexadecimal numbers? If so, you're in the right place.
In this blog article, we'll be exploring the process of converting decimal numbers to hexadecimal numbers.
What is a Decimal number system ?
A decimal number system is a base 10 number system, which means that it uses 10 distinct symbols (0,1,2,3,4,5,6,7,8 and 9) to represent different values.
What are hexadecimal number ?
Hexadecimal numbers are base-16 numbers that use the digits 0-9 and A-F (or a-f) to represent values.
They are commonly used in computer programming to represent a variety of values, including colors, memory addresses, and character encoding.
How to convert decimal to hexadecimal ?
Converting a decimal into a hexadecimal number involves the following steps:
Divide the decimal number by 16.
Record the remainder and the result of the division.
Divide the result of the division by 16.
Record the remainder and the result of the division.
Repeat steps 3 and 4 until the result of the division is 0.
Take the remainders recorded in steps 1-5 and arrange them in reverse order.
The result is the hexadecimal equivalent of the decimal number.
Decimal to Hexadecimal Table
To convert the decimal number system to hexadecimal, we have to remember the table given below, to solve the problems in a quick way.
You can easily understand by the help of below example
Explanation of above problem
To convert a decimal 126 into a hexadecimal number, we have to follow these steps:
Divide 126 by 16.
The quotient is 7 and the remainder is 14.
In figure 1 The hexadecimal equivalent of 14 is E.
Read the remainders from the last division to the first division in the reverse order. This will be the hexadecimal representation of the decimal number.
The hexadecimal equivalent of 126 is
(7 E).
By following those above steps, you can easily convert any decimal to its hexadecimal equivalent.
Conclusion
In conclusion, converting decimal to hexadecimal is an easy process that only requires basic math and arithmetic skills. All that is needed is to divide the decimal number by 16, and use the remainder to determine the corresponding hexadecimal character.
With the right approach, you can easily convert a decimal fraction to its octal equivalent.
