Introduction:

Converting decimal numbers to their hexadecimal (base 16) equivalents is a common task in computing and digital electronics. This conversion process involves dividing the decimal number by 16 and using remainders to build the hexadecimal representation.



Simple Explanation:



What is Decimal to Hexadecimal Conversion?



It's the process of changing a number from the decimal (base 10) system to the hexadecimal (base 16) system.

This involves dividing the decimal number by 16 repeatedly until the quotient is 0, and using the remainders to form the hexadecimal number.

Steps for Conversion:



Divide the decimal number by 16 and note the remainder.

Continue dividing the quotient by 16 and noting the remainders until the quotient becomes 0.

Replace the remainders with corresponding hexadecimal digits (0-9 for remainders 0-9 and A-F for remainders 10-15).

The hexadecimal number is formed by reading the remainders (converted to hexadecimal digits) in reverse order.

Example:



Converting Decimal to Hexadecimal:



To convert the decimal number 255 to hexadecimal:

Divide 255 by 16: The quotient is 15 and the remainder is 15, which corresponds to 'F' in hexadecimal.

Divide the quotient (15) by 16: The quotient is 0 and the remainder is 15 ('F').

Since the quotient is now 0, the process stops.

Reading the remainders in reverse order gives 'FF'.

Therefore, the hexadecimal representation of 255 is FF.

Checking the Calculation:



Ensure that division and remainder recording are accurate.

Correctly replace remainders with hexadecimal digits.

Key Points to Remember:



Each remainder is converted to its hexadecimal digit equivalent.

The conversion is used extensively in computer science and digital systems.

Activity:



Practice converting various decimal numbers to hexadecimal.

Verify your results using a calculator with hexadecimal conversion capabilities.

Extra Tip:



Familiarize yourself with the hexadecimal digit system (0-9 and A-F) for smoother conversions.