Converting a Byte From Decimal to Hexadecimal 

To convert a decimal value of a byte to its
hexadecimal equivalent, again keep in mind that the maximum number you are
dealing with is 255 (this is because the operation will be a little
different later on). Find the remainder of the decimal number by 16. This
remainder will constitute the low group of four bits. The result will constitute the
high group of four bits. Therefore, use the table of numeric conversions to find the
equivalent hexadecimal number for each group.
Let's convert decimal 225 to hexadecimal. The
remainder of 225 by 16 is 1 and the natural result is 14. Using
the table of numeric conversions, decimal 14 = hexadecimal E. Decimal 1 =
hexadecimal 1. Therefore, the decimal number 225 has a hexadecimal value
of 0XE1.
As another example, Let's convert the decimal 203 to
the hexadecimal system. The remainder of 203 divided by 16 is 11 and the natural result is 12. Using
the table of numeric conversions, decimal 12 = hexadecimal C; decimal 11 =
hexadecimal B. Therefore, decimal 203 = hexadecimal 0XCB
Practical Learning: Converting a Byte From Decimal to Hexadecimal


 On the Calculator, click the Dec radio button
 Using the buttons on the window, enter 225
 Click the Hex radio button to see the result
 Click the Dec radio button
 Press the numeric keys on the keyboard to display 203
 Click the Hex radio button to see the result
Converting any Number From Decimal to Hexadecimal 

To convert any number from decimal to hexadecimal, find the remainder of the number by 16. This remainder would be the LO
group of four bits. Use the quotient to find the remainder by 16; this remainder would be the second
group of four bits. Continue until the decimal is less than 16.
Consider a decimal number such as 1325 to convert to
hexadecimal:
 The remainder of 1325 by 16 is. The remainder of 1325 divided by 16
is 13 and the quotient is 82. Therefore the left number will be 13.
 The remainder of 82 divided by 16 is 2 and the quotient is 5. Therefore, the second number from left is 2; this would produce 2 and 13.
Since the quotient, 5, is less that 16, it will be put to the left of the existing numbers. We get 5  2  13. According to the table of numeric conversions, decimal 13 = hexadecimal D. Therefore, decimal 1325 = hexadecimal 0x52D
Let’s convert decimal 462834 to hexadecimal:
Number 
Divided By 
Remainder 
Quotient 
462834 
16 
2 
28927 
28927 
16 
15 
1807 
1807 
16 
15 
112 
112 
16 
0 
7 
The different combination of 4 bits of this number are
7  0  15  15  2. According to the table of numeric conversions, decimal
15 = hexadecimal F. The number is 7  0  F  F  2. Therefore, the hexadecimal
equivalent of the decimal number 462834 is 0x70FF2
Practical Learning: Converting a Number From Decimal to Hexadecimal


 Click the Dec radio button and click the buttons to display 1325
 Click the Hex radio button to see the result
 Click the Dec radio button
 Press the numeric keys on the keyboard to display 462834
 Click the Hex radio button to see the result
