CONVERSION OF DECIMAL WHOLE NUMBER TO HEXADECIMAL NUMBER
The hexadecimal number system consists of only 16 characters. The decimal value for these characters are shown below.
0
=
0
1
=
1
2
=
2
3
=
3
4
=
4
5
=
5
6
=
6
7
=
7
8
=
8
9
=
9
10
=
A
11
=
B
12
=
C
13
=
D
14
=
E
15
=
F
These characters may be arranged in various sequences to produce an infinite number of representations of decimal
numbers. For example: 6D4C = 27,980.
The following steps show the procedure to convert
decimal numbers to hexadecimal numbers.
1. Divide the decimal number by 16.
Example: 57420/16=3588.75
2. Multiply only the fractional part of the product by 16
to arrive at the first character in the hexadecimal
equivalent. Remember, all numbers produced in this step
are shown above. Also note that the product may have no
fraction (.000) which would result in zero as the
hexadecimal number.
Example: .75 x 16 = 12 = C
3. Divide the whole number portion of the product by
16, thereby producing yet another number.
Example: 3588/16=224.25
4. Repeat steps 2 and 3 in a cyclical fashion until the
numerator to be divided in step 3 is less than 16. At that
point, the numerator represents the final character in the
hexadecimal sequence.
EXAMPLE: Convert 57,420 into a hexadecimal number.
1.)
57,420/16=3588.75
2.)
.75 X 16 = 12 =
C
3.)
3,588/16=224.25
2.)
.25 X 16 =
4
3.)
224/16=14.00
2.)
.00 X 16 =
0
3.)
14 =
E
57,420 =
E04C
3-10