CONVERTING FROM DECIMAL TO HEXADECIMAL

Converting from Decimal to Hexadecimal

Steps:

1. Divide the decimal number by 16. Treat the division as an integer division.
2. Write down the remainder (in hexadecimal).
3. Divide the result again by 16. Treat the division as an integer division.
4. Repeat step 2 and 3 until result is 0.

The hex value is the digit sequence of the remainders from the last to first.

Note: a remainder in this topic refers to the left over value after performing an integer division.

HEXADECIMAL 0 1 2 3 4 5 6 7 8 9 A B C D E F

DECIMAL 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Example 1

Convert the number 1128 DECIMAL to HEXADECIMAL

STEP 1

• Start by dividing the number by 16.
• 1128 / 16
• In this case, 1128 divided by 16 is 70.5. So the integer division result is 70 (throw out anything after the decimal point).
• 70
• The remainder is (70.5 - 70) multiplied with 16; or (0.5 times 16), which is 8.

STEP 2

• Then, divide the result again by 16
• 70 / 16
• (the number 70 on the DIVISION column comes from the previous RESULT).
• In this case, 70/16=4.375. So the integer division result is 4 (throw out anything after the decimal point)
• The remainder is (0.375 multiplied with 16, which is 6.

STEP 3

• Repeat. Note here that 4/16=0.25. So the integer division result is 0.
• The remainder is (0.25-0) multiplied with 16, which is 4.

STEP 4

• Stop because the result is already 0 (0 divided by 16 will always be 0)

STEP 5

• Well, (468) is the answer. These numbers come from the REMAINDER column values

Side note: You can get the remainder of a division using the Modulus or % operator. Ie: 1128%16=8.

Reference

Decimal to Hexadecimal