CONVERTING DECIMAL TO HEXADECIMAL CONVERTING DECIMAL TO HEXADECIMAL Steps:. Divide the decimal number by 16. Treat the division as an integer division. Write down the remainder (in hexadecimal). Divide the result again by 16. Treat the division as an integer division. Repeat step 2 and 3 until result is 0.
![Adding Adding](http://slideplayer.com/6839307/23/images/26/Decimal%20to%20Octal%20Conversion.jpg)
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 NOTES DIVISION RESULT REMAINDER (in HEXADECIMAL) Start by dividing the number by 16, that is (1128/16). 1128 divided by 16 is 70.5. So the integer division result is 70 (throw out anything after the decimal point). Record it on the RESULT column. The remainder is (70.5 - 70) multiplied with 16; or (0.5 times 16), which is 8. Record it on the REMAINDER column.
1128 / 16 70 8 Then, divide the result again by 16, that is (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. 70 / 16 4 6 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. 4 / 16 0 4 Stop because the result is already 0 (0 divided by 16 will always be 0) Well, here is the answer.
![Decimal to binary pdf Decimal to binary pdf](/uploads/1/2/5/6/125638619/691445350.jpg)
These numbers come from the REMAINDER column values (read from bottom to top) 468 Side note: You can get the remainder of a division using the Modulus (or% operator in programming code). Ie: 1128%16=8. Example 2 Convert the number 256 DECIMAL to HEXADECIMAL DIVISION RESULT REMAINDER (in HEX) 256 / 16 16 0 16 / 16 1 0 1 / 16 0 1 ANSWER 100 Example 3 Convert the number 921 DECIMAL to HEXADECIMAL DIVISION RESULT REMAINDER (in HEX) 921 / 16 57 9 57 / 16 3 9 3 / 16 0 3 ANSWER 399 Example 4 Convert the number 188 DECIMAL to HEXADECIMAL DIVISION RESULT REMAINDER (in HEX) 188 / 16 11 C (12 decimal) 11 / 16 0 B (11 decimal) ANSWER BC Note that here, the answer would not be 1112, but BC. Remember to write down the remainder in hex, not decimal.
Conversion of Binary, Octal and Hexadecimal Numbers From Binary to Octal Starting at the binary point and working left, separate the bits into groups of three and replace each group with the corresponding octal digit. 10001011 2 = 010 001 011 = 213 8 From Binary to Hexadecimal Starting at the binary point and working left, separate the bits into.