| | 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.
- 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. 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.
Example 5
Convert the number 100 DECIMAL to HEXADECIMAL
| DIVISION | RESULT | REMAINDER
(HEX) | | 100 / 16 | 6 | 4 | | 6 / 16 | 0 | 6 | | | | | ANSWER | | 64 |
Example 6
Convert the number 590 DECIMAL to HEXADECIMAL
| DIVISION | RESULT | REMAINDER
(HEX) | | 590 / 16 | 36 | E (14 decimal) | | 36 / 16 | 2 | 4 (4 decimal) | | 2 / 16 | 0 | 2 (2 decimal) | | | | | ANSWER | | 24E | See also: Converting Hexadecimal to Decimal | |
FAQs
Answer: 512.45 from decimal to hexadecimal is 200.7333333333.
How do I convert decimal to hexadecimal? ›
Method for Decimal to Hexadecimal Number System Conversion:
Step-1: First, divide the given number by 16. Step-2: The remainder left here, will produce the hex value. Step-3: Take the quotient from above and repeat steps 1-3 till quotient becomes 0. Step-4: Write all the remainders in reverse order.
How do you convert hex to decimal easily? ›
To convert this into a decimal number system, multiply each digit with the powers of 16 starting from units place of the number. From this, the rule can be defined for the conversion from hex numbers to decimal numbers. Thus, the resultant number will be taken as base 10 or decimal number system.
What is 89392 decimal to hexadecimal? ›
Answer: 89392 from decimal to hexadecimal is 15D30.
What is 200 decimal in hexadecimal? ›
So, denary 200 = (12 × 16) + (8 × 1) = C8 in hexadecimal.
How to write 32 in hexadecimal? ›
Step 1: Divide (32)10 successively by 16 until the quotient is 0. Step 2: Read from the bottom (MSB) to the top (LSB) as 20.
How do you convert hex to decimal without a calculator? ›
Hexadecimal to Decimal Formula
Multiply each digit of the given number, starting from the rightmost digit, with the exponents of the base 16. The exponents should start with 0 and increase by 1 every time as we move from right to left. We just simplify each of the products and add them.
Why do we need to learn to convert decimal to hexadecimal? ›
Answer. Learning to convert decimal to hexadecimal is important because: Hexadecimal is commonly used in computing and digital electronics to represent binary data more compactly.It helps in understanding and working with low-level programming, memory addresses, and debugging.
How do you calculate hex code? ›
Summary – Reading HEX Color Codes
We always multiply the first number of each pair by 16, then add the two numbers together to get our R, G, or B value. The closer that number is to 255, the brighter and more saturated it is. The closer these values are to 0, the darker and less colorful it is.
How to calculate hexadecimal? ›
The process of converting a decimal number to hexadecimal is simple, although there are more steps:
- Divide the decimal number by 16.
- Write the remainder in hexadecimal form.
- Divide the result by 16.
- Repeat steps 2 and 3 until the result is 0.
To convert hex to a decimal manually, you should first start multiplying the hex numbers by 16. Then, you raise it to a power of 0 and increase that power each time by 1 according to the hexadecimal equivalent system.
What is hex 27 in decimal? ›
Decimal-hexadecimal-binary conversion table
Integers.info - Hexadecimal numbers: 512 = 200.
How to represent 512 in binary? ›
512 in binary is 1000000000. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits).
What is 5D hexadecimal to decimal? ›
5D hex is 93 decimal, which is the ascii code for ] .
How to convert binary to hex? ›
To convert binary to hexadecimal, group binary digits into sets of four (starting from the right), then match each group with its hexadecimal equivalent (0000=0, 1111=F).
