Convert 253 into a hexidecimal

To convert the decimal number 253 into hexadecimal, follow these steps:

1. Divide the number by 16 and get the integer quotient and remainder. 2. The remainder gives you the hexadecimal digit for that place value. 3. Repeat the division with the quotient until the quotient is zero. 4. The hexadecimal value is written with the last remainder as the most significant digit (MSD) and the first remainder as the least significant digit (LSD).

Now let's convert the decimal number 253 to hexadecimal:

Dividing 253 by 16 gives you a quotient of 15 and a remainder of 13:

253 ÷ 16 = 15 (quotient), remainder = 13.

The remainder 13 corresponds to the letter 'D' in hexadecimal (since hexadecimal digits after 9 are represented by letters A-F, where A=10, B=11, C=12, D=13, E=14, and F=15).

Next, we take the quotient of 15 and divide it by 16 again:

15 ÷ 16 = 0 (quotient), remainder = 15.

The remainder 15 corresponds to the letter 'F' in hexadecimal.

Since the last quotient is zero, we stop here and write down the remainders in reverse order to get the hexadecimal number.

Therefore, the hexadecimal representation of the decimal number 253 is FD.

Extra: Hexadecimal is a base-16 number system, which means it uses sixteen symbols to represent all numeric values. These symbols are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Unlike the decimal system (base-10), which uses ten different symbols to represent numbers, the hexadecimal system can represent larger numbers in fewer digits, which is why it's often used in computing and digital systems to simplify the representation of binary numbers.

Each digit in a hexadecimal number represents a power of 16. The rightmost digit is multiplied by 16^0 (which is 1), the next digit is multiplied by 16^1 (which is 16), the next by 16^2 (which is 256), and so on. Hexadecimal is particularly useful in computing because one hex digit represents four binary digits (bits), so it provides a more compact and readable way to show binary-coded values.