What is the hexadecimal representation of the decimal number 1207?

The hexadecimal representation of the decimal number 1207 is 4B7.

To convert a decimal number to hexadecimal, you need to divide the decimal number by 16 (since hexadecimal is a base-16 number system) and keep track of the remainder. The quotient is then divided by 16 again and the process is repeated until the quotient is zero. The hexadecimal number is then the remainders, read in reverse order.

Let's break down the conversion of the decimal number 1207 to hexadecimal:

1. Divide 1207 by 16. The quotient is 75 and the remainder is 7. In hexadecimal, 7 is represented as 7.

2. Divide the quotient 75 by 16. The new quotient is 4 and the remainder is 11. In hexadecimal, 11 is represented as B.

3. Divide the new quotient 4 by 16. The quotient is now 0 and the remainder is 4. In hexadecimal, 4 is represented as 4.

Now, if we read the remainders in reverse order, we get 4B7. So, the hexadecimal representation of the decimal number 1207 is 4B7.

Remember, in hexadecimal, numbers 10-15 are represented by the letters A-F. So, if you get a remainder of 10, it would be represented as A in hexadecimal, 11 as B, 12 as C, 13 as D, 14 as E, and 15 as F. This is why in our example, the remainder 11 was represented as B.

This method of converting decimal to hexadecimal is known as the division-remainder method and is a fundamental concept in computer science, particularly when dealing with low-level programming and understanding how data is stored and manipulated at the hardware level.