How is the integer 255 represented in memory?

In memory, the integer 255 is represented in binary format. Here are the steps to convert the decimal number 255 to binary:

1. Divide the number by 2.
2. Record the remainder.
3. Divide the quotient from the previous step by 2.
4. Repeat steps 2 and 3 until the quotient is 0.

Let's do this for 255:

1. 255 divided by 2 is 127 remainder 1.
2. 127 divided by 2 is 63 remainder 1.
3. 63 divided by 2 is 31 remainder 1.
4. 31 divided by 2 is 15 remainder 1.
5. 15 divided by 2 is 7 remainder 1.
6. 7 divided by 2 is 3 remainder 1.
7. 3 divided by 2 is 1 remainder 1.
8. 1 divided by 2 is 0 remainder 1.

So, if we read the remainders from bottom to top, we get the binary representation of 255 as 11111111.

In memory, this binary number is stored as a sequence of bits. Depending on the system and programming language, the size of an integer in memory can vary. For example, in a system where integers are 32 bits, the number 255 would be stored as 00000000 00000000 00000000 11111111.