What is the representation of the number 255 in binary?

The representation of the number 255 in binary is achieved by converting the decimal number to its binary equivalent. The binary number system is base 2, which means it uses only two digits: 0 and 1. Each digit in the binary number represents a power of 2.

To convert the decimal number 255 into binary, we can repeatedly divide the number by 2 and record the remainders. Alternatively, we can express 255 as a sum of powers of 2. The largest power of 2 that fits into 255 is 128 (which is 2^7), followed by 64 (2^6), 32 (2^5), 16 (2^4), 8 (2^3), 4 (2^2), 2 (2^1), and 1 (2^0). When combining these powers, 1s are placed in each corresponding position, allowing us to represent 255 as:

• 128 in the 2^7 position (1)

• 64 in the 2^6 position (1)

• 32 in the 2^5 position (1)

• 16 in the 2^4 position (1)