If the decimal number 255 is converted to binary, what is the resulting binary n

If the decimal number 255 is converted to binary, what is the resulting binary number?

If the decimal number 255 is converted to binary, what is the resulting binary number?

Step 1: Understand that binary is a base-2 number system, which uses only 0s and 1s.
Step 2: Start with the decimal number 255.
Step 3: Divide 255 by 2. The quotient is 127 and the remainder is 1.
Step 4: Divide 127 by 2. The quotient is 63 and the remainder is 1.
Step 5: Divide 63 by 2. The quotient is 31 and the remainder is 1.
Step 6: Divide 31 by 2. The quotient is 15 and the remainder is 1.
Step 7: Divide 15 by 2. The quotient is 7 and the remainder is 1.
Step 8: Divide 7 by 2. The quotient is 3 and the remainder is 1.
Step 9: Divide 3 by 2. The quotient is 1 and the remainder is 1.
Step 10: Divide 1 by 2. The quotient is 0 and the remainder is 1.
Step 11: Now, write down all the remainders from the last division to the first. This gives you 11111111.
Step 12: Therefore, the binary representation of the decimal number 255 is 11111111.

Decimal to Binary Conversion – Understanding how to convert a decimal number into its binary equivalent using division by 2 or bitwise methods.