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

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

Options:

Correct Answer: 11111111

Solution:

The decimal number 255 converts to binary as 11111111.

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.