Which process is used to convert decimal to binary by recording remainders during division?

Which process is used to convert decimal to binary by recording remainders during division?

• A. Multiply by 2
• B. Divide by 2 and record remainders
• C. Subtract 1 repeatedly
• D. Split into bytes

Answer: (B)

To convert a decimal number to binary, you repeatedly divide the number by 2 and record the remainder each time. Each remainder is a binary digit (0 or 1). The sequence of remainders, read in reverse order (from the last remainder to the first), forms the binary representation of the original number. For example, turning 13 into binary: 13 ÷ 2 = 6 with remainder 1 6 ÷ 2 = 3 with remainder 0 3 ÷ 2 = 1 with remainder 1 1 ÷ 2 = 0 with remainder 1 Reading the remainders backward gives 1101, so 13 in binary is 1101₂.

To convert a decimal number to binary, you repeatedly divide the number by 2 and record the remainder each time. Each remainder is a binary digit (0 or 1). The sequence of remainders, read in reverse order (from the last remainder to the first), forms the binary representation of the original number.

For example, turning 13 into binary:

13 ÷ 2 = 6 with remainder 1

6 ÷ 2 = 3 with remainder 0

3 ÷ 2 = 1 with remainder 1

1 ÷ 2 = 0 with remainder 1

Reading the remainders backward gives 1101, so 13 in binary is 1101₂.