Binary Conversion Magic!

How can we convert decimal numbers to binary and hexadecimal?

Options:

a. Use the division-by-2 method

b. Use traditional binary multiplication

c. Use the division-by-16 method

d. All of the above

The correct answer is: d. All of the above

To convert decimal numbers to binary and hexadecimal, we can utilize different methods based on the desired output. For converting decimal numbers to binary, we can use the division-by-2 method. This involves dividing the decimal number by 2, writing down the remainder, and continuing the process until the quotient becomes 0. The binary representation is the remainders in reverse order.

For converting decimal numbers to hexadecimal, we can use the division-by-16 method. Similar to converting to binary, we divide the decimal number by 16, write down the remainder, and continue until the quotient is 0. The hexadecimal representation is the remainders in reverse order, with letters 'A' to 'F' representing the decimal values 10 to 15.

By utilizing these division methods, we can easily convert decimal numbers to binary and hexadecimal representations.