Convert the decimal (base-10) number 20 to binary (base-2).

Question

A. 10010
B. 00101
C. 11000
D. 10100

Answer 1

To convert the decimal number 20 to binary, we can divide the number by 2 and record the remainders. Here’s how the conversion works:

1. 20 divided by 2 is 10, remainder 0
2. 10 divided by 2 is 5, remainder 0
3. 5 divided by 2 is 2, remainder 1
4. 2 divided by 2 is 1, remainder 0
5. 1 divided by 2 is 0, remainder 1

Now we read the remainders from bottom to top: 10100.

Therefore, the binary representation of the decimal number 20 is 10100.

The correct answer is: D. 10100