Question

Decimal to Binary:

12. 10.9.16
Note: When converting an IP address, be sure to include 8 binary digits for each octet.

Answer 1

To convert decimal numbers to binary, divide the whole number and fractional parts separately. For example, the binary representation of 12 is 1100. The binary representations of the given numbers are 12: 1100, 10: 1010, 9: 1001, and 16: 10000.

Step-by-step explanation:

When converting decimal numbers to binary, we start by dividing the whole number part and the fractional part separately. Let's take the number 12 as an example:

1. To convert the whole number part, we repeatedly divide the number by 2 and write down the remainders. For 12, the process would be: 12 ÷ 2 = 6 remainder 0, 6 ÷ 2 = 3 remainder 0, 3 ÷ 2 = 1 remainder 1. So, the binary representation of the whole number part of 12 is 1100.
2. To convert the fractional part, we multiply the decimal part by 2 and write down the whole number part of the result. For 0.1, the process would be: 0.1 × 2 = 0.2 (whole number part is 0), 0.2 × 2 = 0.4 (whole number part is 0), and so on. Continuing this process, we get the binary representation of the fractional part of 10 as 00011001100110011…

Therefore, the binary representation of the numbers 12, 10, 9, and 16 would be:

• 12: 1100
• 10: 1010
• 9: 1001
• 16: 1000