IPv4 addresses, such as 192.168.1.1, are typically presented in decimal format for
human readability. However, computers and network devices process these
addresses in binary form. The ability to convert between decimal and binary, and vice
versa, is crucial for understanding network behaviors and effectively designing,
implementing, and managing IP networks.
Each octet of an IPv4 address, that is, a number between 0 and 255, corresponds wi
an 8-bit binary number. Here's the step-by-step process using positional weights to
convert a decimal number to its binary form.
1. Identify the positional weights: Each bit position in an 8-bit binary number
represents a specific weight. From right to left, these are 20,21,22,23,24,25,26,
and 27.
2. Determine which weights sum up to the specific decimal number: Starting from the
highest bit (leftmost), determine the highest power of 2 that is less than or equal to
the decimal number. This bit gets a '1'. Subtract the value of this power from your
decimal number.
3. Repeat for the remaining amount: With the remainder, repeat Step 2 for the next
highest power of 2, and continue until the remainder is zero or all bits are
accounted for.
4. Fill in the lower bits: If any bits have not been assigned and still need to be
accounted for, they will be '0'.
Now apply the conversion process explained above. Start by adding 200 to
today's date. For instance, if today is the 12th, use the value 212. The binary
form of this number is
