CCNA1 6 Addressing the Network - IPv4(8)

CCNA1 第六章

6.1.4 Knowing the Numbers - Decimal to Binary Conversions

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Not only do we need to be able to convert binary to decimal, we also need to be able to convert decimal to binary. We often need to examine an individual octet of an address that is given in dotted decimal notation. Such is the case when the network bits and host bits divide an octet.

As an example, if a host with the 172.16.4.20 were using 28 bits for the network address, we would need to examine the binary in the last octet to discover that this host is on the network 172.16.4.16. This process of extracting the network address from a host address will be explained later.

Address Values are Between 0 and 255

Because our representation of addresses is limited to decimal values for a single octet, we will only examine the process of converting 8-bit binary to the decimal values of 0 to 255.

To begin the conversion process, we start by determining if the decimal number is equal to or greater than our largest decimal value represented by the most-significant bit. In the highest position, we determine if the value is equal to or greater than 128. If the value is smaller than 128, we place a 0 in the 128-bit position and move to the 64-bit position.

If the value in the 128-bit position is larger than or equal to 128, we place a 1 in the 128 position and subtract 128 from the number being converted. We then compare the remainder of this operation to the next smaller value, 64. We continue this process for all the remaining bit positions.

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