Subnetting Cheats

Subnet calculators are useful, but a small set of binary patterns makes their output easier to verify. These methods are checks, not substitutes for confirming the real allocation and routing policy.

Octet Bit Values

An IPv4 octet uses these place values:

bit:    1   1   1   1   1  1  1  1
value: 128  64  32  16   8  4  2  1

Adding all eight values produces 255. Decimal 192 is 128 + 64, so its binary representation is 11000000.

Common Partial-Octet Masks

Contiguous prefix bits produce a short mask sequence:

bits set: 0    1    2    3    4    5    6    7    8
decimal:  0  128  192  224  240  248  252  254  255

For example, /19 contains 16 full prefix bits plus three bits in the third octet, so its mask is 255.255.224.0.

Block Sizes

In the first mask octet that is not 255, subtract the mask value from 256 to get the subnet increment. A /27 mask ends in 224, giving block size 256 - 224 = 32. Boundaries in the final octet are therefore 0, 32, 64, 96, 128, 160, 192, and 224.

Address 198.51.100.77/27 lies in the 64-through-95 block.

Converting an Arbitrary Octet

To convert decimal 123, select the largest remaining values without exceeding it:

123 = 64 + 32 + 16 + 8 + 2 + 1
    = 01111011

Convert back by adding only the place values whose bits are one. Always keep all eight positions when working inside an IPv4 octet.

Summary

You can now check common IPv4 calculations with compact binary patterns.

1. Use the eight octet place values from 128 through 1.
2. Recall the sequence of contiguous partial-octet masks.
3. Derive block size by subtracting the partial mask from 256.
4. Keep eight bits when converting individual octets.