墨菲手记murphy

前缀长度 /15

/15 的子网掩码是 255.254.0.0

前 15 位是网络位,后 17 位是主机位。

子网掩码
255.254.0.0
二进制
11111111.11111110.00000000.00000000
通配符掩码
0.1.255.255
地址总数
131,072
可用主机数
131,070
块大小
2(第二个八位组)

怎么读这个数

掩码里连续 15 个 1 之后全是 0。写成点分十进制就是 255.254.0.0,第二个八位组是最后一个不满 255 的位置,子网就在这一组里按 2 递增。每个 /15 有 131,072 个地址,去掉网络地址和广播地址,剩 131,070 台主机可用。

通配符掩码 0.1.255.255 是子网掩码按位取反,ACL 和 OSPF 的 network 语句用它:0 表示这一位必须匹配,1 表示不关心。

能切出多少个

  • 一个 /8 可以切成 128 个 /15(借 7 位)。

示例:10.0.0.0/8 切成 /15

10.0.0.0/8 切成 /15,共 128 个子网
#网络地址首个可用末个可用广播地址可用主机数
110.0.0.0/1510.0.0.110.1.255.25410.1.255.255131,070
210.2.0.0/1510.2.0.110.3.255.25410.3.255.255131,070
310.4.0.0/1510.4.0.110.5.255.25410.5.255.255131,070
410.6.0.0/1510.6.0.110.7.255.25410.7.255.255131,070
510.8.0.0/1510.8.0.110.9.255.25410.9.255.255131,070
610.10.0.0/1510.10.0.110.11.255.25410.11.255.255131,070
710.12.0.0/1510.12.0.110.13.255.25410.13.255.255131,070
810.14.0.0/1510.14.0.110.15.255.25410.15.255.255131,070
910.16.0.0/1510.16.0.110.17.255.25410.17.255.255131,070
1010.18.0.0/1510.18.0.110.19.255.25410.19.255.255131,070
1110.20.0.0/1510.20.0.110.21.255.25410.21.255.255131,070
1210.22.0.0/1510.22.0.110.23.255.25410.23.255.255131,070
1310.24.0.0/1510.24.0.110.25.255.25410.25.255.255131,070
1410.26.0.0/1510.26.0.110.27.255.25410.27.255.255131,070
1510.28.0.0/1510.28.0.110.29.255.25410.29.255.255131,070
1610.30.0.0/1510.30.0.110.31.255.25410.31.255.255131,070
1710.32.0.0/1510.32.0.110.33.255.25410.33.255.255131,070
1810.34.0.0/1510.34.0.110.35.255.25410.35.255.255131,070
1910.36.0.0/1510.36.0.110.37.255.25410.37.255.255131,070
2010.38.0.0/1510.38.0.110.39.255.25410.39.255.255131,070
2110.40.0.0/1510.40.0.110.41.255.25410.41.255.255131,070
2210.42.0.0/1510.42.0.110.43.255.25410.43.255.255131,070
2310.44.0.0/1510.44.0.110.45.255.25410.45.255.255131,070
2410.46.0.0/1510.46.0.110.47.255.25410.47.255.255131,070
2510.48.0.0/1510.48.0.110.49.255.25410.49.255.255131,070
2610.50.0.0/1510.50.0.110.51.255.25410.51.255.255131,070
2710.52.0.0/1510.52.0.110.53.255.25410.53.255.255131,070
2810.54.0.0/1510.54.0.110.55.255.25410.55.255.255131,070
2910.56.0.0/1510.56.0.110.57.255.25410.57.255.255131,070
3010.58.0.0/1510.58.0.110.59.255.25410.59.255.255131,070
3110.60.0.0/1510.60.0.110.61.255.25410.61.255.255131,070
3210.62.0.0/1510.62.0.110.63.255.25410.63.255.255131,070
3310.64.0.0/1510.64.0.110.65.255.25410.65.255.255131,070
3410.66.0.0/1510.66.0.110.67.255.25410.67.255.255131,070
3510.68.0.0/1510.68.0.110.69.255.25410.69.255.255131,070
3610.70.0.0/1510.70.0.110.71.255.25410.71.255.255131,070
3710.72.0.0/1510.72.0.110.73.255.25410.73.255.255131,070
3810.74.0.0/1510.74.0.110.75.255.25410.75.255.255131,070
3910.76.0.0/1510.76.0.110.77.255.25410.77.255.255131,070
4010.78.0.0/1510.78.0.110.79.255.25410.79.255.255131,070
4110.80.0.0/1510.80.0.110.81.255.25410.81.255.255131,070
4210.82.0.0/1510.82.0.110.83.255.25410.83.255.255131,070
4310.84.0.0/1510.84.0.110.85.255.25410.85.255.255131,070
4410.86.0.0/1510.86.0.110.87.255.25410.87.255.255131,070
4510.88.0.0/1510.88.0.110.89.255.25410.89.255.255131,070
4610.90.0.0/1510.90.0.110.91.255.25410.91.255.255131,070
4710.92.0.0/1510.92.0.110.93.255.25410.93.255.255131,070
4810.94.0.0/1510.94.0.110.95.255.25410.95.255.255131,070
4910.96.0.0/1510.96.0.110.97.255.25410.97.255.255131,070
5010.98.0.0/1510.98.0.110.99.255.25410.99.255.255131,070
5110.100.0.0/1510.100.0.110.101.255.25410.101.255.255131,070
5210.102.0.0/1510.102.0.110.103.255.25410.103.255.255131,070
5310.104.0.0/1510.104.0.110.105.255.25410.105.255.255131,070
5410.106.0.0/1510.106.0.110.107.255.25410.107.255.255131,070
5510.108.0.0/1510.108.0.110.109.255.25410.109.255.255131,070
5610.110.0.0/1510.110.0.110.111.255.25410.111.255.255131,070
5710.112.0.0/1510.112.0.110.113.255.25410.113.255.255131,070
5810.114.0.0/1510.114.0.110.115.255.25410.115.255.255131,070
5910.116.0.0/1510.116.0.110.117.255.25410.117.255.255131,070
6010.118.0.0/1510.118.0.110.119.255.25410.119.255.255131,070
6110.120.0.0/1510.120.0.110.121.255.25410.121.255.255131,070
6210.122.0.0/1510.122.0.110.123.255.25410.123.255.255131,070
6310.124.0.0/1510.124.0.110.125.255.25410.125.255.255131,070
6410.126.0.0/1510.126.0.110.127.255.25410.127.255.255131,070

只列出前 64 个,共 128 个子网。规律不变:下一个网络地址等于上一个加块大小。

练一下

给一个地址,前缀都是 /15。先自己算,再展开答案。

第 1 题:10.144.7.75/15 所在的网络、可用范围和广播地址
网络地址
10.144.0.0/15
可用范围
10.144.0.1 到 10.145.255.254
广播地址
10.145.255.255
可用主机
131,070
第 2 题:10.45.42.103/15 所在的网络、可用范围和广播地址
网络地址
10.44.0.0/15
可用范围
10.44.0.1 到 10.45.255.254
广播地址
10.45.255.255
可用主机
131,070
第 3 题:10.10.203.150/15 所在的网络、可用范围和广播地址
网络地址
10.10.0.0/15
可用范围
10.10.0.1 到 10.11.255.254
广播地址
10.11.255.255
可用主机
131,070
第 4 题:10.142.52.40/15 所在的网络、可用范围和广播地址
网络地址
10.142.0.0/15
可用范围
10.142.0.1 到 10.143.255.254
广播地址
10.143.255.255
可用主机
131,070
第 5 题:10.51.252.13/15 所在的网络、可用范围和广播地址
网络地址
10.50.0.0/15
可用范围
10.50.0.1 到 10.51.255.254
广播地址
10.51.255.255
可用主机
131,070

想多练:按前缀分组的练习题。

换个地址算