Question

What is the network address if given this IP address and the following subnet mask? Please note that the network may be different if the subnet mask is different.

IP address 178.47.188.176

- 255.255.255.0 network 178.47.188.0
- 255.255.255.240 network 178.47.188.176
- 255.255.0.0 network 178.47.0.0
- 255.255.240.0 network 178.47.176.0

How many total/useable hosts?

1a. /20 Total_______________ Useable_______________

1b. /21 Total_______________ Useable_______________

1c. /28 Total_______________ Useable_______________

1d. /27 Total_______________ Useable_______________

1e. /30 Total_______________ Useable_______________

Answer #1

**Answer)**

**Total number of hosts = 2 ^{number of zeros}
Usable Hosts = 2^{number of zeros} - 2**

**1a. 178.47.188.176/20**

**11111111.11111111.11110000.00000000**

**Hosts: Total =
2 ^{12} = 4096 Useable = 4096 - 2 = 4094**

**1b. 178.47.188.176/21**

**11111111.11111111.11111000.00000000**

**Hosts: Total =
2 ^{11} = 2048 Useable = 2048 - 2 = 2046**

**1c. 178.47.188.176/28**

**11111111.11111111.11111111.11110000**

**Hosts: Total =
2 ^{4} = 16 Useable = 16 - 2 = 14**

**1d. 178.47.188.176/27**

**11111111.11111111.11111111.11100000**

**Hosts: Total =
2 ^{5} = 32 Useable = 32 - 2 = 30**

**1e. 178.47.188.176/30**

**11111111.11111111.11111111.11111100**

**Hosts: Total =
2 ^{5} = 32 Useable = 32 - 2 = 30**

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