uma maquina tem o seguinte endereco de internet172.16.39.19/20diga qual é o endereco da sub-rede, onde ela está e qual o endereco da maquina nessa subrede

1. Break Down the Problem

To solve the problem, we need to:

1. Identify the subnet mask associated with the given CIDR notation (/20).
2. Determine the network address (subnet address).
3. Calculate the address of the machine within the subnet.

2. Relevant Concepts

• CIDR Notation: Notation to denote the subnet mask, where /20 indicates that the first 20 bits are the network part.
• Subnet Mask: For /20, the subnet mask in binary is 11111111.11111111.11110000.00000000, which equals 255.255.240.0 in decimal.
• Finding Network Address: The network address can be found by performing a bitwise AND operation between the IP address and the subnet mask.

3. Analysis and Detail

1. Convert the IP Address and Subnet Mask:

   • IP Address: 172.16.39.19 can be converted to binary:
     • 172 = 10101100
     • 16 = 00010000
     • 39 = 00100111
     • 19 = 00010011
   • Binary Representation: 10101100.00010000.00100111.00010011
   • Subnet Mask for /20: 255.255.240.0 is 11111111.11111111.11110000.00000000

2. Perform Bitwise AND Operation: $\text{IP Address: } 10101100.00010000.00100111.00010011 \\ \text{Subnet Mask: } 11111111.11111111.11110000.00000000 \\ \text{Network Address: } 10101100.00010000.00100000.00000000$

   In decimal, this is:

   • 10101100 = 172
   • 00010000 = 16
   • 00100000 = 32
   • 00000000 = 0

   Therefore, the network address is: 172.16.32.0

3. Determine the Address of the Machine in the Subnet: The machine’s address is 172.16.39.19, which is within the subnet defined by 172.16.32.0.

   • The range of this subnet can be calculated:
     • First Address: 172.16.32.1
     • Last Address: 172.16.47.254 (since /20 allows for 4096 addresses).

4. Verify and Summarize

• The calculated network address is 172.16.32.0.
• The address of the machine 172.16.39.19 is within the subnet range from 172.16.32.0 to 172.16.47.255.

Final Answer

• Network Address: 172.16.32.0
• Machine Address within Subnet: 172.16.39.19