To find the network and broadcast addresses for the IP address `192.168.1.45` with a subnet mask of `/30`, let's first define what a `/30` subnet means:
1. **Subnet Mask**: A `/30` subnet mask indicates that 30 bits are used for the network part of the address, which leaves 2 bits for host addresses. In binary, the subnet mask is `255.255.255.252`.
2. **Number of Hosts**: A `/30` subnet can accommodate 4 IP addresses, which includes:
- 1 Network Address
- 2 usable Host Addresses
- 1 Broadcast Address
### Step 1: Determine the Network Address
The range of the `/30` subnet can be determined using the IP address and the subnet mask.
- The IP `192.168.1.45` in binary is:
```
11000000.10101000.00000001.00101101
```
- The subnet mask `/30` in binary is:
```
11111111.11111111.11111111.11111100
```
- To find the network address, perform a bitwise AND operation on the IP address and the subnet mask:
```
11000000.10101000.00000001.00101101 (192.168.1.45)
AND
11111111.11111111.11111111.11111100 (255.255.255.252)
--------------------------------------
11000000.10101000.00000001.00101100 (192.168.1.44)
```
So, the **Network Address** is `192.168.1.44`.
### Step 2: Determine the Broadcast Address
To find the broadcast address of a `/30` subnet, we can either calculate it by adding 3 to the network address or set all host bits to 1 in the binary notation:
- The binary space for the `/30` subnet (last octet):
```
Network: 11000000.10101000.00000001.00101100 (192.168.1.44)
Usable Hosts: 11000000.10101000.00000001.00101101 (192.168.1.45)
11000000.10101000.00000001.00101110 (192.168.1.46)
Broadcast: 11000000.10101000.00000001.00101111 (192.168.1.47)
```
Thus, the **Broadcast Address** is `192.168.1.47`.
### Summary
- **Network Address**: `192.168.1.44`
- **Broadcast Address**: `192.168.1.47`
Among your options, the correct network/broadcast address pair is:
**192.168.1.44 - 192.168.1.47**.