Answer :
To determine the subnet to which the IP address 10.1.100.50 belongs when using a subnet mask of 255.255.0.0, follow these steps:
1. Understand IP Address and Subnet Mask:
- IP Address: 10.1.100.50
- Subnet Mask: 255.255.0.0
2. Convert the IP Address and Subnet Mask to Binary:
- Each octet in the IP address and subnet mask is converted to an 8-bit binary number.
- IP Address in binary:
- 10 → 00001010
- 1 → 00000001
- 100 → 01100100
- 50 → 00110010
- Subnet Mask in binary:
- 255 → 11111111
- 255 → 11111111
- 0 → 00000000
- 0 → 00000000
3. Perform a Bitwise AND Operation:
- Combine each corresponding pair of bits from the IP address and subnet mask using the AND operation.
- For the first octet:
- 00001010 AND 11111111 = 00001010
- For the second octet:
- 00000001 AND 11111111 = 00000001
- For the third octet:
- 01100100 AND 00000000 = 00000000
- For the fourth octet:
- 00110010 AND 00000000 = 00000000
4. Convert the Result Back to Decimal:
- First octet: 00001010 → 10
- Second octet: 00000001 → 1
- Third octet: 00000000 → 0
- Fourth octet: 00000000 → 0
5. Determine the Subnet Address:
- The result from the bitwise AND operation gives us the subnet address: 10.1.0.0
Thus, the IP address 10.1.100.50 with a subnet mask of 255.255.0.0 belongs to the subnet 10.1.0.0.
1. Understand IP Address and Subnet Mask:
- IP Address: 10.1.100.50
- Subnet Mask: 255.255.0.0
2. Convert the IP Address and Subnet Mask to Binary:
- Each octet in the IP address and subnet mask is converted to an 8-bit binary number.
- IP Address in binary:
- 10 → 00001010
- 1 → 00000001
- 100 → 01100100
- 50 → 00110010
- Subnet Mask in binary:
- 255 → 11111111
- 255 → 11111111
- 0 → 00000000
- 0 → 00000000
3. Perform a Bitwise AND Operation:
- Combine each corresponding pair of bits from the IP address and subnet mask using the AND operation.
- For the first octet:
- 00001010 AND 11111111 = 00001010
- For the second octet:
- 00000001 AND 11111111 = 00000001
- For the third octet:
- 01100100 AND 00000000 = 00000000
- For the fourth octet:
- 00110010 AND 00000000 = 00000000
4. Convert the Result Back to Decimal:
- First octet: 00001010 → 10
- Second octet: 00000001 → 1
- Third octet: 00000000 → 0
- Fourth octet: 00000000 → 0
5. Determine the Subnet Address:
- The result from the bitwise AND operation gives us the subnet address: 10.1.0.0
Thus, the IP address 10.1.100.50 with a subnet mask of 255.255.0.0 belongs to the subnet 10.1.0.0.
