Question

2) With a subnet mask 255.255.224.0, what is the CIDR for the subnet with an address...

2) With a subnet mask 255.255.224.0, what is the CIDR for the subnet with an address 210.240.10.0?

Homework Answers

Answer #1
IP Address: 210.240.10.0
----------------------------------------
Let's first convert this into binary format
210.240.10.0
Let's convert all octets to binary separately
Converting 210 to binary
Divide 210 successively by 2 until the quotient is 0
210/2 = 105, remainder is 0
105/2 = 52, remainder is 1
52/2 = 26, remainder is 0
26/2 = 13, remainder is 0
13/2 = 6, remainder is 1
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 11010010
210 in binary is 11010010

Converting 240 to binary
Divide 240 successively by 2 until the quotient is 0
240/2 = 120, remainder is 0
120/2 = 60, remainder is 0
60/2 = 30, remainder is 0
30/2 = 15, remainder is 0
15/2 = 7, remainder is 1
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 11110000
240 in binary is 11110000

Converting 10 to binary
Divide 10 successively by 2 until the quotient is 0
10/2 = 5, remainder is 0
5/2 = 2, remainder is 1
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 1010
10 in binary is 00001010

Converting 0 to binary
Divide 0 successively by 2 until the quotient is 0
Read remainders from the bottom to top as 
0 in binary is 00000000

===================================================================================
||    210.240.10.0 in binary notation is 11010010.11110000.00001010.00000000    ||
===================================================================================

Subnet address: 255.255.224.0
----------------------------------------
Let's convert this into binary format
255.255.224.0
Let's convert all octets to binary separately
Converting 255 to binary
Divide 255 successively by 2 until the quotient is 0
255/2 = 127, remainder is 1
127/2 = 63, remainder is 1
63/2 = 31, remainder is 1
31/2 = 15, remainder is 1
15/2 = 7, remainder is 1
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 11111111
255 in binary is 11111111

Converting 255 to binary
Divide 255 successively by 2 until the quotient is 0
255/2 = 127, remainder is 1
127/2 = 63, remainder is 1
63/2 = 31, remainder is 1
31/2 = 15, remainder is 1
15/2 = 7, remainder is 1
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 11111111
255 in binary is 11111111

Converting 224 to binary
Divide 224 successively by 2 until the quotient is 0
224/2 = 112, remainder is 0
112/2 = 56, remainder is 0
56/2 = 28, remainder is 0
28/2 = 14, remainder is 0
14/2 = 7, remainder is 0
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 11100000
224 in binary is 11100000

Converting 0 to binary
Divide 0 successively by 2 until the quotient is 0
Read remainders from the bottom to top as 
0 in binary is 00000000

====================================================================================
||    255.255.224.0 in binary notation is 11111111.11111111.11100000.00000000    ||
====================================================================================

Remove all dots to form 11111111111111111110000000000000
Remove all 0's from the right side to form 1111111111111111111
Number of 1's in this is 19
so, Subnet mask is /19

For Calculating network ID, keep first 19 bits of 11010010.11110000.00001010.00000000 and set all remaining bits to 0.
so, network ID in binary is 11010010.11110000.00000000.00000000
11010010.11110000.00000000.00000000:
----------------------------------------
11010010.11110000.00000000.00000000
Let's convert all octets to decimal separately
Converting 11010010 to decimal
=> 11010010
=> 1x2^7+1x2^6+0x2^5+1x2^4+0x2^3+0x2^2+1x2^1+0x2^0
=> 1x128+1x64+0x32+1x16+0x8+0x4+1x2+0x1
=> 128+64+0+16+0+0+2+0
=> 210
11010010 in decimal is 210

Converting 11110000 to decimal
=> 11110000
=> 1x2^7+1x2^6+1x2^5+1x2^4+0x2^3+0x2^2+0x2^1+0x2^0
=> 1x128+1x64+1x32+1x16+0x8+0x4+0x2+0x1
=> 128+64+32+16+0+0+0+0
=> 240
11110000 in decimal is 240

Converting 00000000 to decimal
=> 00000000
=> 0x2^7+0x2^6+0x2^5+0x2^4+0x2^3+0x2^2+0x2^1+0x2^0
=> 0x128+0x64+0x32+0x16+0x8+0x4+0x2+0x1
=> 0+0+0+0+0+0+0+0
=> 0
00000000 in decimal is 0

Converting 00000000 to decimal
=> 00000000
=> 0x2^7+0x2^6+0x2^5+0x2^4+0x2^3+0x2^2+0x2^1+0x2^0
=> 0x128+0x64+0x32+0x16+0x8+0x4+0x2+0x1
=> 0+0+0+0+0+0+0+0
=> 0
00000000 in decimal is 0

===================================================================================
||    11010010.11110000.00000000.00000000 in decimal notation is 210.240.0.0    ||
===================================================================================
==========================================
||    So, Network ID is 210.240.0.0    ||
==========================================
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