Question

What is the subnet address for a host with the IP address 200.0.0.26 /29

		200.0.0.8
		200.0.0.12
		200.0.0.20
		200.0.0.24
		20.0.0.16

Answer 1

d)  200.0.0.24

Explanation:
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IP Address: 200.0.0.26
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Let's first convert this into binary format
200.0.0.26
Let's convert all octets to binary separately
Converting 200 to binary
Divide 200 successively by 2 until the quotient is 0
   > 200/2 = 100, remainder is 0
   > 100/2 = 50, remainder is 0
   > 50/2 = 25, remainder is 0
   > 25/2 = 12, remainder is 1
   > 12/2 = 6, remainder is 0
   > 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 11001000
So, 200 of decimal is 11001000 in binary
200 in binary is 11001000

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

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

Converting 26 to binary
Divide 26 successively by 2 until the quotient 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 11010
So, 26 of decimal is 11010 in binary
26 in binary is 00011010

=================================================================================
||    200.0.0.26 in binary notation is 11001000.00000000.00000000.00011010    ||
=================================================================================

Subnet mask is /29

For Calculating network ID, keep first 29 bits of 11001000.00000000.00000000.00011010 and set all remaining bits to 0.
so, network ID in binary is 11001000.00000000.00000000.00011000
11001000.00000000.00000000.00011000:
----------------------------------------
11001000.00000000.00000000.00011000
Let's convert all octets to decimal separately
Converting 11001000 to decimal
Converting 11001000 to decimal
11001000
=> 1x2^7+1x2^6+0x2^5+0x2^4+1x2^3+0x2^2+0x2^1+0x2^0
=> 1x128+1x64+0x32+0x16+1x8+0x4+0x2+0x1
=> 128+64+0+0+8+0+0+0
=> 200
11001000 in decimal is 200

Converting 00000000 to decimal
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
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 00011000 to decimal
Converting 00011000 to decimal
00011000
=> 0x2^7+0x2^6+0x2^5+1x2^4+1x2^3+0x2^2+0x2^1+0x2^0
=> 0x128+0x64+0x32+1x16+1x8+0x4+0x2+0x1
=> 0+0+0+16+8+0+0+0
=> 24
00011000 in decimal is 24

==================================================================================
||    11001000.00000000.00000000.00011000 in decimal notation is 200.0.0.24    ||
==================================================================================
=========================================
||    So, Network ID is 200.0.0.24    ||
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