Question

In: Computer Science

Convert the following binary number to dotted decimal format. 11000000100110010000100101011001

Convert the following binary number to dotted decimal format.

11000000100110010000100101011001

Solutions

Expert Solution

192.153.9.89

Explanation:
-------------
11000000.10011001.00001001.01011001
Let's convert all octets to decimal separately
Converting 11000000 to decimal
Converting 11000000 to decimal
11000000
=> 1x2^7+1x2^6+0x2^5+0x2^4+0x2^3+0x2^2+0x2^1+0x2^0
=> 1x128+1x64+0x32+0x16+0x8+0x4+0x2+0x1
=> 128+64+0+0+0+0+0+0
=> 192
11000000 in decimal is 192

Converting 10011001 to decimal
Converting 10011001 to decimal
10011001
=> 1x2^7+0x2^6+0x2^5+1x2^4+1x2^3+0x2^2+0x2^1+1x2^0
=> 1x128+0x64+0x32+1x16+1x8+0x4+0x2+1x1
=> 128+0+0+16+8+0+0+1
=> 153
10011001 in decimal is 153

Converting 00001001 to decimal
Converting 00001001 to decimal
00001001
=> 0x2^7+0x2^6+0x2^5+0x2^4+1x2^3+0x2^2+0x2^1+1x2^0
=> 0x128+0x64+0x32+0x16+1x8+0x4+0x2+1x1
=> 0+0+0+0+8+0+0+1
=> 9
00001001 in decimal is 9

Converting 01011001 to decimal
Converting 01011001 to decimal
01011001
=> 0x2^7+1x2^6+0x2^5+1x2^4+1x2^3+0x2^2+0x2^1+1x2^0
=> 0x128+1x64+0x32+1x16+1x8+0x4+0x2+1x1
=> 0+64+0+16+8+0+0+1
=> 89
01011001 in decimal is 89

====================================================================================
||    11000000.10011001.00001001.01011001 in decimal notation is 192.153.9.89    ||
====================================================================================



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