October 06, 2018 -
CCNA Skills,Subnetting
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IPv4 Subnetting: Decimal to Binary Conversion
255 | = | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
11111111 | = | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Recall that in subnetting, the maximum value of a subnet in every octet is 255. Our maximum number here for each octet is 255.
There were 3 arithmetic operations that allow us to convert decimal (considering the maximum number value of 255) to binary.
Given the value of 224
Procedure: The given number (n) is repetitively divided by the base value of binary which is two (2) until the value of n reaches zero(0).
Rule: If the remainder of given number (n) divided by the base value of binary which is two (2) equals to whole number, set the bit position to zero(0) else one (1). To write the equivalent binary number you start from bottom to top.
225 | 224 | |||
225/2 | 1 | 224/2 | 0 | |
112.5/2 | 1 | 112/2 | 0 | |
56.25/2 | 1 | 56/2 | 0 | |
28.13/2 | 1 | 28/2 | 0 | |
14.06/2 | 1 | 14/2 | 0 | |
7.03/2 | 1 | 7/2 | 1 | |
3.51/2 | 1 | 3.5/2 | 1 | |
1.75/2 | 1 | 1.75/2 | 1 |
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