2 to the power of x
Binary means dual or double. Those 2 numbers are 1 or 0
Combination can either be 1-0, 0-1, 0-0, 1-1.
Because a Binary is just 2 numbers hence it is always calculated in the power of 2.
E.g. If we have 1 Binary bit that means its (decimal) value is 2. If we have 2 binary then we have to calculate 2x2=4 (which is also called (22). If we have 3 binary then it’s Decimal value is (23)=2x2x2=8.
An IP Address (E.g. 10.0.0.1) is 4 Byte (which means 32 bits) Decimal Address divided into 4 parts (1 byte for 1 part) separated by a dot.
Each byte is 8 binary bits. Those 8 bits look like this…
Binary Value
1
1
1
1
1
1
1
1
Power of 2
(2^7)
2^6)
2^5)
2^4)
2^3)
2^2)
2^1)
2^0)
Calculation
2x2x2x2x2x2x2x
2x2x2x2x2x2
2x2x2x2x2
2x2x2x2
2x2x2
2x2
2
1
If However, we add all these bits then it becomes…
128+64+32+16+8+4+2+1 = 255. That means we have 1-255 IP Addresses in a single octet/byte.
Reference:
HOW 2 to the power of 0 = 1 https://youtu.be/hTIAWT8m_hk
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