What represents the decimal equivalence of 10101100 00011111 11001001 11000101?
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A. B. C. D.B
The given value 10101100 00011111 11001001 11000101 is a binary number which needs to be converted into its decimal equivalent. This is an important skill for network engineers, as IP addresses are often represented in both binary and decimal notation.
To convert this binary number to decimal, we need to break it up into four octets, or groups of eight bits each:
10101100 00011111 11001001 11000101
Each octet can be converted to decimal by using the following formula:
decimal = (bit 1 x 2^7) + (bit 2 x 2^6) + (bit 3 x 2^5) + (bit 4 x 2^4) + (bit 5 x 2^3) + (bit 6 x 2^2) + (bit 7 x 2^1) + (bit 8 x 2^0)
Applying this formula to each octet, we get:
10101100 = (1 x 2^7) + (0 x 2^6) + (1 x 2^5) + (0 x 2^4) + (1 x 2^3) + (1 x 2^2) + (0 x 2^1) + (0 x 2^0) = 172 00011111 = (0 x 2^7) + (0 x 2^6) + (0 x 2^5) + (1 x 2^4) + (1 x 2^3) + (1 x 2^2) + (1 x 2^1) + (1 x 2^0) = 31 11001001 = (1 x 2^7) + (1 x 2^6) + (0 x 2^5) + (0 x 2^4) + (1 x 2^3) + (0 x 2^2) + (0 x 2^1) + (1 x 2^0) = 201 11000101 = (1 x 2^7) + (1 x 2^6) + (0 x 2^5) + (0 x 2^4) + (0 x 2^3) + (1 x 2^2) + (0 x 2^1) + (1 x 2^0) = 197
Therefore, the decimal equivalent of 10101100 00011111 11001001 11000101 is 172.31.201.197, which is answer choice B.