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What is the decimal format of the following binary IP address? 11001110.00111010.10101010.01000011

(A) 206.58.170.67
(B) 206.154.170.67
(C) 206.58.170.131
(D) 206.58.170.65

User HungryMind
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1 Answer

6 votes

Final answer:

The binary IP address 11001110.00111010.10101010.01000011 converts to decimal as 206.58.170.67, each octet being translated to decimal format by applying binary to decimal conversion, making option (A) the correct answer.

Step-by-step explanation:

To convert the binary IP address 11001110.00111010.10101010.01000011 into decimal format, we need to convert each octet from binary to decimal. The process involves multiplying each bit by its corresponding power of 2 value and adding the results. The powers of 2 values for an 8-bit binary number (from left to right) are 128, 64, 32, 16, 8, 4, 2, and 1.

  • First octet: 11001110 = (1×128) + (1×64) + (0×32) + (0×16) + (1×8) + (1×4) + (1×2) + (0×1) = 206
  • Second octet: 00111010 = (0×128) + (0×64) + (1×32) + (1×16) + (1×8) + (0×4) + (1×2) + (0×1) = 58
  • Third octet: 10101010 = (1×128) + (0×64) + (1×32) + (0×16) + (1×8) + (0×4) + (1×2) + (0×1) = 170
  • Fourth octet: 01000011 = (0×128) + (1×64) + (0×32) + (0×16) + (0×8) + (0×4) + (1×2) + (1×1) = 67

Therefore, the decimal representation of the binary IP address is 206.58.170.67, which corresponds to choice (A).

User Jarrodparkes
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