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What is the equivalent decimal value given a binary number of 11001010?

Question

What is the equivalent decimal value given a binary number of 11001010?

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Solution

Sure, here is the step by step process to convert the binary number 11001010 to a decimal number:

  1. Write down the binary number and list the powers of 2 from right to left. Start with 2^0 and increase the exponent by 1 each time:

    1 1 0 0 1 0 1 0 2^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0

  2. Multiply each binary digit by the corresponding power of 2:

    12^7 = 128 12^6 = 64 02^5 = 0 02^4 = 0 12^3 = 8 02^2 = 0 12^1 = 2 02^0 = 0

  3. Add up all the results:

    128 + 64 + 0 + 0 + 8 + 0 + 2 + 0 = 202

So, the equivalent decimal value of the binary number 11001010 is 202.

This problem has been solved

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