Decimal of Binary Ka ye Question Salve Kar do 10 Question (164)2, Esi tarah ki 10 Question

Computer Science

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Answer

16410164_{10}

Step-by-step solution

4 steps

Okay, let's convert the binary number 10100100210100100_2 (which is the binary representation of 16410164_{10} from our previous conversation) back to its decimal equivalent.

To convert a binary number to decimal, we multiply each digit by the corresponding power of 2, starting from 202^0 for the rightmost digit, and then sum the results.

The binary number is 10100100210100100_2.

  1. Write out each binary digit multiplied by its corresponding power of 2.

    (1×27)+(0×26)+(1×25)+(0×24)+(0×23)+(1×22)+(0×21)+(0×20)(1 \times 2^7) + (0 \times 2^6) + (1 \times 2^5) + (0 \times 2^4) + (0 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (0 \times 2^0)

  2. Calculate the value of each term.

    (1×128)+(0×64)+(1×32)+(0×16)+(0×8)+(1×4)+(0×2)+(0×1)(1 \times 128) + (0 \times 64) + (1 \times 32) + (0 \times 16) + (0 \times 8) + (1 \times 4) + (0 \times 2) + (0 \times 1)

  3. Perform the multiplications.

    128+0+32+0+0+4+0+0128 + 0 + 32 + 0 + 0 + 4 + 0 + 0

  4. Sum the results.

    128+32+4=164128 + 32 + 4 = 164

    So, the decimal equivalent of 10100100210100100_2 is 16410164_{10}.

    101001002=1641010100100_2 = 164_{10}

    The final answer is 16410\boxed{164_{10}}.

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