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    Decimal equivalent number of the binary number is
    Question

    Decimal equivalent number of the binary number is

    A.

    150

    B.

    160

    C.

    140

    D.

    170

    Correct option is D

    To convert the binary number (10101010)2 to its decimal equivalent, we expand it based on positional values:(10101010)2=1×27+0×26+1×25+0×24+1×23+0×22+1×21+0×20Now calculate each term:=1×128+0×64+1×32+0×16+1×8+0×4+1×2+0×1=128+32+8+2=170\text{To convert the binary number } (10101010)_2 \text{ to its decimal equivalent, we expand it based on positional values:} \\(10101010)_2 = 1 \times 2^7 + 0 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 \\\text{Now calculate each term:} \\= 1 \times 128 + 0 \times 64 + 1 \times 32 + 0 \times 16 + 1 \times 8 + 0 \times 4 + 1 \times 2 + 0 \times 1 \\= 128 + 32 + 8 + 2 \\= 170​​

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