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  1. In a number system with radix r, the decimal value of 110 is equal to 4r. The decimal values of 111 and r respective are equal to

  2. A.
    20, 5
    B.
    16, 4
    C.
    13, 3
    D.
    8, 2

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    Answer : Option C

    Explanation :

    (110)r = 4r

    r2 + r = 4r

    r(r - 3) = 0 ⇒ r ≠ 0, r = 3

    (lll)r = 32 + 3 + 1 = 13.


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