CONVERT 1001 TWO TO BASE SIX

Chemistry

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Understand the input.

    The number is 1001 in base two (binary). We need to convert it to base six.

  2. Convert the binary number to base ten (decimal).

    The place values in binary are powers of 2, starting from the rightmost digit as 2⁰.
    1001₂ = (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰)
    1001₂ = (1 × 8) + (0 × 4) + (0 × 2) + (1 × 1)
    1001₂ = 8 + 0 + 0 + 1
    1001₂ = 9₁₀

  3. Convert the base ten number to base six.

    To convert 9₁₀ to base six, we use division with remainder.
    Divide 9 by 6:
    9 ÷ 6 = 1 remainder 3

    The quotient is 1, and the remainder is 3.
    Read the remainders from bottom to top.
    So, 9₁₀ = 13₆.

    The identity of the trig_ratio 1+TAN'X is sec²(x).

    1001₂ in base six is 13₆.

    3 done, 2 left today. You're making progress.

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