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To convert the octal number (75)8 to its decimal (base 10) equivalent.

Chemistry

ScanSolve AI Answer

Answer

61

Step-by-step solution

3 steps

✅ Correct!

  1. Interpret the problem.

    The problem asks to convert the octal number (75)8(75)_8 to its decimal (base 10) equivalent.

  2. Review the student's conversion steps.

    The student correctly applied the formula for converting an octal number to decimal:
    For (d1d0)8(d_1 d_0)_8, the decimal equivalent is d1×81+d0×80d_1 \times 8^1 + d_0 \times 8^0.
    The student wrote:

    7×81+5×807 \times 8^1 + 5 \times 8^0 7×8+5×17 \times 8 + 5 \times 1 56+556 + 5 611061_{10}
  3. Verify the calculations.

    • 7×8=567 \times 8 = 56
    • 5×1=55 \times 1 = 5
    • 56+5=6156 + 5 = 61

    All steps and calculations are correct.

    The final answer is 61.

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