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Convert the octal number 35 to decimal.

Mathematics

ScanSolve AI Answer

Answer

29

Step-by-step solution

6 steps
  1. Identify the octal number to be converted.

    The instruction is "convert octal to decimal". The number provided is "35". We will assume this is an octal number, 35835_8. The subscript "10" next to "35" indicates the target base (decimal). The part "-(2)2" is unclear and will be disregarded as it does not fit the conversion instruction for the number 35.

  2. Write the formula for converting an octal number to base 10.

    To convert an octal number (d1d0)8(d_1 d_0)_8 to base 10, we use the formula:

    d1×81+d0×80d_1 \times 8^1 + d_0 \times 8^0
  3. Apply the formula to 35835_8.

    For 35835_8, d1=3d_1 = 3 and d0=5d_0 = 5.

    358=3×81+5×8035_8 = 3 \times 8^1 + 5 \times 8^0
  4. Calculate the powers of 8.

    80=18^0 = 1 81=88^1 = 8
  5. Substitute the powers and perform the multiplications.

    358=3×8+5×135_8 = 3 \times 8 + 5 \times 1 358=24+535_8 = 24 + 5
  6. Perform the addition.

    358=2935_8 = 29

    Therefore, 35835_8 is equal to 291029_{10}.

    The final answer is 29.

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