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To convert an octal number to decimal. The number given is "35". The "(10)" indicates the target base is decimal. The "-(2)2" part is interpreted as subtracting the decimal value 2, which is represent

Chemistry

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Step 1: Interpret the problem.
The problem asks to convert an octal number to decimal. The number given is "35". The "(10)" indicates the target base is decimal. The "-(2)2" part is interpreted as subtracting the decimal value 2, which is represented as 10210_2 in binary.

Step 2: Convert the octal number 35835_8 to decimal.
To convert 35835_8 to base 10, we use the formula d1×81+d0×80d_1 \times 8^1 + d_0 \times 8^0.

358=3×81+5×8035_8 = 3 \times 8^1 + 5 \times 8^0 358=3×8+5×135_8 = 3 \times 8 + 5 \times 1 358=24+535_8 = 24 + 5 358=291035_8 = 29_{10}

Step 3: Convert the binary number 10210_2 (from "-(2)2") to decimal.
We interpret "-(2)2" as subtracting the decimal value 2. In binary, the decimal number 2 is represented as 10210_2.
To convert 10210_2 to base 10, we use the formula d1×21+d0×20d_1 \times 2^1 + d_0 \times 2^0.

102=1×21+0×2010_2 = 1 \times 2^1 + 0 \times 2^0 102=1×2+0×110_2 = 1 \times 2 + 0 \times 1
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