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Convert the binary numbers to base 10.

Computer Science

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Here are the solutions to the problems from the image:

1. Divide 1101001two1101001_{\text{two}} by 101two101_{\text{two}}.

Step 1: Convert the binary numbers to base 10.

1101001two=1⋅26+1⋅25+0⋅24+1⋅23+0⋅22+0⋅21+1⋅201101001_{\text{two}} = 1 \cdot 2^6 + 1 \cdot 2^5 + 0 \cdot 2^4 + 1 \cdot 2^3 + 0 \cdot 2^2 + 0 \cdot 2^1 + 1 \cdot 2^0
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