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Convert both numbers to base 10.

Chemistry

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Here are the solutions for the questions from the image:

1a. If 251m=100two251_m = 100_{\text{two}}. Find the value of m

  1. Convert both numbers to base 10.

    For 251m251_m:

    2×m2+5×m1+1×m0=2m2+5m+12 \times m^2 + 5 \times m^1 + 1 \times m^0 = 2m^2 + 5m + 1

    For 100two100_{\text{two}}:

    1×22+0×21+0×20=4+0+0=41 \times 2^2 + 0 \times 2^1 + 0 \times 2^0 = 4 + 0 + 0 = 4

  2. Set the base 1

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