vivalajuicy
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math assignment help please
The discussion focuses on converting the binary number $100101_2$ to its decimal equivalent and solving for an unknown base in the equation $31_x = x^0\times 1+x^1\times 3$. The conversion process involves calculating the decimal value using the formula $2^0\times 1 + 2^1\times 0 + 2^2\times 1 + 2^3\times 0 + 2^4\times 0 + 2^5\times 1$. The participants conclude that the result must equal 31 in an unknown base, leading to the equation that needs to be solved for $x$.
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vivalajuicy said:math assignment help please
pickslides said:Firstly, what is $100101_2$ in decimal?
pickslides said:It is, but more accurately $2^0\times 1+2^1\times 0+2^2\times 1+2^3\times 0+2^4\times 0+2^5\times 1 = \dots$
Make that result equal to $31_x = x^0\times 1+x^1\times 3$ and solve for $x$