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SUMMARY

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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Students seeking assistance with math assignments, educators teaching number systems, and anyone interested in understanding base conversions and algebraic problem-solving.

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math assignment help please
 
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Re: Find the missing base 100101 two = 31 ______

vivalajuicy said:
math assignment help please

Firstly, what is $100101_2$ in decimal?
 
Re: Find the missing base 100101 two = 31 ______

pickslides said:
Firstly, what is $100101_2$ in decimal?

a whole number
 
Re: Find the missing base 100101 two = 31 ______

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 $x$
 
Re: Find the missing base 100101 two = 31 ______

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 $x$

thank you!
 

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