MHB Math Help: Get Expert Assistance with Your Assignments

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The discussion focuses on converting the binary number $100101_2$ into its decimal equivalent. Participants clarify that $100101_2$ equals 37 in decimal, calculated using the powers of 2. The conversation then shifts to equating this result to the expression $31_x$, which represents a number in an unknown base x. The goal is to solve for x by setting the two expressions equal. The thread emphasizes the importance of understanding base conversions in math assignments.
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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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