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!
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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