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!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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