Math Help: Get Expert Assistance with Your Assignments

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Discussion Overview

The discussion revolves around a math assignment involving the conversion of a binary number, specifically $100101_2$, into decimal form and finding a missing base in an equation. The scope includes mathematical reasoning and problem-solving related to number bases.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant requests help with a math assignment involving the binary number $100101_2$.
  • Another participant asks for the decimal equivalent of $100101_2$.
  • A further contribution provides a detailed breakdown of the binary number's conversion to decimal, expressing it as a sum of powers of 2.
  • This same participant suggests equating the result to a base $x$ representation of the number 31 and solving for $x$.
  • One participant expresses gratitude for the assistance provided.

Areas of Agreement / Disagreement

Participants appear to agree on the need to convert the binary number to decimal and to find the missing base, but the discussion does not resolve the specific values or methods to be used.

Contextual Notes

Some assumptions about the definitions of number bases and the methods for conversion may be implicit in the discussion. The mathematical steps involved in solving for $x$ remain unresolved.

vivalajuicy
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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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