Change of base

[vivalajuicy]

math assignment help please

 

[pickslides]

Re: Find the missing base 100101 two = 31 ______

math assignment help please

Firstly, what is $100101_2$ in decimal?

 

[vivalajuicy]

Re: Find the missing base 100101 two = 31 ______

Firstly, what is $100101_2$ in decimal?

a whole number

 

[pickslides]

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 $x$

 

[vivalajuicy]

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 $x$

thank you!!