Question 1010652
<pre>
I think that may be too advanced for you.  Here's the more
elementary way to do the conversions.
</pre>
Convert the following binary numbers to decimal and show your 
calculations: 10101100011 and 10011111
<pre>
List the digits in a vertical column, each followed by " + 2×"    

1 + 2×
0 + 2×
1 + 2×
0 + 2×
1 + 2×
1 + 2×
0 + 2×
0 + 2×
0 + 2×
1 + 2×
1 + 2×

Begin with a 0 after the × on the first row, then an equal sign, 
then do the calculation and put the answer after another equal sign:

1 + 2×0 = 1 + 0 = 1 
0 + 2×
1 + 2×
0 + 2×
1 + 2×
1 + 2×
0 + 2×
0 + 2×
0 + 2×
1 + 2×
1 + 2×

Then put that result, 1, after the × on the 2nd row, 
then do that calculation and put that answer after 
another equal sign:

1 + 2×0 = 1 + 0 = 1 
0 + 2×1 = 0 + 2 = 2 
1 + 2×
0 + 2×
1 + 2×
1 + 2×
0 + 2×
0 + 2×
0 + 2×
1 + 2×
1 + 2×
 
Then put that result, 2, after the × on the 3rd row, 
then do that calculation and put that answer after 
another equal sign:

1 + 2×0 = 1 + 0 = 1 
0 + 2×1 = 0 + 2 = 2 
1 + 2×2 = 1 + 4 = 5
0 + 2×
1 + 2×
1 + 2×
0 + 2×
0 + 2×
0 + 2×
1 + 2×
1 + 2×

Keep doing that all the way down to the bottom:

1 + 2×0 = 1 + 0 = 1 
0 + 2×1 = 0 + 2 = 2 
1 + 2×2 = 1 + 4 = 5
0 + 2×5 = 0 + 10 = 10 
1 + 2×10 = 1 + 20 = 21 
1 + 2×21 = 1 + 42 = 43 
0 + 2×43 = 0 + 86 = 86
0 + 2×86 = 0 + 172 = 172
0 + 2×172 = 0 + 344 = 344
1 + 2×344 = 1 + 688 = 689 
1 + 2×689 = 1 + 1378 = 1379

Answer = 1379

Now you do the other one the same way.
</pre>
Convert the following decimal numbers to binary and show your 
calculations: 7625
<pre>
Start by dividing 7625 by 2, getting 3812 with remainder 1 
and placing the remainder R=1 out beside the quotient.
Then divide the quotient 3812 by 2, getting 1906 with remainder 0
and placing the quotiont R=0 out beside the quotient.
Do that all the way down until the quotient is 0.

2)<u>7625</u>
2)<u>3812</u> R=1
2)<u>1906</u> R=0
 2)<u>953</u> R=0
 2)<u>476</u> R=1
 2)<u>238</u> R=0
 2)<u>119</u> R=0
  2)<u>59</u> R=1
  2)<u>29</u> R=1
  2)<u>14</u> R=1
   2)<u>7</u> R=0
   2)<u>3</u> R=1
   2)<u>1</u> R=1
   2)<u>0</u> R=1      

Now take those remainders in reverse order,
that is, from the bottom to the top:

1110111001001

That's the answer.

Now you do the other one the same way. 

Edwin</pre>