+0  
 
+4
19
2
avatar+84 

Express the product of 10012 and 1233 in base 10.

 Jul 6, 2023
edited by ZBRS7311  Jul 6, 2023
 #1
avatar+40 
+2

+Let us convert both of the following numbers into base 10: 

We can express \(1001\) as:

\(10^3+10^0\), then putting in 2 instead of 10, we get 9. So 1001 base 2 is equal to 9 in base 10.

 

We can express 200 (I know you put 123, but 123 isn't a valid number in base 3, so I did the regrouping for you) as:

\(2*10^2\), then plugging in 3, we get 2*9 or 18. (

 

Multiplying 18 and 9 we get \(\boxed{162}\)

 Jul 6, 2023
 #2
avatar+674 
+1

 

    >>>>>>  123 isn't a valid number in base 3  <<<<<<   

 

So you concluded that the intent was 1223 + 13 which is 200.  Excellent.      

.

Bosco  Jul 6, 2023

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