The numbers from 0-9 are here represented as they appear in digital clocks:

     
    __         __     __            __     __   __     __    __ 
   |  |   |    __|    __|   |__|   |__    |__     |   |__|  |__| 
   |__|   |   |__     __|      |    __|   |__|    |   |__|   __|

An example of a multiplication (a 2-digit number by an 1-digit number) unidentified because some "LEDs" failed and are "off" (they had to be "on") is shown at left, and the correct one is shown at right (the alignment is perfect):

                                            __     __
                     |                      __|   |__|
           |                               |__    |__|
                                                   __
                                                  |__| 
            x     |                         x     |__|
   -------------------              ------------------
            __                       __     __    
       |    __       |               __|    __|   |__|   
    |      |         |              |__    |__       |

Can you "turn on" the failing "LEDs" in the 3-digit by 3-digit multiplication below?

                                          __     __
                                  |                |
                                  |      |     
                            x      __            
                                     |    __      
                                            |   |__
                            ------------------------
                                                 
                                  |  |      |   
                            __|             |   |  | 
                            __            
                       |   |         |    __|
                    |              __    
                                   
                |      |          |
                |    __    |  |    __ 
             ---------------------------------------
                                                 __
                |    __       |    __    |  |   
                |   |         |    __            __

(In reply to confused by Monica)

I think what Monica meant about allignment is that she doesnt realise this is long multiplication, at least that would be what she meant if she understood the problem but maybe I should post this in contradictions!

Posted by Percy on 2005-08-19 20:07:47