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KCC's Quizzes AQQ292 about weighing using 2-plates scale

		
	
				

			

									
					    KCC
					
							

            
            			
				
									
											
			
			
				
  •  Analog Employees  

			
			
			    	
			                    
                
				                on Sep 30, 2025 
				
			
			
		

		
		                     
				
        		

		    
		    		    
		    			

			    
1. First, the quote of the week: "Some people create their own storms and then get mad when it rains" - Unknown


                                              




 2. New challenge with AQQ292 about using a two-plates scale.


This is a kind proposal from a frequent participant: Herman Neufeld, Analog & Mixed Signals Specialist):


  


You are asked to design a two-dish scale that weighs amounts of a substance from 1 to 40 grams in integer amounts.


Hence your task is to determine:


    

  1. What is the minimum number counterweights you need?
    2. 

  2. What are the weigh values of these counterweights?
    3. 



These, in order to weigh this substance,




Good luck and try to be among the first ones!


P.S. Please forward such quizzes to friends and colleagues who want also to "relax" their brains...

			

			
									
		                             
                        

    

                                            
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                on Sep 30, 2025 2:12 PM
            
            
						
			            		
    
		
								
	
    

		
		
    
		
    
                                
                                                            
    
					
    In simple binary system we can make any number with combination of 2's powers so it could be 1,2,4,8,16,32 with these combination we can achieve any weight. 
    If we want minimum we can try for 3 as well like 1,3,9,27 or may be 4 also 1,4,16,32 but with 4 we can't make 3 or other so no need to try more
    Then 1,3,9,27 will be the minimum possible numbers to achieve the weight example 26 - (27-1) one with 27 and other with 1 example 40 then will keep all four at one side. 
    Maximum achievable weight with this combination will be 40
    
			
    

		
			
	      

		
		
	
    
	
    
		
    
			
		
    
	
    
	
    
		
						
				
				
						
				
				
		
		
    
			
		
    
	
    

    

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Reply

    


  • 
	
    






    
	
    
		
    
							
					
    
		
    
		    
		    		    
			
				
									
							        
			
			
			
            
						
                            
            
            				
            
                on Sep 30, 2025 2:12 PM
            
            
						
			            		
    
		
								
	
    

		
		
    
		
    
                                
                                                            
    
					
    In simple binary system we can make any number with combination of 2's powers so it could be 1,2,4,8,16,32 with these combination we can achieve any weight. 
    If we want minimum we can try for 3 as well like 1,3,9,27 or may be 4 also 1,4,16,32 but with 4 we can't make 3 or other so no need to try more
    Then 1,3,9,27 will be the minimum possible numbers to achieve the weight example 26 - (27-1) one with 27 and other with 1 example 40 then will keep all four at one side. 
    Maximum achievable weight with this combination will be 40
    
			
    

		
			
	      

		
		
	
    
	
    
		
    
			
		
    
	
    
	
    
		
						
				
				
						
				
				
		
		
    
			
		
    
	
    

    

    • 





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