$\require{cancel}$
 
Not operation
    -  The not operation
    
         -  Description: This operation take a single value and negates it.
         
 -  Expression: f(x) = x'
         
             -  Sometimes written $\lnot x$, x
             
 -  I will use either x' (our book) or x (Many other books, but harder to make in html)
         
 
          -  Truth Table
         
             -  Building truth tables.
               
 -  For a truth table, list all possible permutations of the input
               
 -  Then list the output values.
               
 -  If there are n variables, there will be $2^n$ output values.
            
 
             -  When building a truth table, 
            
               -  Write the $n$ input variables across the top.
               
 -  Then count from 0 to $2^n$ in binary  under these.
            
 
             -  For not there is a single variable, so there are $2^1 = 2$ rows or output values.
            
 -  
         
 
          -  The symbol for a not gate
         
             -  A triangle with a circle on the end.
             
 -  
              -  Talk about drawing this on tests.
         
 
     
     Not is sometimes called in inverter
    
        -  And we invert the input or output of a gate/circuit.
        
 -  The input is inverted, (not notted)
    
 
     Not from transistors.
    
       -  We can implement a not gate from two transistors.
       
 -  A positive voltage goes to the emitter of the PNP
       
 -  A  the emitter of the NPN is hoked to the ground
       
 -  The two collectors are hooked together and form the output of the circuit
       
 -  The input value (x above) is hooked to both bases.
       
 -  
        -  The digital file
    
 
     Not with other gates
    
        -  Nots are frequently displayed as just a circle with other gates.
        
 -  This is an and gate
        
         -  This is an and gate with the first input inverted
        
         -  To do this in digital
        
            -  Right click on the gate.
            
 -  Click on the button associated with  Inverted inputs:
            
 -  Select the inputs you wish to invert.