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How do you know if you should use 3 variables for 4 variables in IC design?

  1. Sep 24, 2005 #1
    Hello everyone, I just noticed, my IC for numbers greater then 9 to output 1, has 4 variables, why does it have to have 4 variables? couldn't I just use ABC?, because isn't 0000 == 000 and 1001 == 101, isn't 1001 9 and 101 9 also? whats the difference? I think if i just used 3 variables instead of 4 it will make the boolean expression must easier to simplfy! because then i could probably use a k-map to help me out. Here is my orginal implementation of a Boolean expression to output 1 if the number is > 9. click here Could this be implemented with 3 variables?
     
    Last edited: Sep 24, 2005
  2. jcsd
  3. Sep 24, 2005 #2
    000---0
    001---1
    010---2
    011---3
    100---4
    101---5
    110---6
    111---7
    1000--8
    1001--9

    Counting in binary.
     
  4. Sep 24, 2005 #3
    You seem to be having trouble with number system representation. If a system has a base of 'nine' through 'sixteen' (Base 9 => 0 through 8) it needs four variables for representation. 101 = 5!

    KM
     
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