LED should display zero, one, two, three, four, five, six, seven, eight and nine

Question

LED should display zero, one, two, three, four, five, six, seven, eight and nine. For each segment a-g, figure out whether it needs to be on for the particular digit it is trying to display. For example, to display zero: a, b, c, d, e and f are ON and only g is OFF. You need to figure out the formula for each segment by completing the following formulas: a = zero + b = zero + c = zero + d = zero + e = zero + f = zero + NOW assume the input is the number or bits you determined above and its named i. We will reference 0^th bit as i[0] and 1^st bit as i[1] and so on. We can now complete the design by figuring out the corresponding bit pattern for each of the signals zero through nine. (This is usually call a decoder) Your answer should be in terms of i[N] and not is and 0s. zero = = three = four = five = six = seven = eight = nine =

Explanation / Answer

Part A

a = Zero + two +Three + five + six + seven +eight + nine.

b = Zero + one + two +Three   + four+ seven +eight + nine

c = Zero + one +Three + four + five + six + seven +eight + nine

d = Zero + two +Three + five + six +eight

e = Zero + two + six +eight

f = Zero   + four + five + six +eight+nine

g = two +Three + four + five + six +eight + nine

Part B

   Let i[0] , i[1], i[2] , I[3] , I[4] , I[5] , I[6]    representing wither 0 or 1

So for zero = i[0] , i[1], i[2] , I[3] , I[4] , I[5]    should be 1      

      i[2]    should be 1         

    two = i[0] , i[1], I[3] , I[4] , I[6]    should be 1    

         three = i[0] , i[1], i[2] , I[3] , I[6]    should be 1      

      four = i[1],i[2] , I[5] , I[6]    should be 1    

five = i[0] , i[2] , I[3] , I[5] ,I[6]    should be 1   

six = i[0] , i[2] , I[3] , I[4] I[5] ,I[6]    should be 1     

seven = i[0] , I[1] , I[2]   should be 1   

eight = i[0] , I[1], i[2] , I[3] , I[4] I[5] ,I[6]    should be 1   

nine = i[0] , I[1], i[2] ,I[5],I[6]    should be 1



Thanks, let me know if there is any concern.

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