combinations - Combinational Circuit with LED Lighting -

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combinational circuit design question.

       ____   |    | f |    | b   |    |    ____    |  g | e |    | c   |    |    ____     d  suppose led display. take input of 4 bit (0000)-(1111) , display hex of it. example if (1100) come in display c turning on afed , turning off bcg.  if (1010) comes in display turning on abcefg  , turn off d.  these display capital letters there no visual difference between 0 , d , 8 , b.  develop truth table , optimized expression using karnaugh maps.

i'm not sure how begin. truth table using (w,x,y,z) input variable or abcdefg variable since it's 1 turning on , off?

input (1010)-->a--> abcefg~d (~ stand not) input (1011)-->b--> abcdefg input (1100)-->c--> adef~b~c~g

so hex 0-f give me min. term canonical use karnaugh map optimize it? grateful!

1) map lights bits:

abcdefg, truth table be:

                   abcdefg input (1010)-->a-->1110110

and on.

you have big table (with 16 rows).

2) follow sample on wikipedia every output light.


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