Engineering Karno Maps for Seven Segment Display Circuits - CAPSULE Spelling Exercise

[fallen186]

Homework Statement

Three input and seven output. Do the karno map.
This is suppose to be a seven segment display ( like the ones in digital clocks.) I am suppose to spell a word. My word was CAPSULE. I got an error and I can't trace it.


CAPSULE:

A B C | a | b | c | d | e | f | g |
---------------------------------------
0 0 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0 |
0 0 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 |
0 1 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 |
0 1 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 |
1 0 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 |
1 0 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0 |
1 1 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 |
1 1 1 | x | x | x | x | x | x | x |

Karno map
a
1 | 1 | 1 | 0
1 | 1 | x | 0

= A' + B

b
0 | 1 | 0 | 1
1 | 0 | x | 0

= (AB)'C + A'BC'+ A(BC)'

c
0 | 0 | 0 | 1
1 | 1 | x | 0

= A'C + BC + A(BC)'

d
1 | 0 | 1 | 1
0 | 1 | x | 1

=A + BC + (BC)'

e
1 | 1 | 1 | 1
1 | 0 | x | 1

= C' + B'

f
1 | 1 | 1 | 1
1 | 1 | x | 1

F = 1
** By the way how do I make a circuit of this. I orginally did A' + A

g
0 | 1 | 1 | 0
1 | 1 | x | 0

= B + A'C

Any help will make me greatful

 

[LCKurtz]

Is the word CAPSULE to be spelled out as the binary inputs cycle in order from 0 through 6?

I haven't done Karnaugh maps for an age but as I recall, don't you want to list the binaries under ABC as a reflected gray code? And the answer to f is just connect that input to v_c.

Also, for example in your expression for b, where you write expressions like (AB)'C, where apparently you mean A'B'C, those expressions aren't equal and your expression isn't correct.