# Circuits and Karnomaps

1. Oct 25, 2009

### fallen186

1. The problem statement, all variables and given/known data
Three input and seven output. Do the karno map.
This is suppose to be a seven segment display ( like the ones in digital clocks.) Im 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

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Oct 26, 2009

### 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 vc.

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.

Last edited: Oct 26, 2009