OK so in this one we're going to do the max term with K maps.
So we're looking at this example over here we have ABC NY where we have only three zeroes here so we
prefer to do max term instead of them in the max term we just do the opposite.
So instead of a not being a zero we say A instead of B.
Now that's a B instead of C nodded.
That's a C and so it's a plus plus the same thing over here.
Same thing for each of these for this line which is the right over here.
We have a not so it's a zero The B as is the C as is an A plus be a not a plus.
B plus C would give you zero if they're all zeros.
And same thing for the next case over here.
It's a max term and we have a knotted B not A plus C and that's can be all zeros.
So that's what we have.
Now here's the diagram we're going to put whatever information we need into the guy from the diagram
this should be only three things.
We have one two and three.
This is one.
But remember also that over here this one with this one is also one.
So those two together are also one.
So at the end of the day in this one what can cancels the B cancels and in the one that goes from side
to side the H cancels.
So what we're left with is we have a B plus C that's what we're left with and for the first one that
we mention.
And then we have times the A Not plus C and that's equal to Y and that's going to be easier.
So are we in for this one to be Kansas.
We have a we have a not.
See and then for the when it goes across we have to 18:6 of B or C and that's your Y.
OK.
So again that's the max term.
Let's go to the other one over here.
Let's go to the other one over here which is we're going to have again we're going to look for the zeros
that's a zero because there's less of them and we're going to set this up.
Now we just have to put in the terms wherever it is that they're supposed to go.
So let me put in my ones where they belong.
We have 1 one over there.
We have now one over here and one over here.
Now if we're going to do that we This works just like we thought before and what we need to do is very
simple which is just highlight the ones that are relevant.
This one and only made twos or fours and that one.
So if you want to do out that Max.
The max term now it's a not Clasby not and it's B Class C not and that equals to Y and that is the max
term.
OK so the next thing that I just want to mention is what to do if there's don't cares now I don't care
basically just means we're going to do something like put X's over here so we have four terms and we
have and we have only one one that matters and there's lots of cases when he could do this like a b
b c d code 841.
Irrelevant what that is right now.
But basically those those last ones are not used.
So when we do our math the one that actually matters that came out over here this is a minter is right
there.
The rest these over here are Xs.
Now we don't really care about the x's but because they don't cares obviously.
But what we could say is that we could highlight these four.
OK.
We can highlight four because we could do 1 2 4 8 and over here we see the B's can so so we're left
with an A and the C's cancel so we're left with a D.
So that actually is a times d equals Y which is simply than a B not seen the it's just eight times the.
And that's the equivalent of this.
So if we have a simplified expression with with the don't cares we could do that so you can use a don't
care as a one but we don't have to we don't list them later on because they don't actually matter which
we can use a don't care with a watch.
You could of course who came up with five variables so you'd have two sets of four variables and it
could get quite complicated.
But this is the idea.