00:01
Hello students in the question we are given a function.
00:03
We have to write its minimized form.
00:06
We have here sum of product sop form here.
00:23
Let us first draw the k map for given function.
00:27
So here we have variables a b c d we can write here 0 0 0 1 1 1 1 0 corresponding to this we have variables c bar d bar c bar d c d and c d bar.
00:51
Similarly here we have 0 0 0 1 1 1 1 0 a bar b bar a bar b a b a b bar.
01:07
Let us number the cells.
01:10
We have 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15.
01:27
Here we have 1's at 0 1 2 3 5 7 8 9 11 and 14.
01:40
Let us identify the groups.
01:43
Here we have one quad.
01:45
This is another quad.
01:52
We have one another quad this year and this is also a quad while this here is a single.
02:07
Here we have 4 quads plus 1 single.
02:16
So we can write here our function f a b c d.
02:25
It is equal to corresponding to this quad.
02:28
Here we have a bar b bar plus corresponding to this quad.
02:36
We have here a bar b plus corresponding to this quad.
02:43
We can write b bar b plus.
02:48
Now let us look at this quad.
02:50
Here we have b bar c bar plus the single a b c d bar...