Help! POS equation to a K-map

Thread Starter

diamondking3

Joined Mar 16, 2011
14
Hi Guys,

I have a question that im stuck on.
The equation is: (A+B'+C) . (B+C'+D)
How do i turn this into a k-map? where the is no truth table given to me?

Please reply ASAP if you know the answer.

Thank you very much! :p
 

syed_husain

Joined Aug 24, 2009
61
u got 4 input namely A,B,C, and D. that is there will be 2^4 or 16 possible combination (0000 to 1111) . write down all the combination then plug them in the equation provided. u will construct the truth-table. from there transfer it to the 4 variable k-map.
 

syed_husain

Joined Aug 24, 2009
61
i forgot 2 mention that ur equation is not in standard POS format i.e. u need all the variables in each term (in first term varible "d" is missing and in 2nd term "a" is missing).

have u completed the truth table? from there chk when output is "1" that will be ur minterm and the rest maxterm i.e. output "0". (dont forget max and min r complement to each other)
 

Thread Starter

diamondking3

Joined Mar 16, 2011
14
hmmm... How to do the truth table if "D" is missing in the first term and "A" is missing in the second term?

is it like this?

A B C D X
0 0 0 0 0
0 0 0 1 0
0 0 1 0 0
0 0 1 1 0
0 1 0 0 0
0 1 0 1 1
0 1 1 0 0
0 1 1 1 0
1 0 0 0 0
1 0 0 1 0
1 0 1 0 0
1 0 1 1 1
1 1 0 0 0
1 1 0 1 0
1 1 1 0 0
1 1 1 1 0
 

syed_husain

Joined Aug 24, 2009
61
yep it should be like that. now ur minterm is (5,11) and rest is maxterm.

regarding standard POS format: regarding ur problem this is not necessary 2 find out the standard format but if u r asked to find the output function from k-map or draw the combinational cct u must use standard format either POS or SOP.

i solved the function as standard POS format. c the attachment.

hope this will help.

cheers
 

Attachments

Top