Simplify Boolean function using Karnaugh map method F (A, B, C, D): Σ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15) Also, draw the corresponding logic circuit diagram. 8m Jun2007

By | June 17, 2015

Construct the Karnaugh map for the following function, and find the function in sum of product form. Draw the resultant logic diagram. F (A, B, C, D): Σ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15). 5m Dec2007

 K-Map for F is:

Kmap006

Thus, the simplified equations for F (A, B, C, D) = Σ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)

are:

F = B|CD+|B|D+|AB

Logic diagram:-

Logic_Diag04

 

 

(b) Draw the logic diagram for a 4 x 4 random access memory. Assume that the cells of RAM are made of R – S flip-flop.                        5

 

D flip-flop using R – S flip-flop Solved Answer can be found on this link http://thalia.spec.gmu.edu/~pparis/classes/notes_101/node116.html