Page 248 - FUNDAMENTALS OF COMPUTER

NPP

248 Fundamentals of Computers NPP

A B C
B

F

(d) The given expression is: F = πM (0, 1, 7, 9, 12, (d) Cnamoº$ ì`§OH$ F = πM (0, 1, 7, 9, 12, 15) H$m
15). The Karnaugh map can be Drawn as: K-_on {ZåZmZwgma hmoJm:
A B C D 00 01 11 10

00 0 0 1 1

01 1 1 0 1

11 0 1 0 1

10 1 0 1 1

SOP Form Solution: SOP \$m°_© gm°ë`yeZ
Take ‘1’ to form groups: '1' Ho$ J«wn ~ZmZo na:
AB CD 00 01 11 10

00 0 0 1 1

01 1 1 0 1

11 0 1 0 1

10 1 0 1 1

There are two quads and three pairs. The Xmo ŠdmS> VWm VrZ no`a go SOP ê$n _| hb Bg
SOP Form of simplified expression is: àH$ma àmßV hmoJm:

F = D . C + C . B + C . B . A + D . C . B + D . B . A