help-boolean algebra

Thread Starter

mira

Joined Jun 28, 2007
3
hi, guys....i need some help with these question...i will be grateful if u could help me...

simplification using boolean algebra only..

A) F1 = w'x' + (w'x')'

b) F2 = w(w + w'xy)

c) F3 = xy(v.v')

d) F4 = (v + (wy)')'

e) F(v,w,x,y) = F1+F2+F3+F4


thank you in advance
 

Thread Starter

mira

Joined Jun 28, 2007
3
i have tried to do them not sure if they r right?
w'x' + (w'x')'
=w'x' + wx
 

electroperk

Joined Jun 30, 2007
8
if ' means bar then solution might be

f1=w'x'+(w'x')'
for this now let w'x' be a then
f1=a+a' that is f1=1;
let me explain this
suppose a=1 then a'=0 in this case f1=1;
and if a=0 then a'=1 in this case also f1=1;
hence f1=1 always...

now going for f2=w(w+w'xy)
or f2=ww+ww'xy and as ww=w and ww'=0 always
therefore f2=w....

now f3=x.y(v.v') then v.v'=0....
therefore f3=0....

now F4 = (v + (wy)')'
using de'morgans law
f4=(v+w'+y')'..
and again we will use de'morgans law..
f4=v'wy..

therefore..

F(v,w,x,y) = F1+F2+F3+F4=1+ w+0+v'wy..

i think i have tried my level best...
 

daveglion

Joined Jul 1, 2007
21
wow! boolean algebra!! need ko po ng tutorial dyan assignment ko po kasi eh... pls post naman po ng link about boolean
ty po...
 
Top