logic circuits equations

Thread Starter

SHuzero

Joined Feb 22, 2011
14
can you help me to simplify this equation (x'y'+z)'+z+xy+wz ? please help me to simplify that equation.

also what is the essential prime implicants in this equation f(w,x,y,z)=summation of m(0,2,4,5,6,7,8,10,13,15)?

kindly help me with this problems.....
 

Anestis88

Joined Aug 9, 2011
19
The equation is simplified as :

(x'y'+z)'+z+xy because z+wz=z
(x'y')'*z'+z +xy
(x+y)*z'+z +xy
(x+y+z)(z+z')+xy because x+yz=(x+y)(x+z)
x+y+z+xy
so x+y+z
 

Thread Starter

SHuzero

Joined Feb 22, 2011
14
guys help me
what is the essential prime implicants in this equation f(w,x,y,z)=summation of m(0,2,4,5,6,7,8,10,13,15)?

I wanted to know what is the essential prime implicants in this equation when it is in k-map

kindly help me with this problems.....
 

Thread Starter

SHuzero

Joined Feb 22, 2011
14
hello guys
thanks for the answer......i have some clarification about this part
(x+y)*z'+z +xy
(x+y+z)(z+z')+xy because x+yz=(x+y)(x+z)

how come this part
(x+y)*z'+z
have been reduced to this
(x+y)*z'+z
(x+y+z)(z+z') because x+yz=(x+y)(x+z) - where is this equation....i can't see it....
i need some explanation
 

Thread Starter

SHuzero

Joined Feb 22, 2011
14
Hello,
Can you show us your attempt at a solution for each problem?
this is my solution to essential prime implicants is

f= w'z'(y+y')(x+x') + xz(w'+w)(y+y') + wx'z' (y+y')
f= w'z' + x'z + wx'z'

I just short cut my solution because it can be seen in k-map...

what it the essential prime implicant
 
Top