# Need help with the following boolean algebra proof

Thread Starter

#### vg19

Joined Nov 3, 2004
6
Hi,

Can you please help me prove teh following statement using L.S. and R.S.
................_..............._
XY + YZ + XZ = XY + XZ

btw, the two NOTS are obve the X in the XZ on the RS and LS.

Thanks

#### arvind

Joined Nov 4, 2004
18
hi,
u can solve this problem using karnaugh maps. if u know them the solution is

Y'Z' Y'Z YZ YZ'
X' 0 1 1 0
X 0 0 1 1

PLACE 1 OVER THE INTERSECTION WHICH IS THERE IN THE BOOLEAN EXP
FOR BLUE THE COMMON EXP IS X'Z AND FOR RED IT IS XY

If u do not know this i have simple solution

YZ = XYZ+X'YZ = YZ(X'+X) = YZ coz X+X' =1
WRITE YZ IN THIS FORM IN LHS

XY + XYZ + X'YZ + X'Z = XY(1+Z) + X'Z(1+Y)
= XY + X'Z COZ 1+Z = 1

ENJOY        Originally posted by vg19@Nov 4 2004, 04:47 AM
Hi,

Can you please help me prove teh following statement using L.S. and R.S.
................_..............._
XY + YZ + XZ = XY + XZ
btw, the two NOTS are obve the X in the XZ on the RS and LS.

Thanks
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