Can someone help me. I am still a beginner and hence this minor doubt. We know the basic boolean algebra rule that 1 + X = 1. Does this also hold good for 1 + XY and 1 + XY' ? Is the following simplification right ?
XY' (Z + YZ') + Z
= XY'Z + XY'YZ' + Z
= XY'Z + Z
= Z (XY' + 1)
XY' (Z + YZ') + Z
= XY'Z + XY'YZ' + Z
= XY'Z + Z
= Z (XY' + 1)