Question

Create the Kmaps and then simplify for the following functions: a) F(w,x,y,z) = w'x'y'z' + w'x'yz' + w'xy'z + w'xyz + w'xyz' + wx'y'z' + wx'yz' b) F(w,x,y,z) = w'x'y'z' + w'x'y'z + wx'y'z + wx'yz' + wx'y'z' c) F(w,x,y,z) = y'z + wy' + w'xy + w'x'yz' + wx'yz'

Answer 1

Answer:

$a) F(w,x,y,z) = x'y'z'+w'xz+w'yz'+wx'yz$

$b) F(w,x,y,z) = x'y'+wx'yz'$

$c) F(w,x,y,z) =y'z + wy' + w'xy + x'yz'$

Step-by-step explanation:

Karnaugh maps are given in the attachment.

$a)\:\: F(w,x,y,z) = w'x'y'z' + w'x'yz' + w'xy'z + w'xyz + w'xyz' + wx'y'z' + wx'yz\\\\= x'y'z'+w'xz+w'yz'+wx'yz$

$b) F(w,x,y,z) = w'x'y'z' + w'x'y'z + wx'y'z + wx'yz' + wx'y'z'\\\\= x'y'+wx'yz'$

$c) F(w,x,y,z) = y'z + wy' + w'xy + w'x'yz' + wx'yz'\\\\=y'z + wy' + w'xy + x'yz'$