Give the Boolean function F(w,x,y,z)=(1,2,3,5,7,9,11,13,15) reduce it by k-map in sop form
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Answer:
w'x'y + z
Explanation:
We have:
Since we're using SOP form,
add em'
w'x'y'z + w'x'yz' + w'x'yz + w'xy'z + w'xyz + wx'y'z + wx'yz + wxy'z + wxyz
Reduce it,
w'x' (y'z + yz' + yz) + w'x (y'z + yz) + wx'( y'z + yz) + wx (y'z + yz)
=w'x' ( y'z + y) + w'x (z) + wx' (z) + wx (z)
= w'x' ( y'z + y) + w'xz + wx'z + wxz
=w'x' ( y+z ) + w'xz + wz [A'B + B =A+B]
=w'x'y +w'x'z + w'xz + wz
=w'x'y + w'z + wz
=w'x'y + z
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