Use Logisim to implement the following functions Also use th

Use Logisim to implement the following functions. Also use the software to minimize the function. For each of the function and its minimized form, we need at least three simulation cases (example for problem 2, one such case could be x=0, y=1, z=0) for both the function and its minimized form. F = xy + xy\' + x\'y\' F = (x + y) (x\'z\' + z)(y\' + xz)\' F = xy\' + xz + x\'z\' + xyz\' + x\'y\'z F = (x + z) (w + x) (y\' + z) (w + y\') F = (w + x + y\' + z) (w + x + y\' +z\') (w + x\' + y\' + z) (w + x\' + y\' + z\') (w\' + x\' + y\' + z) (w\' + x\' + y\' + z\')

Solution

1) x=0 & y=1 then F= 0 and x=1 &y=0 then F= 1 and x=1 &y=1 then F=1

2) x=0,y=1,z=1 then F= 1 and x=1,y=1,z=1 then F= 1 x=1,y=1,z=0 then F=0

3) x=0,y=1,z=0 then F= 0 and x=1,y=1,z=1 then F= 1 x=1,y=1,z=0 then F=1

4)x=0,y=1,z=1,w=0 then F= 0 and x=1,y=1,z=1,w=1 then F= 1 x=1,y=1,z=0,w=0then F=0

5) x=0,y=0,z=0,w=0 then F= 1 and x=1,y=0,z=1,w=0 then F= 1 x=1,y=1,z=0,w=0then F=0