Simplify the following function and implement them with two level NOR | Digital Logic 2077

Digital Logic20775 marksNumerical: Boolean function simplificationNAND and NOR implementation

Simplify the following function and implement them with two level NOR gate circuit, $F(w, x, y, z) = wx' + y'z' + w'yz'$ . [5]

Simplify the following function and implement them with two level NOR gate circuit, $F(w, x, y, z) = wx' + y'z' + w'yz'$. [5]

$F(w,x,y,z) = wx' + y'z' + w'yz'$ Term $wx'$ ( $w=1, x=0$ , y,z any): - $1000=8,\ 1001=9,\ 1010=10,\ 1011=11$ Term $y'z'$ ( $y=0, z=0$ , w,x any): - $0000=0,\ 0100=4,\ 1000=8,\ 1100=12$ Term $w'yz'$ ( $w=0, y=1, z=0$ , x any): - $0010=2,\ 0110=6$ Combined: $F = \sum m(0, 2, 4, 6, 8, 9, 10, 11, 12)$ ...

$$F(w,x,y,z) = wx' + y'z' + w'yz'$$ Term $wx'$ ($w=1, x=0$, y,z any): - $1000=8,\ 1001=9,\ 1010=10,\ 1011=11$ Term $y'z'$ ($y=0, z=0$, w,x any): - $0000=0,\ 0100=4,\ 1000=8,\ 1100=12$ Term $w'yz'$ ($w=0, y=1, z=0$, x any): - $0010=2,\ 0110=6$ Combined: $$F = \sum m(0, 2, 4, 6, 8, 9, 10, 11, 12)$$...

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Simplify the following function and implement them with two level NOR gate circuit, F(w, x, y, z) = wx' + y'z' + w'yz'.