Question

1. (12p) Construct a Karnaugh map for the following Boolean function of 3 variables in disjunctive normal form and use it to simplify the function. Then draw the logic circuit for the simplified function. f(x, y, z) = xyz + \overline{x}yz + xy\overline{z} + x\overline{y}z + x\overline{y}\overline{z} X X yz yz yz yz Simplified function f(x, y, z) = Logic circuit for the simplified function: 2. (16p) Construct a Karnaugh map for the following Boolean function of 4 variables in disjunctive normal form and use it to simplify the function. Then draw the logic circuit for the simplified function. g(x, y, z, w) = xyzw + xy\overline{z}w + x\overline{y}zw + xy\overline{z}w + x\overline{y}z\overline{w} + x\overline{y}z\overline{w} XW XW X\overline{w} yz yz yz yz Simplified function g(x, y, z, w) = Logic circuit for the simplified function:

          1. (12p) Construct a Karnaugh map for the following Boolean function
of 3 variables in disjunctive normal form and use it to simplify the
function. Then draw the logic circuit for the simplified function.
f(x, y, z) = xyz + \overline{x}yz + xy\overline{z} + x\overline{y}z + x\overline{y}\overline{z}
X
X
yz
yz
yz
yz
Simplified function f(x, y, z) =
Logic circuit for the simplified function:
2. (16p) Construct a Karnaugh map for the following Boolean function
of 4 variables in disjunctive normal form and use it to simplify the
function. Then draw the logic circuit for the simplified function.
g(x, y, z, w) = xyzw + xy\overline{z}w + x\overline{y}zw + xy\overline{z}w + x\overline{y}z\overline{w} + x\overline{y}z\overline{w}
XW
XW
X\overline{w}
yz
yz
yz
yz
Simplified function g(x, y, z, w) =
Logic circuit for the simplified function:

1. (12p) Construct a Karnaugh map for the following Boolean function
of 3 variables in disjunctive normal form and use it to simplify the
function. Then draw the logic circuit for the simplified function.
f(x, y, z) = xyz + xyz + xyz + xyz + xyz
X
X
yz
yz
yz
yz
Simplified function f(x, y, z) =
Logic circuit for the simplified function:
2. (16p) Construct a Karnaugh map for the following Boolean function
of 4 variables in disjunctive normal form and use it to simplify the
function. Then draw the logic circuit for the simplified function.
g(x, y, z, w) = xyzw + xyzw + xyzw + xyzw + xyzw + xyzw
XW
XW
Xw
yz
yz
yz
yz
Simplified function g(x, y, z, w) =
Logic circuit for the simplified function:

Added by Gary M.

Question

Please give Ace some feedback