Homework Answers
k-map:
k-map stands for Karnaugh Map and it is used to minimize or simplifying the boolean algebra expression by using a graphical representation in which 'n' variables are represented in 2n cells.
The given boolean function is:
The k-map of the given boolean function is given below:
In k-map, we try to make the groups as large as possible in the power of 2.
The minimize boolean function is:
f(x, y, z, w) = xw + x'y' + x'yw'
k-map:
k-map stands for Karnaugh Map and it is used to minimize or simplifying the boolean algebra expression by using a graphical representation in which 'n' variables are represented in 2n cells.
The given boolean function is:
The k-map of the given boolean function is given below:
In k-map, we try to make the groups as large as possible in the power of 2.
The minimize boolean function is:
f(x, y, z, w) = xw + x'y' + x'yw'
Add Answer to:
I Using K-Map minimize the function: f(x, y, z, w) = {(2, 4, 9, 15) +...
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13,...
Design a PLA that implements the followingthree boolean function A(w,x,y,z) = ?m(4, 5, 7, 12, 13, 15) B(w,x,y,z) = ?m(0, 1, 4, 5, 8, 9, 11, 12, 13, 15) C(w,x,y,z) = ?m(0, 1, 2, 3, 6, 7, 8, 9, 10, 11, 14) a) Use Karnaugh Maps to optimal each function and its complement. b)Select the three optimal functions to use in the PLA. C)Optimize the equation(s) using Karnaugh Map(s). d.Draw the circuit (Don't forget the clock).
Simplify the following Boolean functions using four-variable maps: F(w, x, y, z) = Σ (1, 4,...
Simplify the following Boolean functions using four-variable maps: F(w, x, y, z) = Σ (1, 4, 5, 6, 12, 14, 15) F(w, x, y, z) = Π (0, 1, 4, 5, 6, 7, 8, 9) AB’C + B’C’D’ + BCD + ACD’ + A’B’C+ A’BC’D (A xor B)’ (C xor D)
I. a) (4 points) For a given function F(x, y, z) = xz + (y +...
I. a) (4 points) For a given function F(x, y, z) = xz + (y + z)(x + z) Draw the logic circuit diagram of the function: b) Using Boolean Algebra to simply the above function c) Use Demorgan's Theorem to find out the complement of the above function F(x,y,z)xz+ + 2)(x +z)
use a karnaugh map to minimize and draw the logic diagram f(w,x,y,z)=w',x',y',z'+wxy'z'+wxyz=w'xyz'+wxyz'
use a karnaugh map to minimize and draw the logic diagram f(w,x,y,z)=w',x',y',z'+wxy'z'+wxyz=w'xyz'+wxyz'
Using the K-Map method, find the optimized "product of sums" expression for the following function: F(W,...
Using the K-Map method, find the optimized "product of sums" expression for the following function: F(W, X, Y, Z) = II (0, 1, 4, 5, 7, 9, 12, 13, 14, 15)
9. Using the consensus theorem, minimize: f=w•X Z + T W Y Z + T.XY
9. Using the consensus theorem, minimize: f=w•X Z + T W Y Z + T.XY
Using K-map simplify the following Boolean functions in product of sum form a. F(w,x,y,z) =Σ(0,2,5,6,7,8,10)
Using K-map simplify the following Boolean functions in product of sum form a. F(w,x,y,z) =Σ(0,2,5,6,7,8,10)
1. (15 points) Minimize the following function using the K-map. f(A.B.C.D) = m(0.1,2,5,12,13,14,15) 2. (15 Points)...
1. (15 points) Minimize the following function using the K-map. f(A.B.C.D) = m(0.1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
f (v, w, x, y,z) = Σ m(3,7,12,14,15,19,23,25,28,29,31)+ Σ d(4,5,6,9,13) 1. Obtain the most cost efficient...
f (v, w, x, y,z) = Σ m(3,7,12,14,15,19,23,25,28,29,31)+ Σ d(4,5,6,9,13) 1. Obtain the most cost efficient function by theoretical procedures • Use Karnaught maps or/and Boolean algebra to derived the simplified solution.
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x,...
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
I. a) (4 points) For a given function F(x, y, z) = xz + (y + z)(x + z) Draw the logic circuit diagram of the function: b) Using Boolean Algebra to simply the above function c) Use Demorgan's Theorem to find out the complement of the above function F(x,y,z)xz+ + 2)(x +z)
Using the K-Map method, find the optimized "product of sums" expression for the following function: F(W, X, Y, Z) = II (0, 1, 4, 5, 7, 9, 12, 13, 14, 15)
9. Using the consensus theorem, minimize: f=w•X Z + T W Y Z + T.XY
1. (15 points) Minimize the following function using the K-map. f(A.B.C.D) = m(0.1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
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