2. Simplify the function F(x, y,z) - y +xyz+ xyz using a three-variable map.
(use k map) Try 2 of 10 Problem 3 of 5 Simplify the boolean function xyz'+xz+x'z'+zx'. In the answer, sort within each product in the following order: x, x', y, y', z, z'. Sort the products as well. For example, 2 + yx' should be entered as x'y + z. Hint: the answer consists of the variables x y z. Each variable only appears once. Answer: Submit Back to home page Sign out
Construct a truth table then simplify the following functional expressions: a) F(x,y,z) = xyz + x(yz)' + x'(y+z) + (xyz)' b) F(x,y,z) = y(x'z + xz') + x(yz + yz')
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)
Given the function F(x,y,z) = xyztx,y2+xyz (a) List the truth table for F (b) Draw the logic diagram using the original Boolean expression (c) Simplify the expression (using any method you know) (d) Draw the logic diagram for the simplified expression.
5. Simplify the following Boolean funct e following Boolean function by means of a four-variable K-map. Show your map and groups and write the simplest equation using proper variable names. F(W,X,Y,Z) = m (0, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14)
This diagram is a simplification of function : -(x+2)+(7+2)+(X+Y+Z) O F-X2)*(Y2)+(XYZ) F-(X+ZXY +2XX+Y+Z) P-XZXYZXX *Y+2)
2- D (XYZ XYZ +XYZ a. Simplify F using Boolean algebra. b. Draw the logie diagram of the simplified F, using NOR only gates c. Use the most economical multiplexer to realize F d. Simplify (F+D)L using K-map in sum of products so MUX si -l d-
1. (10%) Simplify the following Boolean functions or expression, using three-variable maps (0,2,4, 5,6 F(x, y,) lal 4 bl F(r, y, z)xy x'yz y
I Using K-Map minimize the function: f(x, y, z, w) = {(2, 4, 9, 15) + d(0, 1, 3, 6, 11,13) Do not use Boolean algebra. Use K-Maps.
Simplify the Boolean function F (x, y, z) lx +y) (x'+z) and implement with two-level NOR gate circuits.