X | Y | Z | F |
---|---|---|---|
0 | 0 | 0 | 0 |
0 | 0 | 1 | 0 |
0 | 1 | 0 | 1 |
0 | 1 | 1 | 1 |
1 | 0 | 0 | 0 |
1 | 0 | 1 | 0 |
1 | 1 | 0 | 1 |
1 | 1 | 1 | 1 |
4. Draw a system diagram and generate a truth table for the function. F(X, Y, Z)...
7) Construct the truth table for the function F(X,Y,Z) = Y’Z+ X Z’ 8) Draw the logic circuit for the function F(X,Y,Z) = Y’Z+ X Z’
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.
Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). 0 01 0 0 100O 0 110 (0
3. f[x,y,z] = minterms [0,1,5,6] a. show on a Venn Diagram b. show on a truth table c. draw a circuit for it
Implement the function F (x,y,z)= (not x)(not z)+ xy using a. One 4-to-1 multiplexer and any additional inverters. Show your truth-table and justify your choice of select inputs. b. One 2-to-1 multiplexer and the minimal number of gates. Show the truth table used to derive your circuit.
Given the function F(x,y) = y'+(x+y) : a) Make a truth table for F. [4 marks] b) Express F as a sum of products. [3 marks] c) Simplify F, either algebraically or by an explanation based upon the truth table. [3 marks]
2. Boolean Logic 2.1. Demonstrate the following identity by means of algebraic manipulations. !(x+y)z+x!y y (x+z) (last resort: use truth table) 2.2. Create the truth table and the circuit for the function F(xy,z) (x+y) (!x+z)
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)
Given the function : F = x + ( (yz)’(x’ + y’+ z’) )’ A) Write the truth table of F. B) Draw the K-map for F. C) Using the K-map, write the fully simplified Sum-Of-Products expression for F. D) Write the fully simplified product-of-sums expression for F
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')