Optimize the following Boolean functions, using a map: I- F(W, X, Y, Z) = m (5, 6, 8, 9, 10, 12,15) d- Derive the Truth Table for the function F e- Simplify the function using 4 variable Karnaugh-map f- Express the simplified function F Il- F(A, B, C, D) = m (3, 7, 8, 10, 11, 12, 13, 14, 15) a. Derive the Truth Table for the function F b. Simplify the function using 4 variable Karnaugh-map c. Express the simplified function F

Optimize the following Boolean functions, using a map: I- F(W, X, Y, Z) = m (5, 6, 8, 9, 10, 12,15) d- Derive the Truth Table for the function F e- Simplify the function using 4 variable Karnaugh-map f- Express the simplified function F Il- F(A, B, C, D) = m (3, 7, 8, 10, 11, 12, 13, 14, 15) a. Derive the Truth Table for the function F b. Simplify the function using 4 variable Karnaugh-map c. Express the simplified function F

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

7: Optimize the following Boolean functions by means of a 4-variable K-map:(a) F(A, B, C, D) = ∑m(0, 2, 4, 5, 8, 10, 11, 15)(b) F(A, B, C, D) = ∑m(0, 1, 2, 4, 5, 6, 10, 11)(c) F(W, X, Y, Z) = ∑m(0, 2, 4, 7, 8, 10, 12, 13)
If ??is the present state and ??+1 is the next state of the given digital circuit then findthe characteristic equation. Write the truth table and use K-maps to simplify theexpression.
implement the following notation using any simulator. construct the truth table, boolean function, and k-map. J (E,F,G,H) = Σm(0,2,5,6,7,8,10,14,15)
Simplify the Boolean expressions given below using a 4-variable K-map. a) f A B C D (,,,) (0, 2, 4,5, 6, 7,8,10,13,15) b) f w x y z (,,,) (1,4,5,6,12,14,15)
Minimize the following boolean function K map: F(A, B, C, D) = Σm(0, 2, 8, 10, 14) + Σd(5, 15)
Given the 5 variable function:Obtain the simplified SOP Boolean functionF(A,B,C,D,E)= Σ m (0,6,8,10,12,14,17,19,20,22,25,27,28,30)f(v,w,x,y,z)=Σ m (1,2,3,5,9,10,11,18,19,20,21,23,25,26,27)
Implement the following Boolean function, together with the don’t care conditions d , and implement two different variations of X as different cases (assuming in one case it is 1 and in another case a 0): F(A, B, C, D) = ∑(2, 4, 10, 11, 12, 14) d(A, B, C, D)=∑(0, 1, 5, 8) Assume that both the normal and complement inputs are available.
Minimize the given boolean function: F(A, B, C, D) = Σm(0, 2, 3, 8, 9, 10, 14, 15) + Σd(1, 7, 11)
Draw a circuit that performs the function given by the following truth table: Please write clearly, and include K-map, function expression, and explain component choice(s). A B C F 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1
Minterms: F = ΣA,B,C,D(0, 3, 4, 5, 7, 8, 9) a) Make truth table b) Use 4-variable K-Map to derive the most simplified expression
Implement the given notation using multiplexer: H (KJ,P,O) = π (0,2,3,5,9,10,11,12,13,14) Include the truth table and multiplexer implementation.
SIMPLIFICATION AND MINIMIZATION OF BOOLEAN FUNCTIONS 1. Obtain the minimal sum of the products using K-Map for the function F (W,X,Y,Z) = Σ (0, 1, 2, 5, 8, 9, 10) 2. Obtain the minimal sum of the products using K-Map for the function F (A, B, C, D, E) = Σ (0, 2, 4, 6, 9, 11, 13, 15, 17, 21, 25, 27, 29, 31) 3. Obtain the minimal sum of the products using Tabulation method for the function F (A, B, C, D) = Σ (0,1,2,3,5,7,8,10,12,13,15) 4. Using a Karnaugh map, simplify the function F (A, B, C, D) = Σ (0, 2, 3, 6, 7, 8, 10, 11, 12, 15) and implement them with basic gates. 5. Obtain the sum of the products expressions for the function F = Σ (1, 4, 7, 8, 9, 11) + d (0, 3, 5) and implement them with NAND gates as well as NOR gates.