+Design a combinational circuit that accepts a 4-bit number and generates a3-bit binary number output that approximates the square root of the number.For example, if the square root is 3.5 or larger, give a result of 4. If the squareroot is < 3.5 and 2.5, give a result of 3.WARNIWF10F8F7F6F5F4*&%6785Y Optimize the following Boolean functions by finding all prime implicants andessential prime implicants and applying the selection rule:(a) F(A, B, C, D) = Em (1,5,6,7, 11, 12, 13, 15)(b) F(W, X, Y, Z) = Em (0,1,2, 3,4, 5, 10, 11, 13, 15)(c) F(W, X, Y, Z)Em (0,1,2,5, 7,8, 10, 12, 14, 15)WARNINay 7:36WF10F8F9F6F7F4F5&*%24678RY

Prime Implicants: A group of squares or rectangles made up of a bunch of adjacent minterms allowed…

Answered: Optimize the following Boolean…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Simplify the following Boolean functions by using Karnaugh map method. (a) F1(A, B,C, D) = Em(0,1,4, 5, 8, 9, 10, 12, 13) (b) F2(A, B,C, D) = Em(3,5, 7, 8, 9, 10, 11, 13, 15) %3D
Simplify the following two Boolean functions using K-MAP:c) F(A, B, X, D) = ∑ (2, 3, 10, 11, 12, 13, 14, 15) d) F(A, B, C, D) = ∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)
Q2/ Simplify using K- map for the following : Simplify the Boolean function F(A, B, C, D, E) = (0, 2, 4, 6, 9, 13, 21, 23, 25, 29, 31) %3D
Minimize the following boolean function- F(A, B, C, D) = {m(0, 1, 3, 5, 7, 8, 9, 11, 13, 15)
Optimize the following Boolean functions by finding all prime implicants and essential prime implicants and applying the selection rule F (W, X, Y, Z) = Σm (0,1,2,3,4,5,10,11,13,15)
Simplify the following Boolean function F, together with the don’t-care conditions d, and then express the simplified function in sum-of-minterms form: F(A,B,C,D)= ∑(2,4,10,12,14) d(A,B,C,D)= ∑(0,1,5,8)
Optimize the following Boolean functions by finding all prime implicants and essential prime implicants and applying the selection rule: (a) F(A, B, C, D) = (b) F(W, X, Y, Z) = Em (0, 1,2,3, 4, 5, 10, 11, 13, 15) (c) F(W, X, Y, Z) = Em (0, 1,2, 5, 7, 8, 10, 12, 14, 15) Em (1,5,6,7, 11, 12, 13, 15) %3D CL W JPEG F10 AA F9 F7 F8 F6 F5 * & * CO
Simplify the following Boolean functions by first finding the essential prime implicants: (a) F(A, B, C, D) = ∑(0,2,3,5,7,8,10,11,14,15) (b) F(w, x, y, z) = ∑(0,1,4,5,6,7,9,11,14,15)
Optimize the following Boolean functions by means of a four-variable map: (a) F(A,B,C,D) = Em(2,3,8,9, 10, 12, 13, 14) (b) F(W,X,Y,Z) = Em(0,2,5,6,8, 10, 13,14, 15) %3D (c) F(A,B,C,D) = Em(0,2,3,7,8, 10, 12, 13)
Simplify the following two Boolean functions using K-MAP: a) F(A, B, C, D) = ∑ (1, 4, 5, 6, 12, 14, 15) b) F(W, X, Y, Z) = ∑ (0, 1, 2, 4, 5, 7, 11, 15)
Simplify the following Boolean functions, using K-maps: F (A, B, C, D)=Σ(3, 7, 11, 13, 14, 15)
Simplify the following Boolean functions by means of K-map:a) f(A,B,C) =∑m(0,2,3,4,6)b) f(A,B,C,D) = ∑ m(0,2,3,7,8,10,12,13)c) F(X,Y,Z) = Y’Z+YZ+X’Y’Z’

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Optimize the following Boolean functions by finding all prime implicants and essential prime implicants and applying the selection rule: (a) F(A, B, C, D) = Em (1,5,6,7, 11, 12, 13, 15) (b) F(W, X, Y, Z) = Em (0,1,2,3,4,5, 10, 11, 13, 15) Em (0,1,2,5, 7,8, 10, 12, 14, 15) (c) F(W, X, Y, Z)