Answered: I've been tasked with implementing a…

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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I've been tasked with implementing a boolean function with variables (A,B,C,D) using a dual-4-to-1 multiplexer. Where A and B are the select bits and C and D drive the function. How would I about solving a question like this if say F(A,B,C,D) = m(2, 5, 8, 10, 15) I understand how to do a question like this in terms of a single 4-1 multiplexer, however the dual 4-1 multiplexer is confusing me.

Expert Solution

Step 1: Approach

To implement the boolean function F(A, B, C, D) using dual 4-to-1 multiplexers, you can follow these steps. It's important to note that each dual 4-to-1 multiplexer has two 4-to-1 multiplexers within it.

The function F(A, B, C, D) = m(2, 5, 8, 10, 15) means that F is true when the following minterms are true:

Minterm 2 (0010 in binary) implies A' B' C D
Minterm 5 (0101 in binary) implies A' B C' D'
Minterm 8 (1000 in binary) implies A B' C' D'
Minterm 10 (1010 in binary) implies A B' C D
Minterm 15 (1111 in binary) implies A B C D

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