A stage of an n × n banyan network consists of (n/2) 2 × 2 switching elements. The first stage directs packets to the correct half of the network, the next stage to the correct quarter, and so on, until the packet is routed to the correct output. Derive an

A stage of an n × n banyan network consists of (n/2) 2 × 2 switching elements. The first stage directs packets to the correct half of the network, the next stage to the correct quarter, and so on, until the packet is routed to the correct output. Derive an

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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Concept explainers

Network transmission cabling

A network is a collection of devices connected by communication links. A device can be a computer or any instrument capable of sending and receiving data or information formed by other nodes toward the network. A channel that connects people or things is known as a network. It sends the data from one place to another. It is the basic concept of a computer, network, and data communications.

Question

. A stage of an n x n banyan network consists of (n/2) 2 × 2
switching elements. The first stage directs packets to the correct
half of the network, the next stage to the correct quarter, and so
on, until the packet is routed to the correct output. Derive an
expression for the number of 2 × 2 switching elements needed to
make an n × n banyan network. Verify your answer for n = 8.

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