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 x n banyan network. Verify your answer for n = 8.

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 x n banyan network. Verify your answer for n = 8.

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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