Answered: A 956 x 1290 pixel grayscale image with…

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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A 956 x 1290 pixel grayscale image with each pixel able to display 32 shades of gray. How long would it take to transfer this image over a DMA channel with 2.5 Gbps (bps = bitspersecond) ?

Expert Solution

Step 1

Answer:

Step 1:

Each display has 32 shades of gray,

$2^{5} = 32$

so, the bit depth is 5

Step 2:

Compute size of the display:

$\Rightarrow (n u m b e r o f p i x e l s) \times (b i t d e p t h) \Rightarrow (956 \times 1290) \times 5 \Rightarrow 6, 166, 200 b y t e s$

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