When President Franklin Delano Roosevelt gave his first inaugural speech—“the only thing we have to fear is fear itself…”—it lasted about 23 minutes. In printed form it takes about 4 pages.The part that is printed on a page is about 4 1/2 inches wide and 7 3/8 inches vertically.There are about 77 characters per line, and there are about 5 1/3 lines per vertical inch. Suppose you wished to represent the speech in a CD-ROM encyclopedia.

a. How many 8-bit bytes would it take to store a recording of FDR giving the speech using PCM without compression assuming a bandwidth of 22,000 Hz, monaural?

Ignore any overhead. You wish to pick a sample discretization that can encode about 64,000 amplitude levels. Use the minimum sampling rate implied by the sampling theorem.

b. Suppose the speech was stored as text, one text character per byte without compression.

How much space, in bytes, is on the CD-ROM now?

c. Suppose the speech was stored as an image of the text as specified previously.That is, you only scan the area with text. Suppose the image is scanned at 1200 pixels per inch in both the horizontal and vertical directions, and that the image is stored as black and white (no color or gray scale). Again ignore overhead and assume no compression.

How much CD-ROM storage in bytes is needed for this representation?

Note: The relative size of the results of (a), (b), and

(c) make qualitative sense. The reading carries the most information, including inflection and pacing, in addition to the text itself.This representation takes the most space.The image carries more information than the text, such as fonts and page layout, but less information than the reading.The text as an ASCII string carries no additional information beyond the text itself but is the most compact.