4. (??, 22 pts) We saw in lecture methods to store integers (both negative and non-negative) and real numbers as sequences of 0s and 1s. Integers can be stored exactly (using binary numbers and/or 2’s complement), but real numbers must be approximated by rational numbers. In decimal (base 10), a rational number can be expanded as, for example, 11 8 = 1.375. That is, 11 8 = 1 × 100 + 3 × 10−1 + 7 × 10−2 + 5 × 10−3 . In a similar fashion, we can expand a rational number in binary, 11 8 = · · · # × 2 0 + # × 2 −1 + # × 2 −2 + # × 2 −3 + · · · = 1 × 2 0 + 0 × 2 −1 + 1 × 2 −2 + 1 × 2 −3 . Thus, we can write 11/8 as 1.011 in binary; thereby converting it to a sequence of 0s and 1s (and a decimal—binary?—point). (a) Is 0.1 the binary expansion of 1/2? Explain why or why not. (b) Determine the binary expansion of 45/16. Remember that a rational number is a number that can be written as a ratio of integers, such as 1/2, 3/4, and 5/1.

Laire writes a letter to her grandmother, in which she describes an amusement park she visited last week. she adds pictures of that place in her letter. which feature of a word processing program will claire to remove unwanted parts of the pictures?

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Now you’re on your own. include a short summary of this section with plots in your lab report. write a matlab script file to do steps (a) through (d) below. include a listing of the script file with your report. 1 the soundsc(xx, fs) function requires two arguments: the first one (xx) contains the vector of data to be played, the second argument (fs) is the sampling rate for playing the samples. in addition, soundsc(xx, fs) does automatic scaling and then calls sound(xx, fs) to actually play the signal. mcclellan, schafer, and yoder, dsp first, 2e, isbn 0-13-065562-7. prentice hall, upper saddle river, nj 07458. c 2015 pearson education, inc. 4 mcclellan, schafer and yoder, signal processing first. prentice hall, upper saddle river, new jersey, 2003. c 2003 prentice hall. (a) generate a time vector (tt) to cover a range of t that will exhibit approximately two cycles of the 4000 hz sinusoids defined in the next part, part (b). use a definition for tt similar to part 2.2(d). if we use t to denote the period of the sinusoids, define the starting time of the vector tt to be equal to t , and the ending time as ct . then the two cycles will include t d 0. finally, make sure that you have at least 25 samples per period of the sinusoidal wave. in other words, when you use the colon operator to define the time vector, make the increment small enough to generate 25 samples per period. (b) generate two 4000 hz sinusoids with arbitrary amplitude and time-shift. x1.t / d a1 cos.2