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- 53. If the frequency spectrum of a signal has a bandwidth of 500 Hz with the highest frequency at 600 Hz, what should be the sampling rate, according to the Nyquist theorem? a. 200 samples/s b. 500 samples/s c. 1000 samples/sa) In your own words, compare and contrast two’s complement and signed magnitude representation of integers. Illustrate your understanding of these concepts with two examples. b) Explain the term periodic pulse train and determine the pulse duration of a periodic pulse train whose duty cycle is 25% and period is 125 nanoseconds. Interprete your results. c) A digital system has been developed to measure temperatures in the range -15˚C to 105˚C. If the accuracy of the system is such that the maximum number of bits that it can represent is 10 bits, and the actual temperature being read is 36˚C, what is the closest possible value that the system could represent? Interprete your results.suppose an 8 bit data word stored in memory is 11111001 Using the hamming algorithm , determine what check bits would be stored in memory with the data word . Show how you got your answer consider if data bit 6 sustains an error and calculate syndrome word
- B. Given "010111" a 6-bit input to DES S-boxes S4, S5, and S6, determine the output of each of these S-boxes as a 4-bit binary. C. Given the following LFSR of degree 4, determine the output generated in the first 7 clocks (clocks 0-6). FF3-FF0 are initialized as follows: FF3=0, FF2=0, FF1=1, FF0=1.Unless specified otherwise, use the free space propagation speed of light 3x108 m/s to calculate the propagation delay. For numerical calculations, the results must show the appropriate unit. Show a complete solution for each problem4. A digital audio broadcast service is used to transmit digital music. Stereo audio signals are to be transmitted using a digital modem over a data link. A stereo signal uses two channels. In each channel, an audio signal is sampled at a rate of 44 kilo samples/second and quantised using a 24-bit quantiser. The data link has a transmission bandwidth of 0.5 MHz. Assume a 46-byte overhead is added to each packet before transmission.a. What is the total bit rate produced by a stereo audio signal?b. What is the minimum SNR value (in dB) required for the above data link?c. Assume that the broadcast service uses the UDP/IP/Ethernet protocol to transmit digital audio, using a packet switched network. The maximum packet size is limited to 800 bytes, which includes…10 Introduce a 7/8 approximation algorithm to the three-verse CNF problem, show the problem and its solution approximately 7/8
- 17. An analog signal carries 4 bits in each signal unit. If 1000 signal units are sent per second, then baud rate and bit rate of the signal are ________ and ____________ a. 4000 bauds \ sec & 1000 bps b. 2000 bauds \ sec & 1000 bps c. 1000 bauds \ sec & 500 bps d. 1000 bauds \ sec & 4000 bps2a. If a computer runs at 12.8 GHz, what is the period of its clock signal? 2b. If the period of a periodic pulse train is 125 nanoseconds, what is the signal's frequencyGiven a (7 , 4) non-systematic code 1. Solve for the code rate, P, H, and dmin2. Solve for s if (a) r = [1101011], and (b) r = [1010111]
- Consider a telegraph source having two symbols, dot and dash. The dot duration is 0.2 second. The dash duration is three times the dot duration. The probability of the dot’s occurring is twice that of the dash, and the time between symbols is 0.2 second. Assume n = 2 ( 2nd extension of the code), pdash = S0 and pdot = S11. Determine the equivalent codeword for each symbol using Shannon Code. Supersymbol Code S0 S0 S0 S1 S1 S0 S1 S1 2. Determine the coding efficiency.Simplify and express the answer wi (x^((1)/(4))y^(-(1)/(8)))(x^((8)/(7))y^((1)/(5)))Analyse the suitability of the generator CRC-16 polynomial x^16 + x^12 + x^5 + 1that is typically found in HDLC.i. Does it detect a burst error of size 14? Justify your answer.ii. What is the probability of detecting a burst error of size 17?iii. What is the probability of detecting a burst error of size 20?