Could you please solve these problems and explain the steps?

Consider a 3-input function G whose POS form is known to contain the maxterm X + Y + Z.
1) What is the maximum number of minterms that the SOP form of G can have such that no simplification is possible? Derive the corresponding Boolean expression for both SOP form and POS form. Can G0 be simplified?

2) Let us assume that all minterms that do not exist in the SOP form of G are “don’t care”s. Can the POS form of F be simplified? If so, what is the simplified Boolean expression for F?

During a power outage, a homeowner starts a generator that outputs 4,000 W of electrical power. It burns gasoline at a rate of 15 gallons per day.

Gasoline has an energy content of 19,800 BTU/lb, a density of 6.07 lb/gal and a carbon content of 86% by mass.

1. What is the generators efficiency at converting gasoline energy to electrical energy? How many pound of CO₂ does the generator emit per day?

By using MATLAB

1. Divide a speech signal or music signal into frames of size N = 64.
2. Compute the N?point DFT of each frame.
3. Save only first L = 20 DFT coefficients.
4. Reconstruct the frame from these L coefficients. (Do not disturb the symmetry
of DFT during inverse DFT computation. X[k] = X[N ?k] for real signals, N = 64
here. Pad zeros for missing DFT coefficients.)
5. Comment on the quality of reconstructed and the original speech signal.
6. What is the effective data compression ratio? Note that DFT coefficients may be
complex valued!
7. Repeat the above experiment for L = 10 and L = 5.

A 35 km, 34.5-kV, 60-Hz three phase line has a positive-sequence series impedance z = 0.10 + j0.40 Ohms/km. The load at the receiving end absorbs 15 MVA at 33 kV. Assuming a short line, calculate: (a) the ABCD parameters, (b) the sending-end voltage for a load power factor of 0.95 lagging, (c) the sending-end voltage for the a load power factor of 0.9 leading. (d) For which case is the sending-end voltage higher?

Determine the Nyquist rate for signal x(t)defined as follows:

x(t)= 20,000sinc(20,000*pi*t)

Plot the spectrum of the sampled signal and check whether aliasing error exists for the following values of the sampling rate (ws): 40,000*pi, 20,000*pi,10,000*pi

SUBJECT: CONTROL SYSTEM DESIGN (Simulink Model)

• What does the ‘Bias’ block do to the input sine wave? Describe it.

• What is a ‘Subsystem’ and why is it useful when developing a model?

• What does the ‘Gain’ block do? What does a gain value of 255/5 mean?

• What does the '1023' value do in the Arduino I/O subsystem?

• What does the gain value of ‘5/1023’? What is its relationship to an 8-bit digital wave?

PLEASE TYPE YOUR ANSWER

Design a decoder counter MOD '10' that counts from 0-9 using 4 flip flops and a NAND gate.

Write a literature review from any article concerning the "conversion of kinetic energy to electrical energy" make sure your literature review contains( name of research, problem statement,method,result/conclusion)

A single phase, 300???, 11??/2.2??, 60 ?? transformer has the following parameters referred to the high-voltage side: ?? = 57.6??, ?? = 16.34??, ??? = 2.784? and ??? = 3.5?. If a load of ????? = 16∠30°? connected to the low-voltage side: a) Find the voltage regulation? b) Draw the phasor diagram? c) Find the efficiency of the transformer? d) Repeat part a and b at ????? = 16∠ − 30°??

A 2000 V single-phase synchronous generator is being used as a backup
generator outside a diagnostic center. When the generator
terminals are short-circuited and a field excitation current of 2.5 A is passed, the
ammeter between the terminals read 100 A of full load current. If the terminals
of the same generator are opened and the voltage across them is measured using
a voltmeter, we get the value of 500 V with the same excitation current. The
armature resistance is 0.8 ohms.
Determine the voltage regulation of this generator if it is delivering 100 A
during normal operation with unity power factor, 100 A with 0.8 leading PF,
and with 0.71 lagging PF.
(Hint: Synchronous Impedance = (0.C Voltage) / (S.C Current))

15. Approximately, how many NAND gate equivalents does a SPLD (Simple Programmable Logic Device), CPLD (Complex Programmable Logic Device) and FPGA (Field Programmable Gate Array) typically support?