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- Two 32-bit timers(T1 & T2) with their match output and capture input (M1, C1 and M2, C2)

- One UART and one I2C compliant serial ports

- An 8-bit ADC with 4 analog input channels (Ain[0, 3])

- A 32-bit general purpose IO port (P0 – P31)

o P8 and P9 are multiplexed with TXD and RXD of the UART, resp.

o P12 and P13 are multiplexed with SCL and SDA of the I2C, resp.

o P14 and P15 are multiplexed with M1 and C1 of the Timer1 (T1), resp.

o P26 and P27 are multiplexed with M2 and C2 of the Timer2 (T2), resp.

o P28 – P31 are multiplexed with Ain0 – Ain3 of ADC analog input

a) Suppose you’re asked to design a system using the above MCU plus the following devices on

a single board: (datasheet given below).

o A thermistor and a light dependant resistor (LDR). – to measure temperature and

light intensity, respectively

o 64KB EEPROM – to log temperature and light intensity data Periodically

o 100 x 100 pixels 8-bit parallel graphic LCD module – To display the data for the user

o Two push buttons, one for reset and the other for refresh.

Draw the hardware configuration, with all the interconnection

b) You are provided with driver APIs for each device in the system (see next page). Write an

application program using these APIs in C/C++ that implements the function described

below:

I. Draw a flow chart of the process

II. Write a C/C++ Program; assume sampling time of every minute and data log every hour.

Classify the following devices as AHB or APB compliant; support

your judgment with proper justification.

a) Suppose the offset of the first instruction is 100h, what would be the physical

address of the 5th instruction assuming the first 5 instructions are all 16 bit

long?

b) If the physical address of the data operand pointed by the base register, BX,

is 26C1Eh, what is the content of BX?

2. Internally the 8086 can be divided in to two large units, the bus interface

unit(BIU) and the execution unit (EU)

a) What are the main tasks of the EU?

b) Which of the following are in the BU

Segment registers, GP registers, Instruction queue, Index registers

and z from the user and display the value of the expression 2π (x – y) + z. allow 8

bit integer values for x, y and z. take π = 3.

write a simple

calculator that evaluate infix expressions that supports

addition, subtraction, multiplication, division, and

exponentiation. Assume the values as double data type

After each card is drawn, it is put back in the deck and the cards are

reshuffled so that each card drawn is independent of all others.

(a) Find the probability that the 3rd club is drawn on the 8th selection.

(b) Find the probability that at least 8 cards are drawn before the 3rd club

appears.

(c) Repeat parts (a) and (b) if the cards are drawn without replacement.

That is, after each card is drawn, the card is set aside and not replaced

in the deck

That is, if X is the number of calls that arrives in t minutes,

then

Pr(X = k) = (λt)^k/k! * e−^λt , k = 0, 1, 2, . . . ,

where λ is the average arrival rate in calls/minute. Suppose that the

average rate of calls is 10 per minute.

(a) What is the probability that fewer than three calls will be received in

the first 6 seconds?

(b) What is the probability that fewer than three calls will be received in

the first 6 minutes?

(a) the probability generating function, HX(z),

(b) the Taylor series expansion of HX(z) about the point z = 1,

(c) a general expression for the kth factorial moment

(a) Find the marginal PDFs, fX(x) and fY(y).

(b) Based on the results of part (a), find E[X], E[Y], Var(X), and Var(Y).

(c) Find the conditional PDFs, fX|Y(x|y) and fY|X(y|x).

(d) Based on the results of part (c), find E[XY], Cov(X,Y), and ñX,Y

(a) Find Pr(X > 2,Y < 0).

(b) Find Pr(0 < X < 2, |Y + 1| > 2).

(c) Find Pr(Y > X). Hint: Set up the appropriate double integral and then

use the change of variables: u = x − y, v = x + y

Assume that the PDF for the football’s hitting the

target is Gaussian within the plane of the target. Let the coordinates of the

plane of the target be denoted by the x and y axes. Thus, the joint PDF of

(X,Y) is a two-dimensional Gaussian PDF. The average location of the hits

is at the origin of the target, and the standard deviation in each direction

is the same and is denoted as σ. Assuming X and Y are independent, find

the probability that the hits will be located within an annular ring of width

dr located a distance r from the origin; that is, find the probability density

function for hits as a function of the radius from the origin.

(a) E[2X − 4],

(b) E[X]

(c) E[(2X − 4)^2].

A B C Y

0 0 0 1

0 0 1 1

0 1 0 0

0 1 1 0

1 0 0 1

1 0 1 1

1 1 0 0

1 1 1 1

a. Give the canonical SOP and canonical POS expressions for Y.

b. Minimize the truth table using k-map.

position to the left or to the right based on a signal input S.When S=0 the number is shifted

one bit to the left, and when S=1 the number is shifted 1 bit to the right. The output will be a

shifted version of the number A.

(Hint: Shifting a 2-bit number one-bit to the left is the same as multiplying the number by 2

and taking the two least significant bits. Shifting a 2-bit number one-bit to the right is the

same as dividing the number by 2 and taking the two least significant bits)

a. Construct a truth table based on the given specification.

b. Give the minimized expressions for the outputs.

c. Realize the minimized expressions with NAND gates only.