Boolean Simplification - Mechatronics Systems Design - Exam, Exams of Digital Systems Design

Main points of this exam paper are: Boolean Simplification, Theorems, Conversion, Equivalent, Extended Function, Truth Tables, Flip-Flop Circuit, Nand Gates, Conditional Input, Multi Vibrator

Typology: Exams

2012/2013

Uploaded on 04/10/2013

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CORK INSTITUTE OF TECHNOLOGY
INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 2 Repeat Examinations 2011/12
Module Title: Mechatronics Systems Design
Module Code: MECH8014
School: Mechanical, Electrical & Process Engineering
Programme Title: Bachelor of Engineering (Honours) in Sustainable Energy
Programme Code: ESENT_8_Y4
External Examiner(s): Mr P. Kenny, Mr C. Buckley
Internal Examiner(s): Dr Emmanuel Pican
Instructions: Answer FOUR questions.
Duration: 2 hours
Sitting: Autumn 2012
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct
examination.
If in doubt please contact an Invigilator.
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CORK INSTITUTE OF TECHNOLOGY

INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ

Semester 2 Repeat Examinations 2011/

Module Title: Mechatronics Systems Design

Module Code: MECH

School: Mechanical, Electrical & Process Engineering

Programme Title: Bachelor of Engineering (Honours) in Sustainable Energy

Programme Code: ESENT_8_Y

External Examiner(s): Mr P. Kenny, Mr C. Buckley Internal Examiner(s): Dr Emmanuel Pican

Instructions: Answer FOUR questions.

Duration: 2 hours

Sitting: Autumn 2012

Requirements for this examination:

Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination. If in doubt please contact an Invigilator.

Q.1 (a) (i) Name the law which allows conversion of AND function to an equivalent OR function

and vice-versa. (5%) (ii) Write down the two theorems relating to that law. (3%)

(b) Using the rules for Boolean simplification: (i) Simplify the function (AB) = A+A’B (4%) (ii) Draw the circuit with logic gates of the extended function and, (1%) (iii) of the simplified function. (1%)

(c) (i) What is the purpose of a Karnaugh Map? (2%) (ii) Find the Boolean expression of the following Karnaugh map. (9%)

AB

CD

00^1 1 0

01^1 1 0

Q.4 The theory of basic ideal operational amplifiers follows a set of assumptions (a) Name 5 of these assumptions, (5%) (b) What is the purpose of the feedback loop? (1%) (c) Derive Vo for the Non-Inverting Operational amplifier shown in fig 1 (9%)

Fig 1

(d) Fig 2 represents the circuit of a non-inverting amplifier which has an input resistance (Ri) of 10 kΩ, an open-circuit voltage gain of 20, and an output resistance (Ro) of 600 Ω. The feedback network is specified to draw no more than 0.1 mA from the output of the op amp when the open- circuit output voltage is in the range −10V VO 10V.

Fig 2

(i) Find RF and R 1 (8%) (ii) Find Vo if Vi=200 mV (2%)

Vo 2

Vi (^) Vo

Q.5 The main part of a Finite-State Machine (FSM) is a set of states representing every possible “mode” or “situation”. An FSM is “in” exactly one state at the time, that state being known as the FSM’s current or present value. (a) Name the graphical drawing of an FSM. (2%) (b) An FSM is made of several items, name two. (6%) (c) The duty of the following production line (Fig. 3) is as follow:

  1. Fill a canister with 6 pills
  2. Pills are fed from an overhead feeding conveyor
  3. Pills are only dropped to a canister if canister detected by “ Canister Detector ”, the “ Canister Detector ” generates a signal if canister present under the shoot.
  4. Every time a pill is dropped from the overhead conveyor it passes through a laser beam generating a pulse to the “ Laser Beam Signal
  5. Every time the operator press the “start button”, the overhead conveyor starts and will stops only when 6 pills have been delivered to the canister.

Fig 3

(i) Draw the state diagram of this finite state machine (1 cycle). (10%) (ii) Draw the timing diagram (7%)

( note: ignore the receiving conveyor cycle )