UNIVERSITY OF KERALA - Marian Engineering College

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B.Tech Comp. Sc. & Engg., University of Kerala 42 08.408 DIGITAL SYSTEM LAB 0 – 0 – 4 1. Realization of Logic Circuits using basic gates. 2. Arithmetic circuits – Half adder, Full Adder circuits using gates 3. Flip-Flops and Latches – RS, D, T, JK and master-slave using gates. 4. Shift Registers, ring counters, and Johnson counter using gates and ICs 5. Modulo-N ripple counters and synchronous counters using flip-flops. 6. Counter ICs, Sequence generator. 7. Four bit magnitude comparator, 4 bit Adder/Subtractor, BCD Adder using ICs. 8. BCD to Decimal and BCD to 7 segment decoder & display. 9. Multiplexers/ Demultiplexers using gates and ICs. 10. Realization of cobinational circuits using multiplexer/demultiplexer ICs 11. Astable and monostable multivibrators using gates and ICs. 12. Study of ROM, RAM. _______________________________________________________________________________________ Optional experiments (to help the students to enhance their knowledge in the subject – can be carried out at the discretion of the institute, not compulsory). 1. – Introduction to VHDL and simulation of 2/3 simple experiments from the above list using VHDL 2. – Introduction to PC interface and implement an interface experiment with gates – AND, OR, NAND, NOR. It involves programming (preferably in C) to provide control signals from the parallel port to the inputs of the logic gates. The output of the gate will be displayed with an LED. Internal Continuous Assessment (Maximum Marks-50) 20 Marks - Tests (minimum 1) 20 Marks - Up-to-date lab work, circuit design capability, keeping track of rough record and fair record, term projects, assignment-hardware/simulation exercises, etc. 10 Marks - Regularity in the class University Examination Pattern (Maximum marks – 100) Marks should be awarded as follows: 20 Marks - Algorithm/Design. 25 Marks - Viva voce. 30 marks - Implementing the work/Conducting the experiment. 25 Marks - Output/Results and inference. General instructions: - Evaluation is a serious process that is to be conducted under the equal responsibility of both the internal and external examiners. - The number of candidates evaluated per day should not exceed 20
B.Tech Comp. Sc. & Engg., University of Kerala 43 08.501 ENGINEERING MATHEMATICS IV 3 – 1 – 0 (E R F B H) Module I (18 hours) Discrete and continuous random variables and their probability distributions - Probability distribution (density) functions - Distribution functions - Mean and Variance - Simple problems. - Binomial, Poisson, uniform and exponential distributions - Mean and Variance of the above distributions - Normal distribution - Properties of normal distribution - Computing probabilities using Binomial, Poisson, uniform, exponential and normal distributions Module II(16 hours) Curve fitting - Principle of least squares - Fitting a straight line - Fitting a parabola - Linear correlation and regression - Karl Pearson’s coefficient of correlation - Sampling distributions - Standard error - Estimation - Interval estimation of population mean and proportions (small and large samples) - Testing of Hypothesis - Hypothesis concerning a mean, Equality of means- Hypothesis concerning one proportion, difference of two proportions. Module III( 18 hours) Joint probability density function - Properties - Marginal and conditional distribution - Independence - Random processes - Classification of random processes - Examples - Average values such as mean, autocorrelation, auto covariance, correlation coefficient of random processes - stationarity - strict sense stationary process - wide sense stationary process - Autocorrelation function and its properties - Power spectral density and its properties (no proof) - Related problems - Markov chains. Transition probability matrices - Chapman-Kolmogorov equation (no proof) - Poisson process - Mean and autocorrelation of Poisson process - Related problems Reference Books 1. Probability, random variable and stochastic processes – Papoulis and S.U. Pillai, 4/e, TMH 2. Probability and Random Processes – Veerarajan, 2/e, TMH 3. Probability and Random processes with application to signal processing – Stark and Woods, 3/e, Pearson Education 4. Probability and Random Processes for Electrical and Computer Engineers – Gubner, Cambridge University Press, 2006 Internal Continuous Assessment (Maximum Marks-50) 25 Marks - Tests (minimum 2) 15 Marks - Assignments (minimum 3) such as home work, problem solving, literature survey, seminar, term-project, software exercises, etc. 10 Marks - Regularity in the class University Examination Pattern PART A: Short answer questions 10 x 4 marks=40 marks All questions are compulsory. There should be at least three questions from each module and not more than four questions from any module. PART B: Descriptive/Analytical/Problem solving questions 3 x 20 marks=60 marks Candidates have to answer one question out of two or two questions out of four from each module. Maximum Total Marks: 100
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