Midterm Exam Review. CS 2420 :: Fall 2016 Molly O'Neil


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1 Midterm Exam Review CS 2420 :: Fall 2016 Molly O'Neil
2 Midterm Exam Thursday, October 20 In class, pencil & paper exam Closed book, closed notes, no cell phones or calculators, clean desk 20% of your final grade 80 minutes to complete the exam Please bring a pencil and eraser! All writing will be done on exam paper that I'll hand out 2
3 Exam Format 100 points total 5 pages, each with 4 problems = 20 problems total (~4 minutes per) Each problem is worth 5 points  regardless of difficulty Consider working on easy problems first! You must show work/reasoning to receive any credit! Each page has a different topic: 1: Numbers 2: Boolean Algebra & Gates 3: Canonical Forms / NAND Circuits 4: KMaps & Minimization 5: CL Circuit Design / Structured Design Types of questions: Exercises very similar to homework problems......plus shortanswer concept questions 3
4 Content Slides from lecture: Introduction, Motivation, & Background Numbers, Coding, & Arithmetic Binary Logic & Gates Boolean Algebra & Functions KMaps & Minimization Combinational Circuits & Structured Logic Design Lecture slides: All homeworks (HW 1, HW 2, HW 3) NO HDLs/SystemVerilog! Nothing from lab! 4
5 Things You Should Know How to Do... (I) A. Numbers (1) Convert a hex # to octal via binary (2) Convert an octal # to hex via binary (3) Convert a fractional decimal # to binary (4) Convert a fractional binary, octal, or hex # to decimal (5) Describe 2's complement vs. 1's complement vs. signedmagnitude and their relative advantages/disadvantages (6) Represent a negative decimal # in 2's complement (7) Perform subtration on decimal #s using 2's complement encoding and binary arithmetic (must show work, including carries!) (8) Represent a decimal # in BCD 5
6 Things You Should Know How to Do... (II) B. Gates (1) Explain the operation (and/or draw a truth table) and know the symbols for AND, OR, NOT, NAND, NOR, XOR, and XNOR gates (2) Explain why NAND and NOR gates are universal (3) Draw a logic diagram from a Boolean expression (4) Construct a Boolean expression from a logic diagram C. Boolean Algebra (1) Construct a truth table from a Boolean expression (2) Demonstrate the validity of an identity via a truth table (3) Reduce a Boolean expression to a given # of literals using theorems & postulates (not KMaps!) (4) Provide the complement of a function using DeMorgan's theorem 6
7 Things You Should Know How to Do... (III) D. Canonical Forms (1) Via a truth table, express a function in canonical SOP form (as an expression) or as a sum of minterms (2) Via a truth table, express a function in canonical POS form (as an expression) or as a product of maxterms (3) Convert between maxterm/minterm #s and Boolean expressions (4) Express a Boolean function in canonical SOP or POS form working directly from the expression, not via truth table (5) Describe the relationship between the minterms and maxterms of a function E. NAND Circuits (1) Use bubblepushing/demorgan's equivalencies to express a function using only NAND gates 7
8 Things You Should Know How to Do... (IV) F. KMaps (1) Simplify a 3variable function (given as an expression, truth table, or sumofminterms) to a minimal 2level SOP using a KMap (2) Simplify a 4variable function (given as an expression, truth table, or sumofminterms) to a minimal 2level SOP using a KMap (3) Using a KMap, simplify a Boolean expression with don'tcare conditions (4) Identify prime implicants and essential prime implicants in a K Map G. Minimization (1) Further simplify a reduced 2level SOP expression (derived from a KMap) by identifying common factors (2) Further simplify a reduced 2level SOP expression (derived form a KMap) by identifying XOR/XNOR patterns 8
9 Things You Should Know How to Do... (V) H. Combinational Logic Circuit Design (1) Given a description of a CL circuit's operation, draw a truth table for the function(s) (2) Use KMaps to derive a simplified implementation of a multioutput combinational circuit (3) Identify a static timing hazard in a Kmap and give a fix (4) Draw a waveform demonstrating the output values of a circuit over time, given a series of input changes I. Structured Logic Design (1) Use a mux to implement a Boolean function by using some of its input variables as mux selects and placing factored functions of the remaining variables on the mux inputs (2) Implement a canonical SOP expression using a decoder (3) Describe the operation of a multiplexor and demultiplexor (4) Understand and describe the internals of a halfadder 9
10 How to Prepare Review the slides Understand all the concepts Quiz yourself Review the homework solutions (on TRACS) Redo the homeworks (without consulting any notes) And recheck your answers against the solutions me with questions that come up while you study Sleep! Eat breakfast! 10
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