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A list of 15 laws and theorems of Boolean algebra is given of this unit. When you complete this unit, you should be familiar with and be able to use any of the first 12 of these.Specifically, you should be able to:
1. Understand the basic operations and laws of Boolean algebra.
2. Relate these operations and laws to circuits composed of AND gates, OR gates, and INVERTERS. Also relate these operations and laws to circuits composed of switches.
3. Prove any of these laws using a truth table.
4. Apply these laws to the manipulation of algebraic expressions including: a. Multiplying out an expression to obtain a sum of products (SOP). b. Factoring an expression to obtain a product of sums (POS). c. Simplifying an expression by applying one of the laws. d. Finding the complement of an expression.
Create a finite-state machine design to turn your FPGA development board into a simple programmable music box.
Redundant sequence identication
Dynamic programming algorithm to compute a shortest superstring.
Write down a structural induction principle for the PlayTree free type
Design a syntactic analyzer for the language specified by the grammar
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
Consider a logic function with three outputs, A , B , and C , and three inputs, D , E , and F . The function is defined as follows: A is true if at least one input is true, B is true
Considering a single programmed operating system, what is the minimal total time required to complete executions of the two processes? You should explain your answer with a diagram.
Give a construction that assumes you are given a DFA for L and show how to construct an NFA (with or without ε-moves) to recognize sort(L).
How many equivalence classes does this relation have and what are they? Use these equivalence classes to construct the minimal DFA for the language.
Discuss the impact of Moore's law on data center costs on such things as servers and communications equipment. List at least 3 steps or recommendations your data center can take to offset some or all of the effect of Moore's law.
How the problem would be encountered in attempting to represent the following statements in Predicate logic. it should be possible to: John only likes to see French movies.
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