each Boolean Algebraic Expression below: • First, simplify the following expressions using the rules (tricks) we derived in class such as DeMorgan's theorems. O SHOW ALL YOUR STEPS! Second, test your solution: o Using the question's initial algebraic expression, draw a symbolic logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth table: ▪ Example truth table for: A + B o 1. A(A + B) 2. ABC + ABC + ABC AB 3. AB + ABC + A 4. AB+ (A + B)C + AB 00 01 10 11 o Now, using your simplified solution of the algebraic expression, draw a symbolic logic circuit diagram (AND, OR, Inverter gates) with an accompanying truth table. The truth tables should be the same! out 5. ABC + (A+B+C) + ABCD 6. (B + BC) (B + BC)(B+ D) 0 1 1 1

(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft

(Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stack

(For thought) a. A token of a computer language is any sequence of characters, with no intervening characters or white space, that taken as a unit has a unique meaning. Using this definition of a token, determine whether escape sequences, function names, and the keywords listed in Table 2.1 are tokens of the C++ language. b. Discuss whether adding white space to a message alters the message and whether messages can be considered tokens of C++. c. Using the definition of a token in Exercise 4a, determine whether the following statement is true: “Except for tokens of the language, C++ ignores all white space.”