4) Convert the following unsigned binary number to decimal. Use complete expanded notation making sure to indicate proper unit(s). 110101.101 101 5) Convert the following decimal numbers to unsigned binary. Show all work and indicate proper units. a) 29.90625 b) 0.3
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- Determine the value of each of the following expressions. (For decimal numbers, round your answer to two decimal places.) (1) abs(-18) fabs(20.5) fabs(-87.2) pow(4, 2.0) pow(8.4, 3.5) sqrt(7.84) sqrt (196.0) sqrt (38.44)* pow(2.4, 2) / fabs(-3.2) floor(27.37) ceil(19.2) floor(12.45) + ceil(6.7) floor (-8.9) + ceil (3.45) floor(9.6) / ceil(3.7) pow(-4.0, 6.0) pow(10, -2.0) pow(9.2, 1.0 / 2)The result of adding, subtracting, or multiplying two integers might result in overflow but never __________ or __________.(Conversion) Blood pressure is the force of blood circulating against the inner wall of blood vessels. It’s measured by two numbers: a systolic number that measures the pressure when the heart is contracting and a diastolic number that measures the pressure when the heart is resting. Both pressures are typically measured in millimeters of mercury (mm Hg) and given assystolic/diastolic numbers, such as 122/88. The National Heart, Blood, and Lung Institute provides the following guidelines for normal and high blood pressure measurements. Complete the chart by converting the measurements to atm and psi units.
- (Numerical) Using the srand() and rand() C++ library functions, fill an array of 1000 floating-point numbers with random numbers that have been scaled to the range 1 to 100. Then determine and display the number of random numbers having values between 1 and 50 and the number having values greater than 50. What do you expect the output counts to be?The following program has syntax errors. Correct them. On each successive line, assume that any preceding error has been corrected. (12) const char = STAR = '*' const int PRIME = 71; int main { int count, sum; double x; count = 1; sum = count + PRIME; x = 25.67 newNum = count * ONE + 2; sum + count = sum; (x + sum) ++; x = x + sum * COUNT; sum += 3 ; cout " count = " count ", sum = " sum ", PRIME = " Prime endl; }(For thought) Although you have concentrated on operations involving integer and floatingpoint numbers, C++ allows adding and subtracting characters and integers. (These operations are possible with characters because they’re integer data types and are stored by using integer codes.) Therefore, characters and integers can be mixed in arithmetic expressions. For example, if your computer uses the ASCII code, the expression 'a'+1equals'b'and'z'1equals'y'.Similarly,'A'+1is'B'and'Z'-1is'Y'. With this information as background, determine the character results of the following expressions. (Assume all characters are stored by using ASCII codes.) a.m5b.m+5c.G+6d.G6e.baf.ga+1g.GA+1
- (Data processing) Write C++ code sections to make the following decisions: a. Ask for two integer temperatures. If their values are equal, display the temperature; otherwise, do nothing. b. Ask for character values letter1 and letter2, representing uppercase letters of the alphabet, and display them in alphabetical order. c. Ask for three integer values, num1, num2, and num3, and display them in decreasing order.(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=.3ftWrite each of the following as a C++ expression. (3, 4, 6) 9.0 divided by 5 times c plus 32. The integer value of the character +. Round the decimal number x to the nearest integer. Assign the string C++ Programming is exciting to the variable str. Assign the value of 12 times feet plus inches to totalInches. Increment the value of the int variable i by 1. v = 4/3(3.1416 r3). S = 2(3.1416 r2) + 2(3.1416r)h. a + (b-c)/d(ef - gh) (-b + (b2- 4ac)) / 2a