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Two versions of the SI form In a two-by-two system, it often doesn t matter which variable we consider independent and which one we consider dependent But a true SI equation always has the dependent variable alone on the left side of the equals sign, and the independent variable on the right side along with constants that represent characteristics of a graph For example, if we see the equation

Pulse modulation 485 The ratio of the frequency deviation to the highest modulating audio frequency is called the modulation index For good fidelity, it should be at least 1: 1 But it should not be much more; that would waste spectrum space

x y = 10 then we can say that both of the following are SI equivalents of it: y = x 10 and x = y + 10 In the first case, we treat y as the dependent variable In the second case, we treat x as the dependent variable

Logic refers to the reasoning used by electronic machines The term is also used in reference to the circuits that make up digital devices and systems

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Once you ve solved a two-by-two linear system (or think you have), you should consider your solutions tentative until you ve plugged them into both of the original equations and worked out the arithmetic to be sure that they re correct The solution to the system originally stated on page 251 appears to be x = 5 and y = 6 Is it, really Check the first original equation: 8x + 4y = 16 8 5 + 4 ( 6) = 16 40 24 = 16 16 = 16 That checks out fine! Now for the second original equation: 7x y = 41 7 5 ( 6) = 41 35 + 6 = 41 41 = 41 It works out here, too! You can now be confident that the solutions are right

Still another method of modulation works by varying some aspect of a constant stream of signal pulses Several types of pulse modulation (PM) are briefly described below They are diagrammed in Fig 26-12 as amplitude-versus-time graphs The modulating waveforms are shown as curvy lines, and the pulses as vertical lines

Here s a challenge!

26-12 Pulse modulation At A, pulse amplitude modulation; at B, pulse width modulation; at C, pulse interval modulation; and at D, pulse code modulation

Boolean Algebra Boolean algebra is a system of mathematical logic using the numbers 0 and 1 with the operations AND (multiplication), OR (addition), and NOT (negation) Combinations of these operations are NAND (NOT AND) and NOR (NOT OR) This peculiar form of mathematical logic, which gets its name from the nineteenth-century British mathematician George Boole, is used in the design of digital logic circuits Symbology In Boolean algebra, the AND operation, also called logical conjunction, is written using an asterisk (*), a multiplication symbol ( ), or by running two characters together, for example, X*Y The NOT operation, also called logical inversion, is denoted by placing a tilde (~) over the quantity, as a minus sign ( ) or dash (-) followed by the quantity, as a lazy inverted L ( ) followed by the quantity, or as the quantity followed by an accent or prime sign ( ) An example is X The OR operation, also called logical disjunction, is written using a plus sign (+), for example, X + Y The foregoing are the symbols used by engineers Table 26-1A shows the values of these functions, where 0 indicates falsity and 1 indicates truth In mathematics and philosophy courses involving logic, you may see other symbols used for conjunction and disjunction The AND operation in some texts is denoted by a detached arrowTable 26-1A

While flying directly into a high-altitude wind, an airplane has a groundspeed (speed measured with respect to the earth) of 750 kilometers per hour (km/h) When flying right along with that same wind at the same airspeed (speed measured with respect to the surrounding air), the plane has a groundspeed of 990 km/h What is the airspeed of the plane What is the speed of the wind relative to the earth

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