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1267 If, in the circuit shown in Figure P1267, the two
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voltage sources are temperature sensors with T = temperature (Kelvin) and: vS1 = kT1 where: k = 120 V/K R 1 = R3 = R4 = 5 k R2 = 3 k RL = 600 If: T1 = 310 K T2 = 335 K vS2 = kT2
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1268 In the differential ampli er shown in Figure
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P1267: vS1 = 13 mV vS2 = 9 mV vo = voc + vod voc = 33 mV (common-mode output voltage) vod = 18 V (differential-mode output voltage) Determine: a The common-mode gain b The differential-mode gain c The common-mode rejection ratio in dB
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determine: a The voltage gains for the two input voltages b The common-mode and differential-mode input voltage c The common-mode and differential-mode gains
Digital Logic Circuits
igital computers have taken a prominent place in engineering and science over the last two decades, performing a number of essential functions such as numerical computations and data acquisition It is not necessary to further stress the importance of these electronic systems in this book, since you are already familiar with personal computers and programming languages The objective of the chapter is to discuss the essential features of digital logic circuits, which are at the heart of digital computers, by presenting an introduction to combinational logic circuits The chapter starts with a discussion of the binary number system, and continues with an introduction to Boolean algebra The self-contained treatment of Boolean algebra will enable you to design simple logic functions using the techniques of combinational logic, and several practical examples are provided to demonstrate that even simple combinations of logic gates can serve to implement useful circuits in engineering practice In a later section, we introduce a number of logic modules which can be described using simple logic gates but which provide more advanced functions Among these, we discuss read-only memories, multiplexers, and decoders Throughout the chapter, simple examples are given to demonstrate the usefulness of digital logic circuits in various engineering applications
13
Digital Logic Circuits
13 provides the background needed to address the study of digital systems, which will be undertaken in 14 Upon completion of the chapter, you should be able to:
Perform operations using the binary number system Design simple combinational logic circuits using logic gates Use Karnaugh maps to realize logical expressions Interpret data sheets for multiplexers, decoders, and memory ICs
ANALOG AND DIGITAL SIGNALS
One of the fundamental distinctions in the study of electronic circuits (and in the analysis of any signals derived from physical measurements) is that between analog and digital signals As discussed in the preceding chapter, an analog signal is an electrical signal whose value varies in analogy with a physical quantity (eg, temperature, force, or acceleration) For example, a voltage proportional to a measured variable pressure or to a vibration naturally varies in an analog fashion Figure 131 depicts an analog function of time, f (t) We note immediately that for each value of time, t, f (t) can take one value among any of the values in a given range For example, in the case of the output voltage of an op-amp, we expect the signal to take any value between +Vsat and Vsat , where Vsat is the supply-imposed saturation voltage
1 08 06 Volts 04 02 0 02 04 0 50 100 150 200 250 300 350 400 Crank angle (degrees)
Figure 131 Voltage analog of internal combustion engine in-cylinder pressure
A digital signal, on the other hand, can take only a nite number of values This is an extremely important distinction, as will be shown shortly An example of a digital signal is a signal that allows display of a temperature measurement on a digital readout Let us hypothesize that the digital readout is three digits long and can display numbers from 0 to 100, and let us assume that the temperature sensor is correctly calibrated to measure temperatures from 0 to 100 F Further, the output of the sensor ranges from 0 to 5 volts, where 0 V corresponds to 0 F and 5 V to 100 F Therefore, the calibration constant of the sensor is kT = 100 0 = 20 V 5 0
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