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T ( C) 50 40 30 20 10 4 8 12 16 20 24 0 4 t (h) Atmospheric temperature over a 24-hour period Desired temperature T ( C) 20 t Vcontrol
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t Average temperature in a house and related digital control voltage
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Figure 1043 Illustration of analog and digital signals
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In describing the properties of transistors in 9, it was suggested that, in addition to serving as ampli ers, three-terminal devices can be used as electronic switches in which one terminal controls the ow of current between the other two It had also been hinted in 8 that diodes can act as on-off devices as well In this section, we discuss the operation of diodes and transistors as electronic switches, illustrating the use of these electronic devices as the switching circuits that are at the heart of analog and digital gates Transistor switching circuits form the basis of digital logic circuits, which will be discussed in more detail in the next chapter The objective of this section is to discuss the internal operation of these circuits and to provide the reader interested in the internal workings of digital circuits with an adequate understanding of the basic principles An electronic gate is a device that, on the basis of one or more input signals, produces one of two or more prescribed outputs; as will be seen shortly, one can construct both digital and analog gates A word of explanation is required, rst, regarding the meaning of the words analog and digital An analog voltage or current or, more generally, an analog signal is one that varies in a continuous fashion over time, in analogy (hence the expression analog) with a physical quantity An example of an analog signal is a sensor voltage corresponding to ambient temperature on any given day, which may uctuate between, say, 30 and 50 F A digital signal, on the other hand, is a signal that can take only a nite number of values; in particular, a commonly encountered class of digital signals consists of binary signals, which can take only one of two values (for example, 1 and 0) A typical example of a binary signal would be the control signal for the furnace in a home heating system controlled by a conventional thermostat, where one can think of this signal as being on (or 1) if the temperature of the house has dropped below the thermostat setting (desired value), or off (or 0) if the house temperature is greater than or equal to the set temperature (say, 68 F) Figure 1043 illustrates the appearance of the analog and digital signals in this furnace example The discussion of digital signals will be continued and expanded in s 13, 14, and 15 Digital circuits are an especially important topic, because a large part of today s industrial and consumer electronics is realized in digital form
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Part II
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Analog Gates A common form of analog gate employs an FET and takes advantage of the fact that current can ow in either direction in an FET biased in the ohmic region Recall that the drain characteristic of the MOSFET discussed in 9 consists of three regions: ohmic, active, and breakdown A MOSFET ampli er is operated in the active region, where the drain current is nearly constant for any given value of vGS On the other hand, a MOSFET biased in the ohmic state acts very much as a linear resistor For example, for an n-channel enhancement MOSFET, the conditions for the transistor to be in the ohmic region are: vGS > VT and |vDS | 1 (vGS VT ) 4 (1063)
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As long as the FET is biased within these conditions, it acts simply as a linear resistor, and it can conduct current in either direction (provided that vDS does not exceed the limits stated in equation 1063) In particular, the resistance of the channel in the ohmic region is found to be RDS = VT2 2IDSS (vGS VT ) (1064)
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