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202   Chapter Seven

          In the 1970s, processors were made using either just NMOS or just
        PMOS devices, but starting in the 1980s chips were built using both. A
        manufacturing process that creates N-type and P-type MOSFETs is
        called complementary MOS (CMOS). Having NMOS and PMOS devices
        allows logic gates to be designed where whenever one device turns on
        another turns off. This way the output of the gate is always being pulled
        to the supply voltage or ground but never both. These two voltages are
        used to represent the 1’s and 0’s of binary numbers. Any instruction or
        piece of data can be encoded as a number, and any number can be rep-
        resented as a binary number using only two voltages.
          The main reason why computers use binary is to keep circuit design
        simple. It would be possible to design a processor that used more than
        two voltage levels to represent each digit of a number. Ten voltage levels
        per digit would allow numbers to be stored in decimal notation as we
        are used to writing them. This would allow a smaller number of digits
        to be used to represent each number, but the circuits processing those
        digits would become enormously more complicated. Distinguishing
        between 10 input voltage levels and producing the correct value of 10
        possible output voltages would require treating the transistors as analog
        devices. Many more transistors would be required to process each digit,
        and these circuits would become much more susceptible to electrical noise.
        Even though binary circuits require using more digits, they perform com-
        putations faster at lower cost and vastly simplify the job of circuit design.
          Binary circuits let circuit designers think of transistors as being either
        only on or off when designing logic gates, but to estimate the speed or
        power of these gates we must be familiar with how the transistor’s cur-
        rent varies with voltage. A MOSFET can be in three regions of opera-
        tion depending on the differences in voltage at the three terminals.
        These voltage differences are written, as shown in Fig. 7-2.
                                    ) at which the transistor will turn on is
          The threshold voltage (V t
        determined by the gate oxide thickness and amount of dopant in the well
        between the source and the drain. For an NMOS, if the gate voltage is





                          V g

        V  = V − V s                 V  = V − V d
                                          g
                                      gd
         gs
              g
                  V s               V d          Figure 7-2 MOSFET voltage
                                                 differences.
                        V  = V − V s
                         ds
                             d
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