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2735 | CH 3  Page 81  Tuesday, March 10, 1998  11:03 AM



                                         ELECTRONICS FUNDAMENTALS                                          3




                                         out. The system’s output (the light from the bulb) is either on or off.  The on
                                         state means the door is open; the off state means it is shut.
                    Digital circuits also can   In electronic digital systems, a transistor is used as a switch. Remember
                    use transistors. In a digi-  that the transistor has three operating regions: cutoff, active, and saturation. If
                    tal circuit, a transistor is   only the saturation or cutoff regions are used, the transistor acts like a switch.
                    in either one of two   When in saturation, the transistor is on and has very low resistance; when in
                    modes of operation: on,   cutoff, it is off and has very high resistance. In digital circuits, the control input
                    conducting at satura-  to the transistor switch must be capable of either saturating the transistor or
                    tion; or off, in the cutoff   turning it off without allowing operation in the active region. In Figure 3.2c,
                    state.               the on condition is indicated by a very low collector-to-emitter voltage and the
                                         off condition by a collector-to-emitter voltage equal to the supply voltage.

                                         Binary Number System

                    Combinations of digital   Digital circuits function by representing various quantities numerically
                    circuits are capable of   using a binary number system. In a binary number system, all numbers are
                    representing numbers in   represented using only the symbols 1 (one) and 0 (zero) arranged in the form of
                    a binary number system.  a place position number system. Electronically, these symbols can be
                                         represented by transistors in either saturation or cutoff. Before proceeding with
                                         a discussion of digital circuits, it is instructive to review the binary number
                                         system briefly.
                                              The binary number system uses only two digits, 0 or 1, and is called a
                                         base 2 system. The decimal system uses 10 digits, 0 through 9, and is called a
                                         base 10 system. In the decimal system, numbers are grouped from right to left
                                                                                    0
                                         with the first digit representing the ones’ place (10 ), the second digit the tens’
                                                                                    2
                                                 1
                                         place (10 ), the third digit the hundreds’ place (10 ), and so on. Each place
                                         increases in value by a power of 10.
                                              In the binary system, numbers are also grouped from right to left. The
                                                                         0
                                         rightmost digit is in the ones’ place (2 ) and, because only the numbers 0 and 1
                                                                                              1
                                         can be represented, the second digit must be the twos’ place (2 ), the third digit
                                                        2
                                                                                        3
                                         the fours’ place (2 ), the fourth digit the eights’ place (2 ), and so on. Each
                                         place increases in value by a power of 2. Table 3.1 shows a comparison of place
                    Table 3.1
                    Comparison of
                    Place values
                                                                       Decimal (Base 10)  Binary (Base 2)
                                              Place (also called digit position)  4  3  2  1  5  4  3  2  1
                                              Value                   1000  100  10  1  16  8  4  2    1
                                              Power of base              3   2   1   0  4   3  2  1    0








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