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other logic forms, the most common of which is negative logic. In a common form of negative logic, the digit 1 (the logic high state) is represented by about 0 V, and the digit 0 (the logic low state) is represented by about +5 V. The remainder of this chapter deals with positive logic.
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Basic Gates An inverter or NOT gate has one input and one output. It reverses the state of the input. An OR gate can have two or more inputs. If both, or all, of the inputs are 0 (low), then the output is 0. If any of the inputs is 1 (high), then the output is 1. An AND gate can have two or more inputs. If both, or all, of the inputs are 1, then the output is 1. Otherwise the output is 0. Other Gates Sometimes an inverter and an OR gate are combined. This produces a NOR gate. If an inverter and an AND gate are combined, the result is a NAND gate. An exclusive OR gate, also called an XOR gate, has two inputs and one output. If the two inputs are the same (either both 1 or both 0), then the output is 0. If the two inputs are different, then the output is 1. The functions of logic gates are summarized in Table 26-2. Their schematic symbols are shown in Fig. 26-2. Black Boxes Logic gates can be combined to form circuits with many inputs and outputs. When two or more logic gates are combined, the outputs are always specific logical functions of the inputs. A complex combination of logic gates is sometimes called a black box. The functions of a black box can always be determined using Boolean algebra, if the gates inside, and the way they are interconnected, is known. Conversely, if a certain complex logical function is needed for an application, a black box can be designed to perform that function by using Boolean algebra to break the function down into components of NOT, OR, AND, NOR, NAND, and XOR.
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26-2 An inverter or NOT
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gate (A), an AND gate (B), an OR gate (C), an XOR gate (D), a NAND gate (E), and a NOR gate (F).
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446 Digital Basics
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Table 26-2.
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Gate type NOT OR
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Logic gates and their characteristics.
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Remarks Changes state of input. Output high if any inputs are high. Output low if all inputs are low. Output low if any inputs are low. Output high if all inputs are high. Output low if any inputs are high. Output high if all inputs are low. Output high if any inputs are low. Output low if all inputs are high. Output high if inputs differ. Output low if inputs are the same.
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Number of inputs 1 2 or more
2 or more
2 or more
NAND
2 or more
Forms of Binary Data In communications, binary (two-level) data is less susceptible to noise and other interference than analog or multilevel digital data. There are several forms.
Morse code is the oldest binary means of sending and receiving messages. It is a binary code because it has only two possible states: on (key-down) and off (key-up). It is used mainly by amateur radio operators in their hobby activities. A human ear/brain machine, scrutinizing a Morse code signal, is an amazingly effective digital communications receiver. Baudot, also called the Murray code, is a five-unit digital code not widely used by today s digital equipment, except in some radioteletype communications. ASCII (American National Standard Code for Information Interchange) is a seven-unit code for the transmission of text and some programs. Letters, numerals, symbols, and control operations are represented. ASCII is designed for computers. There are 27, or 128, possible representations. Both upper- and lowercase letters can be represented, along with numerals and certain symbols.
Flip-flops A flip-flop is also known as a sequential logic gate. In a sequential gate, the output state depends on both the inputs and the outputs. A flip-flop has two states, called set and reset. Usually, the set state is logic 1 (high), and the reset state is logic 0 (low). Here are some common types.
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