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Digital Circuits 447
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R-S flip-flop inputs are labeled R (reset) and S (set). The outputs are Q and Q. (Often, rather than Q, you will see Q , or perhaps Q with a line over it.) The outputs are always in logically opposite states. The symbol for an R-S flip-flop, also known as an asynchronous flipflop, is shown in Fig. 26-3A. The truth table (a specialized form of table denoting logic functions) for an R-S flip-flop is at Table 26-3A. Synchronous flip-flop states change when triggered by the signal from a clock. In static triggering, the outputs change state only when the clock signal is either high or low. This type of circuit is sometimes called a gated flip-flop. In positive-edge triggering, the outputs change state at the instant the clock pulse is positive-going. The term edge triggering derives from the fact that the abrupt rise or fall of a pulse looks like the edge of a cliff (Fig. 26-3B). In negative-edge triggering, the outputs change state at the instant the clock pulse is negativegoing. Master/slave (M/S) flip-flop inputs are stored before the outputs are allowed to change state. This device essentially consists of two R-S flip-flops in series. The first flip-flop is called the master, and the second is called the slave. The master flip-flop functions when the clock output is high, and the slave acts during the next low portion of the clock output. This time delay prevents confusion between the input and output. J-K flip-flop operation is similar to that of an R-S flip-flop, except that the J-K has a predictable output when the inputs are both 1. Table 26-3B shows the input and output states for this type of flip-flop. The output changes only when a triggering pulse is received. The symbol for a J-K flip-flop is shown in Fig. 26-3C. R-S-T flip-flop operation is similar to that of an R-S flip-flop, except that a high pulse at the T input causes the circuit to change state. The T flip-flop has only one input. Each time a high pulse appears at the T input, the output state is reversed.
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Clocks In electronics, the term clock refers to a circuit that generates pulses at high speed and at precise intervals. It sets the tempo for the operation of digital devices. In a computer, the clock acts like a metronome for the microprocessor. Clock speeds are measured and expressed in hertz (Hz), kilohertz (kHz), megahertz (MHz), or gigahertz (GHz).
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26-3 At A, the symbol for an R-S flip-flop. At B, pulse edges are either
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negative-going or positive-going. At C, the symbol for a J-K flip-flop.
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448 Digital Basics
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Table 26-3.
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A: R-S Flip-flop R 0 0 1 1 B: J-K Flip-flop J 0 0 1 1 K 0 1 0 1 S 0 1 0 1
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Flip-flop states.
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Q Q 1 0
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Q Q 0 1
Q Q 1 0 Q
Q Q 0 1 Q
Counters A counter consists of a set of flip-flops or equivalent circuits. Each time a pulse is received, the binary number stored by the counter increases by 1. A frequency counter measures the frequency of a wave by tallying the cycles in a given interval of time. The circuit consists of a gate, which begins and ends each counting cycle at defined intervals. The accuracy is a function of the length of the gate time; the longer the time base, the better the accuracy. The readout is in base-10 digital numerals.
Binary Digital Communications
The use of binary data provides excellent communications accuracy and efficiency. If multilevel signaling is required, then all the levels can be represented by groups of binary digits. A group of 3 binary digits, for example, can represent 23, or 8, levels. A group of 4 binary digits can represent 24, or 16, levels. The term binary digit is commonly contracted to bit.
Bits, Bytes, and Baud A bit is almost always represented by either 0 or 1. A group of 8 bits is a called an octet, and in many systems this also corresponds to a unit called a byte. Large quantities of data can be expressed either according to powers of 2, or according to powers of 10. This can cause some confusion and gives rise to endless debates over semantics. One kilobit (kb) is equal to 1000 bits. A megabit (Mb) is 1000 kilobits, or 1,000,000 bits. A gigabit (Gb) is 1000 megabits, or 1,000,000,000 bits. When data is expressed in bits, powers of 10 are used to define large quantities. If you hear about a modem that operates at 56 kbps, it means 56,000 bits per second (bps). Bits, kilobits, megabits, and gigabits per second (bps, kbps, Mbps, and Gbps) are commonly used to express data in communications.
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