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Data quantity in storage and memory is usually specified in kilobytes (units of 210 = 1,024 bytes), megabytes (units of 220 = 1,048,576 bytes), and gigabytes (units of 230 = 1,073,741,824 bytes). The abbreviations for these units are KB, MB, and GB, respectively. Note that the uppercase K represents 210 or 1024, while the lowercase k represents 103 or 1000. But M and G are always uppercase, no matter whether powers of 2 or 10 are used. (Is all of this confusing to you Don t be discouraged. It confuses almost everybody.) Larger data units are being used as memory and storage media continue to grow. The terabyte (TB) is 240 bytes, or 1024 GB. The petabyte (PB) is 250 bytes, or 1024 TB. The exabyte (EB) is 260 bytes, or 1024 PB. The term baud refers to the number of times per second that a signal changes state. The units of bps and baud are not equivalent, even though people often speak of them as if they are. These days, baud (or baud rate ) is seldom used to express data speed. When computers are linked in a network, each computer has a modem (modulator/demodulator) connecting it to the communications medium. The slowest modem determines the speed at which the machines communicate. Table 26-4 shows common data speeds and the approximate time periods required to send 1, 10, and 100 pages of double-spaced, typewritten text at each speed.
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Forms of Conversion Any analog (continuously variable) signal can be converted into a string of pulses whose amplitudes have a finite number of states, usually some power of 2. This is analog-to-digital (A/D) conversion, and its reverse is digital-to-analog (D/A) conversion, as you ve already learned. The difference between analog and digital signals can be intuitively seen by examining Fig. 26-4. This is essentially a rendition of 8-level pulse code modulation (PCM), as described in Chap. 25 and illustrated in Fig. 25-8D. Imagine the curve being sampled as a train of pulses (A/D), or the pulses being smoothed into the curve (D/A). Table 26-4. Time needed to send data at various speeds.
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Abbreviations: s = second, ms = millisecond (0.001 s), s = microsecond (0.000001 s). A: Speed, kbps 28.8 38.4 57.6 100 250 500 B: Speed, Mbps 1.00 2.50 10.0 100
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Time for one page 0.38 s 280 ms 190 ms 110 ms 44 ms 22 ms Time for one page 11 ms 4.4 ms 1.1 ms 110 s
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Time for 10 pages 3.8 s 2.8 s 1.9 s 1.1 ms 440 ms 220 ms Time for 10 pages 110 ms 44 ms 11 ms 1.1 ms
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Time for 100 pages 38 s 28 s 19 s 11 s 4.4 s 2.2 s Time for 100 pages 1.1 s 440 ms 110 ms 11 ms
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26-4 An analog waveform (dashed curve) and an 8-level digital representation
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(vertical bars).
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Binary digital data can be sent and received one bit at a time along a single line or channel. This is serial data transmission. Higher data speeds can be obtained by using multiple lines or a wideband channel, sending independent sequences of bits along each line or subchannel. This is parallel data transmission. Parallel-to-serial (P/S) conversion receives bits from multiple lines or channels, and transmits them one at a time along a single line or channel. A buffer stores the bits from the parallel lines or channels while they are awaiting transmission along the serial line or channel. Serial-to-parallel (S/P) conversion receives bits from a serial line or channel, and sends them in batches along several lines or channels. The output of an S/P converter cannot go any faster than the input, but the circuit is useful when it is necessary to interface between a serial-data device and a parallel-data device. Figure 26-5 illustrates a circuit in which a P/S converter is used at the source (transmitting station), and an S/P converter is used at the destination (receiving station). In this example, the words are 8-bit bytes. However, the words could have 16, 32, 64, or even 128 bits, depending on the communications scheme.
Data Compression Data compression is a way of maximizing the amount of digital information that can be stored in a given space, or sent in a certain period of time. Text files can be compressed by replacing often-used words and phrases with symbols such as =, #, &, $, and @, as long as none of these symbols occurs in the uncompressed file. When the data is received, it is uncompressed by substituting the original words and phrases for the symbols.
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