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                    9.2 - What are digital systems?
 Data networks are already digital and telephones 
                      are fast becoming so. That means that the signals carried 
                      are not waves (like sine waves) which are subject to deterioration 
                      as they are fed through cables, but consist of a series 
                      of pulses. If a distorted wave is received, it is usually 
                      impossible to reshape it to the form it had when transmitted 
                      because we have no information to tell us what that shape 
                      was originally. If a digital pulse becomes distorted, it 
                      can be reshaped, because we know that it was rectangular. 
                      Information sent digitally is encoded using the binary system, 
                      which has only two numbers, 1 and 0. The rectangular pulse 
                      represents 1 and the absence of a pulse at the expected 
                      time is a 0. Some of the low value binary equivalents of 
                      decimal numbers are shown in Table 9.1 A lot more numbers are required in the 
                      binary system than in the decimal, and vast numbers of binary 
                      digits will be required to represent a complex wave-shape, 
                      such as that generated by the microphone in a telephone. 
                      Modern electronics is quite able to handle these large numbers 
                      of digits, so most means of communication are becoming digital. 
                       
                        | Table 9.1 - Some decimal numbers 
                            and their binary equivalents |   
                        | Decimal | Binary | Decimal | Binary | Decimal | Binary | Decimal | Binary |   
                        | 1 | 00001 | 9 | 01001 | 17 | 10001 | 25 | 11001 |   
                        | 2 | 00010 | 10 | 01010 | 18 | 10010 | 26 | 11010 |   
                        | 3 | 00011 | 11 | 01011 | 19 | 10011 | 27 | 11011 |   
                        | 4 | 00100 | 12 | 01100 | 20 | 10100 | 28 | 11100 |   
                        | 5 | 00101 | 13 | 01101 | 21 | 10101 | 29 | 11101 |   
                        | 6 | 00110 | 14 | 01110 | 22 | 10110 | 30 | 11110 |   
                        | 7 | 00111 | 15 | 01111 | 23 | 10111 | 31 | 11111 |   
                        | 8 | 01000 | 16 | 10000 | 24 | 11000 | 32 | 100000 |  The increasing introduction 
                      of cabling systems with higher bandwidths are allowing digital 
                      systems to become faster and their use is becoming commonplace. 
                      Wireless systems, using radio waves in place of cables are 
                      being developed; but such systems, of course, require little 
                      or no data cabling. |