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digit Digits in the position equal to the modulus are not checked at all using the simple successive arithmetic weights scheme Alternate weight assignments which have been used are also shown in Fig 11-1b; the series (1, 10, 1, ) is obtained in e ect by division of the number by 11 Only detection is provided by parity encoding, and even the detection capability is limited Whereas with simple parity all one-bit errors will be detected, reversals of an even number of bits within a single character will not be noted In situations where errors are apt to occur in batches or bursts, the detection probability remains high since a number of sequential characters will be a ected, many of which will have a detectable parity error

There are times when a while loop might not serve your purpose. In certain situations, you might want to reverse the semantics from Run while this is true to the subtly different Do this, and repeat while this condition remains true. In other words, take the action, and then, after the action is completed, check the condition. Such a loop will always run at least once. To ensure that the action is taken before the condition is tested, use a do...while loop:

3

do statement while (boolean-expression);

.

The syntax is to write the keyword do, followed by your statement (or block), the while keyword, and the condition to test in parentheses. The statement must end with a semicolon, unlike the plain while loop. Example 5-13 rewrites Example 5-12 to use a do...while loop.

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11-2-2 Duplication Duplication of data is another simple form of achieving redundancy It is used during input, in some tape systems, and in the storage of critical data If the data are processed through di erent channels and then matched, the error-detection probability will be quite high To decide which copy to use for correction requires another indicator, for instance, a parity error This approach is hence mainly e ective for hardware faults, program faults will create the same error in both paths The cost of duplicate entry and maintenance of data is, of course, quite high Keypunching with subsequent veri cation of the punched cards by retyping and matching is an example of duplication of data during one small interval of the informationprocessing cycle The original document must remain available to arbitrate when an error is found When information is copied or transmitted, a duplicate will exist for some length of time It can be useful to design the system so that this duplicate remains available until correctness of the copy has been veri ed The detection of an error can be used to initiate recopying of the data This technique is prevalent in the transmission of data over transmission lines Not only is the vulnerability of data during transmission high, but the size of the damaged areas is frequently large A reason for errors to occur in bursts is that the data are transmitted serially, using separate clocks, one on each end, which are used to de ne the individual bit positions A relatively long time will be required to resynchronize these clocks after a timing error Burst errors are also caused by transients induced when lines are being switched in the dial-telephone network Maintenance of completely duplicate les on disks is rarely feasible on generalpurpose computers The cost of completely duplicated storage and of extra channel capacity may also be excessive if one considers the current high reliability of computer storage devices Complete data redundancy also increases the time required for le update The computer systems designed for non-stop operation have fully duplicated channels and controllers to avoid delays in writing to duplicated or mirrored disk units To achieve much of the reliability that a duplicated system can provide, a small amount of selected critical information may be replicated In a le system, this may be the index information or the linkage between records The damage due to loss of a data element can be expected to be minor compared with the e ect of the loss.

using using using using System; System.Collections.Generic; System.Linq; System.Text;

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