Question

original letter (input) Fig. 12: Graph of a code In problems 15 18, rules are given for encoding a 6 letter alphabet. For each problem: (a) Is the encoding rule a function? (b) Is the encoding rule one-to-one? (c) Encode the word "bad. (d) Write a table for decoding the encoded letters and use it to decode your answer to part (c). (e) Graph the encoding rule and the decoding rule. (Fig. 12 shows the graphs for the code in problem 18. original letter ncoded letter d f b a f d a c What happens if you apply this coding rule three times: Encode ( Encode( Encode("bad"))) = ? encoded letter (indino

Answer 1

Hre enteding rule a Yes June tion because it we as ordered pairs fer arrange oviginal tter ond the entoded letter then no two ele ments can haue Hhe Same fivst element oviginal letter) and has a diHerent second element (encod ed etter) Yes, he coding Yule is one to one Oxdleved paiys because two te in second element Hhe ele ments can hau Same with ditterent first elimnt (o) Jov uniqhe every original tter we haue a Aoesn't correspend this and en cocled ittev to auy otev Oviginal uttev He gvaph From cde. Encoding o hte word bad @oviginal letter Encoded Cetter C e a Detoding of cde = bad

Enco de (Encocle (En ods ("bad'))) = Entede (Entoele (aec)) = Encode (e b t) = bad fiH .:Encode (Encocle (Encode ("bad"))) - bad I we apply tis coding ule word three times /itqiues he same we used to en code.