Chapter 16 Identification Numbers Understand the purpose of a check digit. Know what a bmod
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1 (c) Epstein Exam 3 Review Exam 3 Learning Objectives Chapter 16 Identification Numbers Understand the purpose of a check digit. Know what a bmod m means and be able to calculate xmod y. Know the most common types of errors that can occur when dealing with identification numbers. When given the scheme to determine a check digit, be able to o find the check digit, o determine if a code is valid o find a missing value in the code if the check digit is given. Show how a check digit scheme can or cannot find different errors in identification numbers. Given an identification number and the scheme, use it to code or decipher the information such as birth date and gender.
2 (c) Epstein Exam 3 Review Chapter 17 Information Science Know what a binary code is. Know how to convert from binary numbers to decimals and decimals to binary. Use error checking to determine or verify a code word, given the message and the error checking method. Be able to compute check digits for code words given the parity-check sums for the code. Be able to determine the distance between two binary codes. Be able to determine the weight of a code and use the weight to determine the error detecting/correcting abilities of the code. Know what nearest-neighbor decoding is and be able to use it for decoding messages Be able to encode and decode messages that have symbols (such as letters of the alphabet) expressed in binary form. Use delta encoding to compress or expand data. Be able to decode using a Huffman code and be able to create a Huffman code given a table of probabilities. Be able to encrypt and decrypt messages using the Caesar, decimation, and Vigenère ciphers. Be able to add binary strings.
3 (c) Epstein Exam 3 Review Practice Questions 1. Find the following values: 6 mod 13 = 42 mod 7 = 30 mod 4 = 2. Decide if the following are true or false: 12 2 mod 10 is 53 2 mod 13 is
4 (c) Epstein Exam 3 Review 3. A code is given by aaaa where a 4 is the check digit. Given a 3a a 7a mod10, that (a) Find the check digit for the code 123. (b) Determine the value of x in the code 34x7 given that the check digit is valid. (c) Will this code find the error of transposing the first two digits? (d) Will this code find a single digit error in the 3 rd position?
5 (c) Epstein Exam 3 Review 4. A ZIP+4 code has a check digit in the 10 th position that is found by summing the first 9 digits and the check digit will bring the sum of all the digits to a multiple of 10. What is the check digit for a ZIP+4 of ? 5. An ID number has 5 digits where the first two digits are the last two digits of the person s zip code, the 3 rd digit is the person s birth month mod 10 and the last two digits are the person s birth day. What is the ID number of a person who lives in the zip code and is born on November 28, 1983? 6. Convert the binary number to a decimal number. What is decimal number 97 expressed as a binary number? Add the binary numbers and What is the code word for the message if the code word is the message appended with two check digits found using the parity-check sums a 1 + 2a 2 + a 3 and 3a 1 + a 3 + a 5.
6 (c) Epstein Exam 3 Review 8. A code C = { , , , } can send 4 different messages. (a) What is the weight of this code? (b) How many errors can this code detect? (c) Use nearest neighbor decoding to decode, if possible, the message Data was compressed using the encoding e 0, s 10, t 110 and a 111. Decode the message Decode the information that used delta encoding: Encode the values using delta encoding. In each case, how much compression was there?
7 (c) Epstein Exam 3 Review 11. Use Huffman encoding to create a binary code for the directions that occur with the following frequencies: East West North South Up Down Use the Caesar cipher with a shift of 16 to encrypt the message D I P L O M A A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
8 (c) Epstein Exam 3 Review A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 13. Use a decimation cipher with key 3 to encrypt the message N E W Y E A R. 14. Use the Vigenere cipher with the key word HANK to encrypt the message H O M E R U N. 15. Given that TROUT was used as the key word to encrypt ZFBY YBJVCGZ with the Vigenere cipher, decrypt the message.
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