Concept explainers
Suppose that the check digit is computed as described in Example
Example
Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an
If congruence modulo
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Elements Of Modern Algebra
- Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have two letters, followed by one digit, followed by one letter. The letter W will not be used. So, there are 25 letters and 10 digits that will be used. Assume that the letters can be repeated. How many passwords can be created using this format?arrow_forwardA realtor uses a lockbox to store the keys to a house that is for sale. The access code for the lock box consists of four digits. The first digit cannot be zero and the last digit must be off. How many different codes are availablearrow_forwardSuppose that license plates in a certain municipality come in two forms: two letters (A …Z) followed by three digits (0 … 9) or three letters followed by two digits. How manydifferent license plates are possiblearrow_forward
- An IP address can be written as a 32-bit number. For a class B network, the two most significant bits are set to 10. The 16 most significant bits are used as a network ID, and the 16 least significant bits are used as a host ID. However, the host ID cannot be all O's or all 1's. How many hosts (i.e., host IDs) can there be on a class B network? Type your answer.arrow_forward4. Ron used a calculator to determine that uldsm to odmun snigno in zbivib 0.35x2.4 0.84 Ron wants to know why the rule about adding up the number of places to the right of the decimal point doesn't work in this case. Why aren't there 2+1=3 digits to the right of the decimal point in the answer? Is Ron correct that the rule about adding the number of places to the right of the decimal points is not correct in this case? Explain.arrow_forwardDecode the number using the given private key. Decode the number M = 38 using the private key d = 17 and n = 77. Assume you are decoding the number using the RSA cryptosystem. Note: You can use the Modular Exponentiation calculator to help with the calculation.arrow_forward
- Find the exact value ofx 9V2 9V2arrow_forwardAssume you help to oversee your company's computer network. As such, it is important for you to understand and be able to apply number representation and number theory, as well as other IT concepts. Part 1: Number Representation (application to binary encoding) and Combinatorics (application to IP network addressing) Note: For each of the following, you must show your work for credit. Given your responsibilities, you decide to refresh your memory with respect to number representation conversions: decimal to binary and hexadecimal (and vice versa). In the following questions, the base is denoted as a subscript. For example, 1510 is 15 in decimal (base 10), 00112 is 3 in binary (base 2), and 1A16 is 26 in hexadecimal (base 16). 1. What is the decimal representation of 100011012? 2. What is the decimal representation of FFC616? 3. What is the binary representation of 17C616? 4. What is the hexadecimal representation of 111110002?arrow_forwardwhere did the 26 and 10 come from?arrow_forward
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