letter to an eight-digit number. The check letter should be computed as follows: Break the number up into 4 two-digit numbers. Add the four numbers together. Find the remainder after division by 26. The check letter is the letter in the alphabet that corresponds to the number just computed. (A=0, B=1, C=2, etc.) Print the original number followed by the check letter. Use at least one function that returns a value when you write this program.
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- 5: CheckLetter.cpp) Write a program that adds a checkletter to an eight-digit number. The check letter should becomputed as follows: Break the number up into 4 two-digitnumbers. Add the four numbers together. Find theremainder after division by 26. The check letter is the letterin the alphabet that corresponds to the number justcomputed. (A=0, B=1, C=2, etc.) Print the original numberfollowed by the check letter. Use at least one ffunction thatreturns a value when you write this program.5: CheckLetter.cpp) Write a program that adds a check letter to an eight-digit number. The check letter should be computed as follows: Break the number up into 4 two-digit numbers. Add the four numbers together. Find the remainder after division by 26. The check letter is the letter in the alphabet that corresponds to the number just computed. (A=0, B=1, C=2, etc.) Print the original number followed by the check letter. Use at least one function that returns a value when you write this program.9: perfect.cpp) A number is called perfect if the sum of its divisors is equal to the original number. A number is called deficient if the sum of its divisors is less than the original number. A number is called abundant if the sum of its divisors is more than the original number. Write a program that answers the following questions: What numbers below 5000 are perfect? What odd numbers below 5000 are abundant? What are the relative proportions of deficient, abundant, and perfect numbers? 5000 should be in a global constant.
- Arranging Pebbles Write a program that can arrange a group of pebbles into its designated position. We have 4 types of pebbles: Red, white, blue, and green colored pebbles. Supposed that we have an n-number of pebbles, the program should be able to check the color of the pebble and arrange them in such a way that it will look something like this: Example, if there are 9 pebbles; 1 green, 3 white, 2 blue, and 3 red, the program will output something like this: RRRWWWBBGArranging Pebbles Write a program that can arrange a group of pebbles into its designated position. We have 4 types of pebbles: Red, white, blue, and green colored pebbles. Supposed that we have an n-number of pebbles, the program should be able to check the color of the pebble and arrange them in such a way that it will look something like this: Example, if there are 9 pebbles; 1 green, 3 white, 2 blue, and 3 red, the program will output something like this: RRRWWWBBG NOTE: The program will let the user to enter the pebbles and then the program will automatically arrange it. Sample output 1: R=Red, W-White, B=Blue, G=Green Enter pebbles: rwgbrgwbrg Arranged pebbles: RRRWWBBGGG Sample output 2: R=Red, W-White, B=Blue, G=Green Enter pebbles: abcde Invalid input Notice that the arrangement of the pebbles is: Red, White, Blue, GreenCredit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…
- Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…compare loans with various interest rates) Write a programthat lets the user enter the loan amount and loan period in number of years anddisplays the monthly and total payments for each interest rate starting from 5% to10%, with an increment of 1/4. Here is a sample run: Loan Amount: 10000Number of Years: 5Interest Rate Monthly Payment Total Payment5.000% 188.71 11322.745.250% 189.86 11391.595.500% 191.01 11460.70...9.750% 211.24 12674.5510.000% 212.47 12748.23Q1:Write C code for a program that reads two positive integer number, checks whether these number are co-prime or not, and prints the result.Note: two numbers are co-prime numbers if they do not have a common factor other than 1. For example, 10 and 11 are co-prime.
- Leap Year: The earth doesn't take exactly 365 days to revolve around the sun and because of this we have leap years roughly every 4 years to make up the difference. The exact rule is: • Years divisible by 4 are leap years • except if they are also divisible by 100 and then they are not leap years (so 1900 was not a leap year), • unless they are also divisible by 400 and then they ARE leap years (so 2000 was a leap year). Part 1) Write a function in Python that takes as input a number, the year, and determines if it is a leap year or not. The function should return True if it is a leap year and False otherwise. Part 2) Write a main function to test out your leap year function on a few different illustrative inputs.Problem Description: In the Whimsical Library, each book is enchanted with a magical code to ensure the protection of knowledge. The validation process for these magical codes involves a combination of mathematical spells. The validation process is described as follows: Take the sum of the digits at odd positions from left to right. Take the sum of the squared digits at even positions from left to right. If the absolute difference between the results from step 1 and step 2 is a prime number, the book code is considered valid; otherwise, it is invalid. Example 1: Consider the magical book code 86420137. Step 1. Take the sum of the digits at odd positions from left to right. 8+4+0+3=15 Step 2. Take the sum of the squared digits at even positions from left to right. 6^2+2^2+1^2+7^2=36+4+1+49 = 90 Step 3. If the absolute difference between the results from step 1 and step 2 is a prime number. 115-901 75 (not a prime number) Book code 86420137 is invalid. Example 2: Now, let's examine the…1) Simple Calculator: In Python, implement a simple calculator that does the following operations: summation, subtraction, multiplication, division, sqrt, power, natural log and abs. a) Follow the instructions below: To work with the calculator, the user is asked to enter the first number, then the operation, and finally, a second number if required. Your code has to recognize the need for the second number and ask for it if required. After performing one operation, the calculator prints the output of the operation. After performing one operation, the calculator must not exit. It has to start again for the next operation. The calculator will be closed if the user writes 'e' as any input. Use functions to perform the operations and the appropriate conditions to prevent common errors such as entering characters as one of the numbers etc. b) Run your code and provide the results for at least one example per operation. - -