Find the decimal (base 10) number that has the same value as binary (base 2) number 1110: Decimal number: (For example, the decimal number 16 is the same as the binary number 10000; the decimal number 13 is the same as the binary number 1101.)
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Find the decimal (base 10) number that has the same value as binary (base 2) number 1110:
Decimal number:
(For example, the decimal number 16 is the same as the binary number 10000; the decimal number 13 is the same as the binary number 1101.)
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- 2 3 4 5 The following are some examples of Krishnamurthy numbers: 6 7 8 9 0 1 2 3 A Krishnamurthy number is a number whose sum total of the factorials of each digit is equal to the number itself. 4 5 "145" is a Krishnamurthy Number because, 1! + 4! + 5! = 1 + 24 + 120 = 145 "40585" is also a Krishnamurthy Number. 4 + 0 + 5! +8! + 5! = 40585 "357" or "25965" is NOT a Krishnamurthy Number 3! + 5 + 7! = 6 + 120 + 5040 != 357 6 The following function will check if a number is a Krishnamurthy Number or not and return a 7 boolean value. 8 ***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…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…
- Pr.01. Add remain code and complete. number is a number whose sum total of the factorials of each digit is equal to thenumber itself. The following are some examples of Krishnamurthy numbers: "145" is a Krishnamurthy Number because,1! + 4! + 5! = 1 + 24 + 120 = 145 "40585" is also a Krishnamurthy Number.4! + 0! + 5! + 8! + 5! = 40585 "357" or "25965" is NOT a Krishnamurthy Number3! + 5! + 7! = 6 + 120 + 5040 != 357 The following function will check if a number is a Krishnamurthy Number or not and return aboolean value.""" def find_factorial(n): """ Calculates the factorial of a given number n """ fact = 1 while n != 0: fact *= n n -= 1 return fact def krishnamurthy_number(n): if n == 0: return False sum_of_digits = 0 # will hold sum of FACTORIAL of digits temp = n.Example: Enter an integer = 75 Smallest divisor is = 3Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. Draw a flow chart of perfect number.
- Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. Write a code to check whether a entered number is a perfect number or not.Sevens rule, zeros drooldef seven_zero(n):Seven is considered a lucky number in Western cultures, whereas zero is what nobody wants to be. We now bring these two opposites briefly together with positive integers that consist of some solid sequence of sevens, followed by some (possibly empty) solid sequence of zeros. Examples of such integers are 7, 77777, 7700000, 77777700, or 700000000000000. A surprising theorem proves that for any positive integer n, there exist infinitely many integers of such seven-zero form that are divisible by n. This function should return the smallest such seven-zero integer. This exercise is about efficiently generating all numbers of the constrained form of sevens and zeros in strictly ascending order to guarantee finding the smallest working such number. This logic might be best written as a generator to yield such numbers. The body of this generator consists of two nested loops. The outer loop iterates through the number of digits d in the current number.…Credit Card Number CheckThe last digit of a credit card number is the check digitwhich 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 the credit 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 of the 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 values yields 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 is valid . In our case , 23 + 27 = 50 , so the number is valid . Write a program that implements this…
- Cyclops numbersdef is_cyclops(n):A nonnegative integer is said to be a cyclops number if it consists of an odd number of digits so that the middle (more poetically, the “eye”) digit is a zero, and all other digits of that number are nonzero. This function should determine whether its parameter integer n is a cyclops number, and return either True or False accordingly n Expected result 0 True 101 True 98053 True 777888999 False 1056 False 675409820 FalseCoral Help Primary U.S. interstate highways are numbered 1-99. Odd numbers (like the 5 or 95) go north/south, and evens (like the 10 or 90) go east/west. Auxiliary highways are numbered 100-999, and service the primary highway indicated by the rightmost two digits. Thus, the 405 services the 5, and the 290 services the 90. Given a highway number, indicate whether it is a primary or auxiliary highway. If auxiliary, indicate what primary highway it serves. Also indicate if the (primary) highway runs north/south or east/west. Ex: If the input is: 90 the output is: The 90 is primary, going east/west. Ex: If the input is: 290 the output is: The 290 is auxiliary, serving the 90, going east/west. Ex: If the input is: 0 or any number not between 1 and 999, the output is: 0 is not a valid interstate highway number.hexadecimalWe usually write numbers in decimal form (or base 10),meaning numbers arecomposed using 10 different “digits” f0; 1; : : : ; 9g.Sometimes though it is useful to write numbers hexadecimal or base16. Now there are 16 distinct digits that can be used to form numbers:f0; 1; : : : ; 9;A; B; C;D; E; Fg. So for example, a 3 digit hexadecimalnumber might be 2B8.(a) How many 2-digit hexadecimals are there in which the first digitis E or F? Explain your answer in terms of the additive principle(using either events or sets).(b) Explain why your answer to the previous part is correct in termsof the multiplicative principle (using either events or sets). Whydo both the additive and multiplicative principles give you thesame answer?(c) How many 3-digit hexadecimals start with a letter (A-F) and endwith a numeral (0-9)? Explain.(d) How many 3-digit hexadecimals start with a letter (A-F) or endwith a numeral (0-9) (or both)? Explain.