Binary numbers need more places for counting because A. They are always big numbers B. Any no. of 0's can be added in front of them C. Binary base is small D. 0's and l's have to be properly spaced apart E. None of the above
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- 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.…Part 3: Negative Binary Numbers This standard method of binary number representation doesn't account for negative numbers. We can't just throw a negative sign in front of a binary number though - everything in a computer must be represented by 1's and 0's. One way we can get around this is by using the very first digit of each binary number to represent the sign: 0 for positive and 1 for negative. This is called 1's complement representation. 00010110 -> 0 0010110 -> positive 22 10010110 -> 1 0010110 -> negative 22 Using 1's complement representation we can represent the numbers -127 through 127 in a single byte (note that we can only go half as high as an unsigned number because half of the possible representations for that byte are being used for the negative numbers). However, there is a flaw with 1's complement: the representation of the number 0. 00000000 -> 0 0000000 -> zero 10000000 -> 1 0000000 -> negative zero? Because of this, we…P1 P2 P3 P4 A pentagonal number is one that corresponds to dots arranged into a pentagon. Above are the first four pentagonal numbers and their pentagons. The pentagonal number PN has sides made of N dots. When you count the dots for a pentagonal number, include the dots for the inner pentagons. So to figure out how many dots PN has, find out how many P(N-1) has and add the dots for the new sides of size N. P1 = 1, P2 = 5, P3 = 12, P4 = 22 Figure out a recursive formula for PN and then write a function that implements it. That is, implement pentagonal() using recursion. pentagonal(1) -> 1 pentagonal(2) -> 5 pentagonal(3) -> 12
- Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…i want code in python Rahul is a maths genius so he came up with a game and as raj is Rahul's best friend so Rahul decided to play the game with raj. Rahul gives raj two numbers LL and RR and asks raj to find the count of numbers in the range from LL to RR (LL and RR inclusive) which are a digit palindromic. A number is a digit palindromic if its first digit is the same as its last digit. As raj is not very good at maths so your task is to help Raj find out how many numbers are a digit palindromic in the range LL to RR. For example if LL = 88 and RR = 2525 .The following numbers are a digit palindromic in the range of LL to RR: 8, 9, 11, and 22. If LL = 12511251 and RR = 12661266. The digit palindromic numbers are 1251 and 1261. Input format The first line contains an integer denoting the number of test cases. Each test case is described by a single line that contains two integers LL and RR. Output format For each test case output, an integer denoting how many a digit palindromic…#Solve it with C programing Mr. X is a student of Computer Science. He is facing a problem and needs your help to solve it.The problem is, you will be given N integer numbers( 4<n<=100) which are arranged side by side (x1,x2,x3,x4,.....).Now you have to sort those items in ascending order. After doing this , your job is to print the items in a sorted way and find the median.[NB: when N is odd , Median= (N+1)/2; When N is even Median= (N/2)+1 ] Sample Input: 74 7 11 2 9 3 5Sample Output:2 3 4 5 7 9 115
- CCC '13 J1 - Next in line Canadian Computing Competition: 2013 Stage 1, Junior #1 You know a family with three children. Their ages form an arithmetic sequence: the difference in ages between the middle child and youngest child is the same as the difference in ages between the oldest child and the middle child. For example, their ages could be 5, 10 and 15, since both adjacent pairs have a difference of 5 years. Given the ages of the youngest and middle children, what is the age of the oldest child? Input Specification The input consists of two integers, each on a separate line. The first line is the age Y of the youngest child (0Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?Java Assignment: Mathematics is the very interesting subject and for the India it is also a point of pride because Mr. Brahmagupta gives the 0 to world. So, in this series want to be great mathematician like Brahmagupta. He is keep practicing for her goal achievement. Once He knew about the Vector dot Product So He asked his friend Sammer the problem. He gave her two vectors A and B length N. He asked him to reduce the dot output of these two vectors. Sammer has the option to change the order of the objects of these two carriers i.e., in any two objects I and j at any vector can change the shape of these objects. Since Sammer is new to the program, he has asked you to resolve the issue using C++ Programming language. Input: 1 4 142-5 3 -8 5 2 Output: -50Sevens rule, zeros drool def seven_zero(n): Seven is considered a lucky number in Western cultures, whereas zero is what nobody wants to be. Let us briefly bring these two opposites together by looking at positive integers that consist of some solid sequence of sevens, followed by some (possibly empty) solid sequence of zeros. Examples integers of this form are 7, 77777, 7700000, 77777700, and 70000000000000. 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. Even though discrete math and number theory help, this exercise is not about coming up with a clever symbolic formula and the proof of its correctness. This is rather about iterating through the numbers of this constrained form of sevens and zeros efficiently and correctly in strictly ascending order, so that the function can mechanistically find the smallest working…C programming The field of astronomy has been significantly advanced through the use of computer technology. Algorithms can automatically survey digital images of the night sky, looking for new patterns. For this problem, you should write such an analysis program which counts the number of stars visible in an bitmap image. An image consists of pixels, and each pixel is either black or white (represented by the characters # and -, respectively). All black pixels are considered to be part of the sky, and each white pixel is considered to be part of a star. White pixels that are adjacent vertically or horizontally are part of the same star. Input Each test case begins with a line containing a pair of integers 1≤m, n≤100. This is followed by mm lines, each of which contains exactly nn pixels. Input contains at least one and at most 50 test cases, and input ends at the end of file. Output For each case, display the case number followed by the number of stars that are visible in the…JAVA CODE PLS THANK YOU 1. The Perfectionist's Problem by CodeChum Admin I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because 6 = 1 + 2 + 3 Output A single line containing the perfect numbers separated by a space. Note: The sample output below contains "dots" which are just representations (or dummies) for the actual values. 6·28·.....SEE MORE QUESTIONS