Assume you have a base 10 computer that stores floating-point numbers using a 5 digit normalized mantissa (x.xxxx), a 4 digit exponent, and a sign for each. (a) For this machine, what is machine epsilon? (b) What is the smallest positive normalized number that can be represented exactly in this machine?
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- Answer in python language only A very successful cinema director named "Chef" decided to solve the problem. When a customer wants to buy a ticket, the clerk at the ticket window asks the visitor if he or she needs a rest area, and if so, which one: left, right, or both. We know that in the audience they are expected to appear, their L needs a left-handed position, their R needs a right one, Z does not need a single one and B needs both. Your job is to count the number of people who can attend the show. In the theatre there are N rows with each M seat. There is only one lounge between the two adjacent seats. Seats at the beginning and end of the row have two armrests. Help him using the C++ programming language. Input 1 331209 Output: 8The Problem A Zeckendorf number is defined for all positive integers as the number of Fibonacci numbers which must be added to equal a given number k. So, the positive integer 28 is the sum of three Fibonacci numbers (21, 5, and 2), so the Zeckendorf number for k = 28 is three. Wikipedia is a satisfactory reference for our purposes for more details of the Zeckendorf and Fibonacci numbers. In both cases, you do not need to read the entire Wikipedia entry. Your assignment is to write two ARM assembly language functions which calculate Zeckendorf and Fibonacci numbers. Zeck function The first function, which should be named zeck, receives an integer parameter in register zero. This will be the variable k we discussed above. Your code should return the Zeckendorf number for k in register zero when complete. If the parameter k is zero, return zero. If the parameter k is negative, return minus 1. If the parameter k is too large to calculate, return minus 1. Fib function The other function,…Answer In python only Tom explored a binary number system and found that it is much easier to perform smart tasks such as AND, XOR or bit shift on non-negative integers, while it is much more complex to perform arithmetic. After playing binary options for a while, Chef developed an exciting algorithm to add two non-bad numbers A and B: Now Chef wonders how fast this algorithm is. Considering the initial values of AA and BB (binary representation), you need to help him calculate the times when the algorithm loop is repeated. Input 3 100010 0 0 100010 11100 1010 Output 0 1 3
- = = 2×2 and 6 = (a) A composite number is a positive integer that has at least one divisor other than 1 and itself. For example, 2 1×2 is not a composite number but 4 2 × 3 are composite numbers. A logic circuit has four binary input variables, A, B, C and D. The output Z of the logic circuit is 1 if the unsigned integer represented by the binary number ABCD is a composite number. Using variables A and B for the select inputs S1 and S0 of a 4-to-1 multiplexer, implement the logic function Z(A, B, C, D) using this multiplexor and other logic gates.A geometric sequence is a sequence of numbers where each term after the first isfound by multiplying the previous one by a fixed, non -zero number calledthe common ratio. For example, the sequences2, 6, 18, ....3,15,75, ….are a geometric sequences with common ratios 3 and 5 respectively. A geometricsequence is generally characterized by three numbers, the first term ‘a’, thecommon ratio ‘r’ and the number of terms ‘n’. A geometric series is the sum ofnumbers in a geometric sequence. 2+6+18 and 3+15+75 are examples of geometricseries with three terms each.The nth term of a geometric series with initial value ‘a’ and common ratio ‘r’ isgiven by: ?? = ???-1. While the sum of a geometric series is given by:?(1 - ??)1 - ?Create a class GeometricSeries to model a Geometric series. Using friend function,overload the ‘~’ operator to find the nth term of the series. Likewise, overload the‘!’ operator (using a friend function) to find the sum of a Geometric series.Provide a function display() in…We usually write numbers in decimal form (or base 10), meaning numbers are composed using 10 different “digits” {0,1,…,9}.{0,1,…,9}. Sometimes though it is useful to write numbers hexadecimal or base 16. Now there are 16 distinct digits that can be used to form numbers: {0,1,…,9,A,B,C,D,E,F}.{0,1,…,9,A,B,C,D,E,F}.So for example, a 3 digit hexadecimal number might be 2B8. How many 2-digit hexadecimals start with a letter (A-F) or end with a numeral (0-9) (or both)?
- A number in base 2 (binary) is a number such that each of its digits is 0 or 1. To convert frombinary to decimal (base 10), the digits starting from the right are multiplied by powers of 2(starting at 0) and added. For example, the value in decimal of 10011 is calculated as follows:Write in a python program..Suppose that among the four (4) digit (abcd) positive integers, those that have the property of multiplying the first two digits and the last two digits, equaling the product of the substituted form of their digits (ab * cd = ba * dc), are called Inverted Numbers. Write the program that says whether a 4-digit number entered from the keyboard is a Reverse Number. For example, the number 1242 is an Inverted number. 12 * 42 = 21 * 24 EXAMPLE 1: Enter the four-digit number: 6213 ------------------------------------ The number entered is an Inverted number EXAMPLE 2: Enter the four-digit number: 1234 ------------------------------------ The number entered is not an inverted numberusing Python programming language. The Towers of Hanoi is a classic puzzle that consists of 3 towers, and n disks of different sizes that can slide onto any tower. The puzzle starts with the disks sorted in ascending order of size from top to bottom. It has the following constraints:a. Only one disk can be moved at a time.b. A disk can only be moved from the top of one tower to another tower.c. A disk can only be placed on top of a larger disk. Write a pseudo-code.
- 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 numbers are there in the…Maclaurin series are a type of Mathematic series expansion in which all terms are nonnegative real powers of the variable. The Maclaurin series expansion for sin(x) is given by the following formula that is valid for all real values of x such that x is in radians (Note that: radians(x) = x X 1/180): sin(x) = x - 3! 5! Implement a Java program to compute the value of Maclaurin series expansion for sin(x) where x is a nonnegative real value according to the following: a. Write a java method named Factorial that takes as an argument an integer value n and returns the mathematical factorial n! of n as a long value such that: n! = n x (n – 1) x (n – 2) ... × 2 x 1 b. In the main method: i. Ask the user to enter the value of the angle x to be calculate in the Maclaurin series expansion for sin(x) as given above. x Should be entered in degrees, i.e., 0° < x< 360° and then converted into radians using the formula: (radians(x) = x × 1/180). ii. Ask the user to enter the number of terms to be…subject theory of computer science Given the language, L = {abb, aabb, babb, aaabb, ababb, …………..}, which of the following is the correct the regular expression that can represent L. A.(a+b)*ab B.(aa)*(bb)*b C.(a*ba*) D.(a+b)*abb