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.)

Greatest Common Divisor Two integers A and B have the greatest common divisor which is the largest positive integer that divides A and B, evenly, without a remainder. One way to find the Greatest Common Divisor is to consider the prime factors for A = 372 and B = 84 as shown below. 372 223 * 31 84 22*3*7 GCD (372,84) = 2²*3= 12 In a well-documented Python program, hmwk3Q3.py, query the user for two integers. Use a while-loop to find the remainder R when dividing A by B.Replace the value of A with the value of B and replace the value of B with the value of R.Continue this process within the while-loop until the value of B is zero. At that time the value of A will be the GCD. In a comment, provide the response to your program when A= 98,025,733,547 and B = 2,345,109,894,323.

A dual-tone multi-frequency (DTMF) system is used to produce signals that represent the dialed digits in a telephone system. A combination of a horizontal frequency and a vertical frequency is produced whenever a button is pressed on the keypad. The figure below shows a telephone keypad and the different frequencies used. 697 Hz 770 Hz 852 Hz 941 Hz 1209 Hz 1 4 7 1336 Hz 2 1477 Hz 3 5 6 8 9 # 0 * Generate the DTMF tone decoder that will take an audio file the DTMF signal of your student number. The student number must be presented as one complete string (e.g. 2020123456)

The International Standard Book Number (ISBN) is a number that uniquely identifies a book. Publishers can buy or receive ISBNs from the International ISBN Agency. There are two types of ISBNs: ISBN-13 and ISBN-10, which are 10- and 13-digits long, respectively.ISBN-10 has a pattern, where the last digit can be found using the first 9. Additionally, ISBN-10 can also be used to calculate its ISBN-13 equivalent (and vice versa). Write two functions in ISBN.java. The main method is implemented for you so you can test your functions. Instructions on how to run this file to make use of the test.txt file are detailed below. calculateISBN10(int[] isbn) computes the last digit of the ISBN-10 number. The first 9 of the 10 digits of the ISBN will be passed to the function as the parameter isbn integer array of size 10. The last integer in the array will be -1. Your job is to calculate the last digit (called the check digit), and update the last index of the isbn array with the computed…

Convert the decimal (base 10) number 40 to a binary (base 2) number that has only the digits '0' and '1'. Binary 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.)

A complex number is a number in the form a+bi, where a and b are real numbers and i is √(-1)   The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas:   a + bi   +   c + di  =  (a+c) + (b+d)i    (addition) a + bi   −  (c + di) = (a−c) + (b−d)i   (subtraction) (a + bi) * (c + di) = (ac−bd) + (bc+ad)i   (multiplication) (a + bi) / (c + di)  = (ac+bd) / (c2+d2) + (bc−ad)i / (c2+d2)   (division)   You can obtain the Absolute Value for a complex number using the following formula: |a + bi|  =  √(a2 + b2)   A Complex number can be interpreted as a point on a plane by identifying the (a,b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in the example below.   (1) Design a class named Complex for representing complex numbers Include…

# given a radius, find the area of a circle # use value of pi as 3.1415 def get_area_circle(r):   """ what it takes radius of a circle (any positive real number) what it does: computes the area of a circle given a radius, find the area of a circle area = pi*r2 (pi times r squared) what it returns area of a circle. Any positive real number (float) """   # your code goes in here

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…