Part 2: Sequential Multiplier 1. You are asked to multiply two binary numbers using the sequential multiplier discussed in the class. These two binary numbers are 1101, and 10001. a. Show your work for multiplication, step by step. b. How many bits do you need to store the result?
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- 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…1.Generate a list of 10 random numbers with values between 1 and 20, and submit the first 10 numbers as an answer to this question. (Use any random number generator). For the purpose of using them in the next questions, call these numbers A, B, C, D, . . . J 2.Convert A*pi /B into degrees. 3.Find the result of a. Degrees = (A \times B \times C) + 180 mod 180; this is the remainder after dividing (A \times B \times C) + 180 by 180 b. Convert Degrees into radians, and put the answer in \pi notation. 4.Calculate the measurements of the acute angles of a right triangle whose sides measure A, B, C units.code in java pls Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.
- Write a program that calculates the equivalent resistance of a circuit. n electrical resistors with resistance values R1, R2,.., Rn are said to be connected in parallel if the same voltage is applied across each. Their equivalent resistance Reg is related to the values R1, R2, ..., Rn by: 1 1 1 1 + +...+ R R R, R. "eq Write a program that prompts the user to enter the resistance of n resistors. The user should be prompted continuously by using a while loop until a zero or negative value is entered (the program should count the number of resistors n entered by the user and store the values in an array). Use another separate loop to print the resistance values entered by the user and the equivalent resistance Reg. Test your program with R1= 1 kn, R2= 2 kn, R3= 4 kQ and R4= 8 kQ.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:WATERSORT PROGRAM - JAVA •The aim of Part 2 is to set up the puzzle for the player to solve in Part 3. IMPORTANT NOTE: We are not going to start with 2 empty bottles, but rather with 8 empty slots spread over the 5 bottles as explained in the intro video. Start with 5 empty bottles. Use a random number generator to fill bottles one slot at a time with the colours while keeping 8 slots empty – there is a total of 5*4 = 20 slots – so if we will 12 slots, 8 are free. •Advantage: Easy to create a puzzle with a good mix •Disadvantage: With more colours and bottles and only 2 open bottles for more advanced versions of the game, the result might not be solvable. Start with three sorted bottles. In the strategy the idea is to load three bottles with uniform colour and then move ink around for a number of moves until the bottles are mixed up. •Advantage: Result is always solvable since the bottles are created in a reversed-game strategy. •Disadvantage: It is hard to develop an algorithm which…
- Growing Triangles, cont. 1 2 3 The first figure is made up of three line segments of equal length. You can think of the second figure as made of nine segments of that same length, and so on. 5. Find the number of segments of the given length that would be needed for the tenth figure in this sequence. 6. Explain how you would find the number of segments of the given length that would be needed for the 100th figure in this sequence. 7. Write a rule for determining the number of segments of the given length for any figure in this sequence. Explain why your rule works. This activity was adapted from Driscoll, M. Fostering Algebraic Thinking, Heinemann 1999.# Exercise 1. Implement the algorithm covered in lectures that determines if an integer n is prime. Your function should return True, if n is prime, and False otherwise. Your algorithm has to be effective for n ~ 1,000,000,000,000.def isPrime(n):Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray.
- Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part. Ex: If the input is: 130 50 130 the output is: 80 0 80 Find the smallest value, and then subtract it from all three values, thus removing the gray. Note: This page converts rgb values into colors. 461710.3116374.qx3zqy7 LAB ACTIVITY 1 111 4.10.1: LAB: Remove gray from RGB Type your code here. 111 main.py 0/10 Load default template...Summary: Given integer values for red, green, and blue, subtract the gray from each value. Computers represent color by combining the sub-colors red, green, and blue (rgb). Each sub-color's value can range from 0 to 255. Thus (255, 0, 0) is bright red, (130, 0, 130) is a medium purple, (0, 0, 0) is black, (255, 255, 255) is white, and (40, 40, 40) is a dark gray. (130, 50, 130) is a faded purple, due to the (50, 50, 50) gray part. (In other words, equal amounts of red, green, blue yield gray). Given values for red, green, and blue, remove the gray part.Write these in Pseudocode #1a – In pseudocode, write a call to a function that passes 1 Integer variable and 1 Integer array, and saves a Boolean value in return. #1b – In pseudocode, write the function that accepts 1 Integer and 1 Integer array and returns a Boolean. In the function, search the Integer array with a for-loop, and if the Integer parameter is found in the array, return false. If the Integer parameter is not found, return true. #2a – In pseudocode, write a call to a module that passes 1 Integer variable, 1 Real variable, 1 String constant, and 1 String literal as arguments. #2b – In pseudocode, write the module header that accepts 1 Integer, 1 Real, and 2 Strings as parameters. #3 – This pseudocode has multiple problems. Fix the calling statement and the definition below so that the routine accepts 3 grades as parameters and returns the average into a variable.…