Please provide the explanation about how to solve the problem and you only need to help me with Data Representation: Numbers.

 

 

CSE 101 Homework 03Unless otherwise specified, all homework is expected to be completed before your next class sessionmeets. In many cases, your next class will build on the prior day’s homework and not having it completedmay inhibit your understanding of new class material.Flash DriveIf you have not already done so, using Notepad, add a file to your flash drive titled _IFFOUND.TXT(putting an underscore at the beginning of a filename will make that file appear at the top of the list).In that file, enter your name, email and/or phone number – whatever information you are willing toshare with others so they can contact you they find your flash drive.NOTE: Flash drives with identifying information can be returned to the owner; any flash drives turnedin to us without an IFFOUND file are erased.Data Representation: Numbers1.Think about the examples we discussed in class - how numbers can be represented in 4 bits or8 bits, etc. Expand this thinking to 16 bits.If you were given 16 bits to work with, as the basisfor your representation scheme:a.Assuming that all 16 bits are used only to represent digits (no excess bit), what wouldbe the lowest integer you could represent? What would be the highest?b.Assuming that the leftmost bit is reserved as an excess bit and the remaining 15 bitsrepresent digits of the number, what would be the lowest integer you couldrepresent? What would be the highest?c.How many unique numbers can be represented?2.You were recently hired to operate the MSU scoreboard for a variety of sporting eventshosted on campus. Unfortunately, the MSU scoreboard requires that the operator enter inthe appropriate score using a series of binary switches where a switch in the UP positiondenotes a ‘0’ and a switch in the DOWN position denotes a ‘1’ (ex. UP-DOWN-DOWN-UPwould be 0110).a.For MSU football events, the scores are always positive integers that never exceed160 points. Assuming that all of the switches will be used only to represent digits (noexcess bit), what is the minimum number of switches needed to represent any scorewithin this range? What is the lowest score you could represent with this number ofswitches? What is the highest score you could represent with this number ofswitches? Describe how you would represent the score ‘92’ using UP/DOWNnotation.b.For MSU disc golf events, each score represents the number of strokes the player isabove or below a certain threshold (par). Disc golf scores can be either positive ornegative integers that never exceed +/- 27. Assuming that the leftmost switch isreserved as an excess bit and all of the remaining switches represent digits, what isthe minimum number of switches needed to represent any disc golf score within thisrange? What is the lowest score you could represent with this number of switches?