Data Watch and review the following videos AND complete the exercises contained
ID: 3745480 • Letter: D
Question
Data Watch and review the following videos AND complete the exercises contained in the videos: epresentation and Binary Numbers, using the file After you have completed the videos, do the following exercises: Data Representation: Numbers (Paper and Pencil) Think about the examples we discussed in class-how numbers can be represented in 4 bits or 8 bits, etc. Expand this thinking to 16 bits. If you were given 16 bits to work with, as the basis for your representation scheme: 1. Assuming that all 16 bits are used only to represent digits (no excess/sign bit), what would be the lowest integer you could represent? What would be the highest? Assuming that the leftmost bit is reseryed as an excess/sign bit and the remaining 15 bits represent digits of the number, what would be the lowest integer you could represent? What would be the highest? How many unique numbers can be represented? a. b. c. 2. You were recently hired to operate the MSU scoreboard for a variety of sporting events hosted on campus. Unfortunately, the MSU scoreboard requires that the operator enter in the a riate score using a series of binary switches where a switch in the UP positionExplanation / Answer
1 a.) the lowest integer represented with 16 bits is 0 (if no sign/excess bits). as all the bits are 0.
0000 0000 0000 0000
the highest integer represented with 16 bits is 65,535 (if no sign/excess bits), as all the bits are 1
1111 1111 1111 1111
b) lowest is -32768 when all bits are 1 as in signed representation is most significant bit is 1 than the number is negative
1111 1111 1111 1111
highest is +32767 when the most significant bit is and all other bits are 1
0111 1111 1111 1111
c) 65536 unique number can be represent with 16 bits
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