1.(a) Consider sampling (quantizing, digitizing) analog temperatures. If you wan
ID: 1994163 • Letter: 1
Question
1.(a) Consider sampling (quantizing, digitizing) analog temperatures. If you want the difference between each digital temperature to be no more than 0.095 degrees and you have 5 bits per sample, what is the largest temperature you can represent if the minimum temperature is 97 °F?
(b) Now consider sampling analog temperatures in the range from -916 to 581 °F. If you use 7 bits per sample, how many degrees F does a single sample bit represent? (In other words how much temperature is represented by going from one binary number to the next?)
Explanation / Answer
a)
number of bits =
total quantization states that can be represented using these 5-bits = 25 =32
since each state rep[resent a 0.095F raise
therefore total raise =0.095*32=3.04F
minimum temperature = 97F
therefore maximum temperature =97+3.04=100.04F
b)
range of temperatures = -916 to 581
therefore, the difference = 581+916=1497F
availabe bits =7
7 bits can represent 27 =128 states
we ivide total temperature range by the total quantization states to obtain the resoution( degrreF a sampe bit can represent)
= 1497/128=11.69F
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.