Question 1

A consumer TV with 4K resolution has a screen that contains 3840 by 2160 array of pixels.Each RGB LED can shine at 256 intensity levels.The number of bits required to display a complete image equals ______.?

Accepted Answer

$( 3 ) ( 8 ) ( 3,840 ) ( 2,160 ) = 199 \times 10 ^ { 6 } = 2.0 \times 10 ^ { 8 }$

Question 2

An IR autofocus system has emitter and detector apertures separated by 1cm and modeled as pin holes.The light reflected from an object at range r casts a spot that is detected at a displacement of 0.1mm from the detector axis.The detector lies 0.5cm behind the pin hole.The value of r equals _____ $\text { (x.x m) }$

Accepted Answer

$\mathrm { f } = 5 \times 10 ^ { - 3 } \mathrm {~m} , \mathrm {~s} = 10 ^ { - 2 } \mathrm {~m} , \mathrm { x } = 10 ^ { - 4 } \mathrm {~m} , \mathrm { r } / \mathrm { s } = \mathrm { f } / \mathrm { x } \rightarrow \mathrm { r } = \mathrm { sf } / \mathrm { x } = \left( 10 ^ { - 2 } \mathrm {~m} \right) \left( 5 \times 10 ^ { - 3 } \mathrm {~m} \right) / \left( 10 ^ { - 4 } \mathrm {~m} \right) = 5 \mathrm { x }$ $10 ^ { - 1 } \mathrm {~m} = 0.5 \mathrm {~m} \text {. }$

Question 3

Your smartphone has an 8 Megapixel camera $\text { ( } 2 ^ { 23 } \text { pixels) }$ with each pixel containing red, green,and blue sensors.If each sensor produces 256 levels of intensity, how many bits are required to encode an image? $\text { (Express answer as } n . n \times 10 ^ { \gamma } \text { ) }$

Accepted Answer

256 levels are encoded with 8 bits, yielding $24 \text { bits/pixel. } 24 \times 2 ^ { 23 } = 2.4 \times 2 ^ { 24 } =$ $( 2.4 ) \left( 2 ^ { 4 } \right) \left( 2 ^ { 10 } \right) \left( 2 ^ { 10 } \right) = ( 2.4 ) ( 16 ) \left( 10 ^ { 3 } \right) \left( 10 ^ { 3 } \right) = 3.8 \times 10 ^ { 7 }$

Question 4

Finger swipe speed.Your smartphone square touch screen measures 10 cm x 10 cm and implements a 100 x 100 switch array.A horizontal finger swipe must activate at least 25 columns in any particular row within 0.5 seconds.What is the minimum speed (m/s) that your finger must travel to form a valid finger swipe?

Accepted Answer

The answer of Finger swipe speed.Your smartphone square touch screen...

Question 5

Your smartphone touch screen implements a $100 \times 100$ switch array.What is the minimum number of bits that defines the address of each switch assuming separate row and column addresses?

Accepted Answer

The answer of Your smartphone touch screen implements a \(100...

Question 6

An air sonar detects the echo TOF from an object to be 10 milliseconds.The object range equals ___ $( x . x x ) m$

Accepted Answer

The answer of An air sonar detects the echo TOF...

Question 7

Your audio system uses 24 bits to encode audio waveform samples.How many different levels can be encoded using the approximation $2 ^ { 10 } = 10 ^ { 3 }$

Accepted Answer

The answer of Your audio system uses 24 bits to...

Question 8

A scientific calculator has 5 rows and 9 columns.How many bits required for addressing assuming separate row and column addresses?

Accepted Answer

The answer of A scientific calculator has 5 rows and...

Question 9

An underwater sonar detects the echo from an object at 100m range.The TOF equals ___ ( x.xxs).

Accepted Answer

The answer of An underwater sonar detects the echo from...

Exam 2: Sensors and Actuators

A consumer TV with 4K resolution has a screen that contains 3840 by 2160 array of pixels.Each RGB LED can shine at 256 intensity levels.The number of bits required to display a complete image equals ______.?

Your smartphone touch screen implements a 100×100100 \times 100100×100 switch array.What is the minimum number of bits that defines the address of each switch assuming separate row and column addresses?

An air sonar detects the echo TOF from an object to be 10 milliseconds.The object range equals ___ (x.xx)m( x . x x ) m(x.xx)m

Your audio system uses 24 bits to encode audio waveform samples.How many different levels can be encoded using the approximation 210=1032 ^ { 10 } = 10 ^ { 3 }210=103

A scientific calculator has 5 rows and 9 columns.How many bits required for addressing assuming separate row and column addresses?

An underwater sonar detects the echo from an object at 100m range.The TOF equals ___ ( x.xxs).

Your smartphone touch screen implements a $100 \times 100$ switch array.What is the minimum number of bits that defines the address of each switch assuming separate row and column addresses?

An air sonar detects the echo TOF from an object to be 10 milliseconds.The object range equals ___ $( x . x x ) m$

Your audio system uses 24 bits to encode audio waveform samples.How many different levels can be encoded using the approximation $2 ^ { 10 } = 10 ^ { 3 }$