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SOLUTIONS MANUAL
,1.1
Answering machine Model airplanes
Alarm clock MP3 player
Automatic door Musical greeting cards
Automatic lights Musical tuner
ATM Pagers
Automobile: Personal computer
Engine controller Personal planner/organizer (PDA)
Temperature control Radar detector
ABS Broadcast Radio (AM/FM/Shortwave)
Electronic dash Razor
Navigation system Satellite radio receiver
Automotive tune-up equipment Security systems
Baggage scanner Sewing machine
Bar code scanner Smoke detector
Battery charger Sprinkler system
Cable/DSL Modems and routers Stereo system
Calculator Amplifier
Camcorder CD/DVD player
Carbon monoxide detector Receiver
Cash register Tape player
CD and DVD players Stud sensor
Ceiling fan (remote) Talking toys
Cellular phones Telephone
Coffee maker Telescope controller
Compass Thermostats
Copy machine Toy robots
Cordless phone Traffic light controller
Depth finder TV receiver & remote control
Digital Camera Variable speed appliances
Digital watch Blender
Digital voice recorder Drill
Digital scale Mixer
Digital thermometer Food processor
Electronic dart board Fan
Electric guitar Vending machines
Electronic door bell Video game controllers
Electronic gas pump Wireless headphones & speakers
Elevator Wireless thermometer
Exercise machine Workstations
Fax machine
Fish finder Electromechanical Appliances*
Garage door opener Air conditioning and heating systems
GPS Clothes washer and dryer
Hearing aid Dish washer
Invisible dog fences Electrical timer
Laser pointer Iron, vacuum cleaner, toaster
LCD projector Oven, refrigerator, stove, etc.
Light dimmer
Keyboard synthesizer *These appliances are historically based only upon
Keyless entry system on-off (bang-bang) control. However, many of the
Laboratory instruments high end versions of these appliances have now
Metal detector added sophisticated electronic control.
Microwave oven
1-1 ©R. C. Jaeger & T. N. Blalock
6/9/06
,1.2
B = 19.97 x 100.1997(2020−1960) = 14.5 x 1012 = 14.5 Tb/chip
1.3
(a)
0.1977(Y2 −1960)
B2 19.97x10 0.1977(Y2 −Y1 ) 0.1977(Y2 −Y1 )
= 0.1977(Y1 −1960)
= 10 so 2 = 10
B1 19.97x10
log2
Y2 − Y1 = = 1.52 years
0.1977
log10
(b) Y2 − Y1 = = 5.06 years
0.1977
1.4
0.1548(2020−1970)
N = 1610x10 = 8.85 x 1010 transistors/µP
1.5
(2 )
0.1548 Y −1970
N 2 1610x10 0.1548(Y2 −Y1 )
= 0.1548(Y1 −1970)
= 10
N1 1610x10
log2
(a) Y2 − Y1 = = 1.95 years
0.1548
log10
(b) Y2 − Y1 = = 6.46 years
0.1548
−0.05806(2020−1970)
1.6 F = 8.00x10 µm = 10 nm .
No, this distance corresponds to the diameter of only a few atoms. Also, the wavelength of the
radiation needed to expose such patterns during fabrication is represents a serious problem.
1.7
From Fig. 1.4, there are approximately 600 million transistors on a complex Pentium IV
microprocessor in 2004. From Prob. 1.4, the number of transistors/µP will be 8.85 x 1010. in
2020. Thus there will be the equivalent of 8.85x1010/6x108 = 148 Pentium IV processors.
1-2 ©R. C. Jaeger & T. N. Blalock
6/9/06
, 1.8
( )
P = 75x106 tubes (1.5W tube)= 113 MW! I=
1.13 x 108W
220V
= 511 kA!
1.9 D, D, A, A, D, A, A, D, A, D, A
1.10
10.24V 10.24V 10.24V
VLSB = 12
= = 2.500 mV VMSB = = 5.120V
2 bits 4096bits 2
1001001001102 = 211 + 28 + 25 + 22 + 2 = 234210 VO = 2342(2.500mV )= 5.855 V
1.11
5V 5V mV 2.77V
VLSB = 8
= = 19.53 and = 142 LSB
2 bits 256bits bit mV
19.53
bit
14210 = (128 + 8 + 4 + 2) = 100011102
10
1.12
2.5V 2.5V mV
VLSB = 10
= = 2.44
2 bits 1024 bits bit
⎛ 2.5V ⎞
(
01011011012 = 28 + 26 + 25 + 23 + 22 + 20 )
10
= 36510 VO = 365 ⎜ ⎟ = 0.891 V
⎝ 1024 ⎠
1.13
VLSB =
10V
14
2 bits
= 0.6104
mV
bit
and
6.83V 14
10V
( )
2 bits = 11191 bits
1119110 = (8192 + 2048 + 512 + 256 + 128 + 32 + 16 + 4 + 2 + 1)
10
1119110 = 101011101101112
1.14
A 4 digit readout ranges from 0000 to 9999 and has a resolution of 1 part in 10,000. The
number of bits must satisfy 2B ≥ 10,000 where B is the number of bits. Here B = 14 bits.
1.15
and VO = (1011101110112 )VLSB ± LSB
5.12V 5.12V mV V
VLSB = 12
= = 1.25
2 bits 4096 bits bit 2
( 8 7 5 4 3
)
VO = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 1 1.25mV ± 0.0625V
11 9
10
VO = 3.754 ± 0.000625 or 3.753V ≤ VO ≤ 3.755V
1-3
6/9/06
SOLUTIONS MANUAL
,1.1
Answering machine Model airplanes
Alarm clock MP3 player
Automatic door Musical greeting cards
Automatic lights Musical tuner
ATM Pagers
Automobile: Personal computer
Engine controller Personal planner/organizer (PDA)
Temperature control Radar detector
ABS Broadcast Radio (AM/FM/Shortwave)
Electronic dash Razor
Navigation system Satellite radio receiver
Automotive tune-up equipment Security systems
Baggage scanner Sewing machine
Bar code scanner Smoke detector
Battery charger Sprinkler system
Cable/DSL Modems and routers Stereo system
Calculator Amplifier
Camcorder CD/DVD player
Carbon monoxide detector Receiver
Cash register Tape player
CD and DVD players Stud sensor
Ceiling fan (remote) Talking toys
Cellular phones Telephone
Coffee maker Telescope controller
Compass Thermostats
Copy machine Toy robots
Cordless phone Traffic light controller
Depth finder TV receiver & remote control
Digital Camera Variable speed appliances
Digital watch Blender
Digital voice recorder Drill
Digital scale Mixer
Digital thermometer Food processor
Electronic dart board Fan
Electric guitar Vending machines
Electronic door bell Video game controllers
Electronic gas pump Wireless headphones & speakers
Elevator Wireless thermometer
Exercise machine Workstations
Fax machine
Fish finder Electromechanical Appliances*
Garage door opener Air conditioning and heating systems
GPS Clothes washer and dryer
Hearing aid Dish washer
Invisible dog fences Electrical timer
Laser pointer Iron, vacuum cleaner, toaster
LCD projector Oven, refrigerator, stove, etc.
Light dimmer
Keyboard synthesizer *These appliances are historically based only upon
Keyless entry system on-off (bang-bang) control. However, many of the
Laboratory instruments high end versions of these appliances have now
Metal detector added sophisticated electronic control.
Microwave oven
1-1 ©R. C. Jaeger & T. N. Blalock
6/9/06
,1.2
B = 19.97 x 100.1997(2020−1960) = 14.5 x 1012 = 14.5 Tb/chip
1.3
(a)
0.1977(Y2 −1960)
B2 19.97x10 0.1977(Y2 −Y1 ) 0.1977(Y2 −Y1 )
= 0.1977(Y1 −1960)
= 10 so 2 = 10
B1 19.97x10
log2
Y2 − Y1 = = 1.52 years
0.1977
log10
(b) Y2 − Y1 = = 5.06 years
0.1977
1.4
0.1548(2020−1970)
N = 1610x10 = 8.85 x 1010 transistors/µP
1.5
(2 )
0.1548 Y −1970
N 2 1610x10 0.1548(Y2 −Y1 )
= 0.1548(Y1 −1970)
= 10
N1 1610x10
log2
(a) Y2 − Y1 = = 1.95 years
0.1548
log10
(b) Y2 − Y1 = = 6.46 years
0.1548
−0.05806(2020−1970)
1.6 F = 8.00x10 µm = 10 nm .
No, this distance corresponds to the diameter of only a few atoms. Also, the wavelength of the
radiation needed to expose such patterns during fabrication is represents a serious problem.
1.7
From Fig. 1.4, there are approximately 600 million transistors on a complex Pentium IV
microprocessor in 2004. From Prob. 1.4, the number of transistors/µP will be 8.85 x 1010. in
2020. Thus there will be the equivalent of 8.85x1010/6x108 = 148 Pentium IV processors.
1-2 ©R. C. Jaeger & T. N. Blalock
6/9/06
, 1.8
( )
P = 75x106 tubes (1.5W tube)= 113 MW! I=
1.13 x 108W
220V
= 511 kA!
1.9 D, D, A, A, D, A, A, D, A, D, A
1.10
10.24V 10.24V 10.24V
VLSB = 12
= = 2.500 mV VMSB = = 5.120V
2 bits 4096bits 2
1001001001102 = 211 + 28 + 25 + 22 + 2 = 234210 VO = 2342(2.500mV )= 5.855 V
1.11
5V 5V mV 2.77V
VLSB = 8
= = 19.53 and = 142 LSB
2 bits 256bits bit mV
19.53
bit
14210 = (128 + 8 + 4 + 2) = 100011102
10
1.12
2.5V 2.5V mV
VLSB = 10
= = 2.44
2 bits 1024 bits bit
⎛ 2.5V ⎞
(
01011011012 = 28 + 26 + 25 + 23 + 22 + 20 )
10
= 36510 VO = 365 ⎜ ⎟ = 0.891 V
⎝ 1024 ⎠
1.13
VLSB =
10V
14
2 bits
= 0.6104
mV
bit
and
6.83V 14
10V
( )
2 bits = 11191 bits
1119110 = (8192 + 2048 + 512 + 256 + 128 + 32 + 16 + 4 + 2 + 1)
10
1119110 = 101011101101112
1.14
A 4 digit readout ranges from 0000 to 9999 and has a resolution of 1 part in 10,000. The
number of bits must satisfy 2B ≥ 10,000 where B is the number of bits. Here B = 14 bits.
1.15
and VO = (1011101110112 )VLSB ± LSB
5.12V 5.12V mV V
VLSB = 12
= = 1.25
2 bits 4096 bits bit 2
( 8 7 5 4 3
)
VO = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 1 1.25mV ± 0.0625V
11 9
10
VO = 3.754 ± 0.000625 or 3.753V ≤ VO ≤ 3.755V
1-3
6/9/06
