P1
To work out this code to 8bit binary you have to go according
to the table and get each number and letter and convert it into to decimal
first and then binary
ABC0111:
B=11=00001011
C=12=00001100
0=0=000000000
1=1=00000001
1=1=00000001
1=1=00000001
Height (metres)
|
Temperature (Celsius)
|
Atmospheric Pressure (kPa)
|
100
|
15
|
100.15
|
6000
|
-38
|
48.21
|
Converted in 16bit binary
Height
(metres)
|
|
|||||||||||||||
|
32768
|
16384
|
8192
|
4096
|
2048
|
1024
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
100
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
6000
|
0
|
0
|
0
|
1
|
0
|
1
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
0
|
0
|
0
|
Temperature
(Celsius)
|
|
|||||||||||||||
|
32768
|
16384
|
8192
|
4096
|
2048
|
1024
|
512
|
256
|
128
|
64
|
32
|
16
|
8
|
4
|
2
|
1
|
15
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
1
|
1
|
1
|
-38
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
0
|
Flip Bits
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
0
|
1
|
+1 to the significant bit
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
1
|
0
|
1
|
1
|
0
|
1
|
0
|
Therefore
|
-32768
|
+16384
|
+8192
|
+4096
|
+2048
|
+1024
|
+512
|
+256
|
+128
|
+64
|
0
|
+16
|
+8
|
0
|
+2
|
0
|
Atmospheric Pressure
(kPa)
|
|
|||||||||||||||
|
Sign
|
Mantissa
|
Exponent
|
|||||||||||||
100.15
|
0
|
0
|
0
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
1
|
1
|
1
|
1
|
1
|
48.21
|
0
|
1
|
1
|
0
|
0
|
1
|
0
|
0
|
0
|
1
|
1
|
0
|
1
|
1
|
1
|
0
|
+5
|
-5
|
The Joystick is connected to potentiometers.
Each potentiometer is used to record for left and right and forward and
backwards movements. When the controller makes a movement the potentiometer
sends the details of the Y and X coordinates to the CPU and the required
movement is achieved.
0000
0000 1111 1111 0000 0000
A digital camera has a
light-sensing grid called CMOS which can record light as binary data that
presents the brightness and the colour frequencies. It records the data for
millions of individual points called pixels which can be put together to
recreate the original image. This is the same technology used in almost all
computer images.
To send a picture to a friend by
email to do this you need the image to be converted in the language that the
computer recognizes bits and bytes.
A microphone works a bit like your eardrum: That electricity
is the sound, but instead of waves in air it's sent as waves in electrical
voltage. Sound recording equipment then transfers the microphone's
electrical signal to some kind of storage, like tape, or it might be converted
into digital data that you can store to a computer. It has to convert it into
binary so the computer can communicate.
M1
A computer can only communicate with values of 1's and 0's.
The 1's and 0's pair to form a byte with 8 bits, a word which is 16 bits or a
double word which has 32 bits. Eg: A value to 10 in a computer is really 1010.
Since integer values are only whole number you must use a floating point
representation of a real or fractional number. A floating point number can have
different formats. The one that Allen-Bradley uses is IEEE-754. Which uses 32
bits and is considered single precision floating point. This format has a sign
bit, 8 exponent bits and 23 fractional bits or mantissa.
Floating point representation of a real number 10 would be:
10 = 0 10000010 0100000 0000000000000000
S = Sign Bit
E = Exponent M
= Mantissa
S= it
indicates the of the number. Example if the sign bit is 1 then the number is
negative
Mantissa=
the decimal
part of common logarithm
Exponent=
The
exponent of a number shows you how many times the number is to be used in a
multiplication.
It is written as a small number to the right and above the
base number.
In this example: 82 = 8 × 8 = 64
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