binary review. lets review the binary system binary symbols (o / i) represent electrical impulses....
TRANSCRIPT
Binary Review
LET’S REVIEW THE BINARY SYSTEM
Binary symbols (O / I) represent electrical impulses.
Sends Electricity Receives
BITS & BYTES
The symbols O and I are considered a “bit”.
8 bits = 1 byte
LOOK AT THE KEYBOARD
• Notice the different keys.
• How many keys are there?
• What about function keys?
• Upper case/ lower case.
HOW MANY BITS?
Using only O & I how many are needed to represent ever key?
Let’s try a combination of 2:
OO
OI
II
IO
OK, four keys can be represented.
Let’s try a combination of 3:
OOO
OOI
OIO
IOO
III
IIO
IOI
OIIOK, not enough with three.
How many bits are needed?
How many bits are needed?
We need a total of eight (8) symbols or bits to represent every key on the keyboard.
8 Bits = 1 Byte
ASCii Code
The ASCii code assigns a numerical code to each letter. Here is an example:
A = 65 B = 66C = 67
Binary Code
How do the numbers from the ASCii code translate to Binary?
Let’s go back to kindergarten……
Let’s analyze the number …
5281What does this number mean?
The 1 has a place value.The 8 has a place value.The 2 has a place value.The 5 has a place value.
1000 100 10 1
5 2 8 1
Calculate:
5 x 1000 = 5000
2 x 100 = 200
8 x 10 = 80
1 x 1 = 1
Binary
This technique is also used in binary system.
In the decimal system we use 10 symbols to represent each number.
The binary system is based on 2 (O / I).
Any number can be represented by a series of O/I.
Convert Binary to Alpha/Numeric –
STEP 1: Set up place values.
STEP 2: Add up all place values containing I.
STEP 3: Look up translator (ASCii) number on table to identify key value pressed.
Binary Math Steps
Convert to Binary to Alpha/Numeric
0 0 1 0 1 0 0 1
2 symbol eight place value.Add all the 1s: 32
8 141
128 64 32 16 8 4 2 1 STEP 1
STEP 2
Convert to Binary to Alpha/Numeric
STEP 3
Translator (ASCii) # 41 = )
Decimal to Binary
Let’s translate the #50 to binary code:
128 64 32 16 8 4 2 1
0 0 1 1 0 0 1 0
50- 32- 16- 2
___
0
Convert Alpha/Numeric to Binary
Now let’s try to other way….
STEP 1: Get translator number by looking up key value on ASCii chart.
STEP 2: Set up place values.
STEP 3: Starting on left with place value 128, place an I in every
Value that will divide into the ASCii number.
STEP 4: Check it! Add up all place values containing I. The number
should equal your ASCii number.
Decimal to Binary Practice
Convert the following key to binary:
Z = AACii (Translator) #
90
Trick: Even #’s end in O and odd #’s end in I.
STEP 1
128 64 32 16 8 4 2 1
STEP 2
Decimal to Binary Practice
STEP 3
0 1 0 1 1 0 1 0
STEP 4 6416 8 2= 90
Z = 90 =