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Binary Review

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LETS REVIEW THE BINARY SYSTEM Binary symbols (O / I) represent electrical impulses. SendsElectricity Receives

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BITS & BYTES The symbols O and I are considered a bit. 8 bits = 1 byte

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LOOK AT THE KEYBOARD Notice the different keys. How many keys are there? What about function keys? Upper case/ lower case.

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HOW MANY BITS? Using only O & I how many are needed to represent ever key? Lets try a combination of 2: OO OI II IO OK, four keys can be represented.

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Lets try a combination of 3: OOO OOI OIO IOO III IIO IOI OII OK, not enough with three. How many bits are needed?

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We need a total of eight (8) symbols or bits to represent every key on the keyboard. 8 Bits = 1 Byte

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ASCii Code The ASCii code assigns a numerical code to each letter. Here is an example: A = 65 B = 66 C = 67

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Binary Code How do the numbers from the ASCii code translate to Binary? Lets go back to kindergarten……

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Lets analyze the number … 5281 What 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.

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100010010 1 5 28 1 Calculate: 5 x 1000 = 5000 2 x 100 = 200 8 x 10 = 80 1 x 1 = 1

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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.

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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

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Convert to Binary to Alpha/Numeric 00101001 2 symbol eight place value. Add all the 1s: 32 8 1 41 1286432168421STEP 1 STEP 2

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Convert to Binary to Alpha/Numeric STEP 3 Translator (ASCii) # 41 = )

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Decimal to Binary Lets translate the #50 to binary code: 1286432168421 0 0 1 10010 50 -32 -16 - 2 ___ 0

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Convert Alpha/Numeric to Binary Now lets 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.

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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

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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 464 16 8 2 = 90 Z = 90 =

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Computer Number Systems This presentation will show conversions between binary, decimal, and hexadecimal numbers.

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