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Binary Review

Binary Review. LET’S REVIEW THE BINARY SYSTEM. Receives. Sends. Electricity. Binary symbols (O / I) represent electrical impulses. 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?

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Binary Review

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  1. Binary Review

  2. LET’S REVIEW THE BINARY SYSTEM Receives Sends Electricity Binary symbols (O / I) represent electrical impulses.

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

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

  5. 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.

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

  7. 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

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

  9. Binary Code How do the numbers from the ASCiicode translate to Binary? Let’s go back to kindergarten……

  10. Let’s 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.

  11. 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

  12. 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.

  13. Binary Math Steps 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.

  14. 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 1 41 128 64 32 16 8 4 2 1 STEP 1 STEP 2

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

  16. 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

  17. 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 ASCiinumber. STEP 4: Check it! Add up all place values containing I. The number should equal your ASCii number.

  18. 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

  19. Decimal to Binary Practice Z = 90 = STEP 2 128 64 32 16 8 4 2 1 0 1 0 1 1 0 1 0 STEP 3 STEP 4 64 16 8 2 = 90

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