Tuesday, August 9, 2011

Bits n Bytes

  1. What is a Digit?A digit is a single place that can hold numerical values between 0 and 9. Digits are normally combined together in groups to create larger numbers.

  2. What are “normal” counting numbers used in everyday life a based on what sequence of numbers?

  3. Where does the word bit originate from?The word bit is a shortening of the words "Binary digIT."

  4. Binary numbers don’t use base 10. What base do they use? What digits are available in base 2?The reason computers use the base-2 system is because it makes it a lot easier to implement them with current electronic technology. You could wire up and build computers that operate in base-10, but they would be fiendishly expensive right now. On the other hand, base-2 computers are relatively cheap.

    1. Examine the tables below. 

  5. Base 10





    Place Value
    10 000
    1 000
    100
    10
    1
    Place Value
    104
    103
    102
    101
    100
    Digit
    9
    0
    3
    0
    2
    Digit Value
    90 000
    0
    300
    0
    2
    90 302 (base 10) = (9 x 10000) + (3 x 100) + (2 x 1)

    If  6,357 can be written as;

    (6 * 1000) + (3 * 100) + (5 * 10) + (7 * 1) = 6000 + 300 + 50 + 7


    Ø  How would you write 4,321
     (4 * 1000) + (3 * 100) + (2* 10) + 1( *1) = 4000+300+20+1

    1. Examine the table below

    Base 2





    Place Value
    16
    8
    4
    2
    1
    Place Value
    24
    23
    22
    21
    20
    Digit
    1
    0
    1
    0
    0
    Digit Value
    16
    0
    4
    0
    0

    10100 (base 2) = (1 x 16) + (1 x 4) = 20 (base 10)



    Ø  Write the following numbers in binary (base 2)

    21
    24
    30

    1. What is a byte?Bytes are a bundle of bits into a 8-bit collection.

    2. How many bytes in a kilo, mega, giga and tera bytes.












      Name

      Abbr.

      Size

      Kilo

      K

      2^10 = 1,024

      Mega

      M

      2^20 = 1,048,576

      Giga

      G

      2^30 = 1,073,741,824

      Tera

      T

      2^40 = 1,099,511,627,776

      Peta

      P

      2^50 = 1,125,899,906,842,624

      Exa

      E

      2^60 = 1,152,921,504,606,846,976

      Zetta

      Z

      2^70 = 1,180,591,620,717,411,303,424

      Yotta

      Y

      2^80 = 1,208,925,819,614,629,174,706,176

    3. Complete the following conversions;

    1000 Mb =   1 Gb
    500 Gb = 5000 Mb
    5000 Kb = 5 Mb

Posted by at

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)