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math

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the binary system is used for computer programming. a binary number consists of a string of digits that are either 0s or 1s
a. if a string of binary code is 5 digits long, how many binary numbers are possible if the first digit is a 1?
b. how many different binary numbers can be represented by a string of binary code with 5 digits if the first digit is 1 and the last two digits are 0?

  • math - ,

    The maximum binary numbers ocur when
    all 5 digits are 1s: 1 1 1 1 1 base 2.


    a. 5 binary numbers are possible.


    b. 1 1 1 0 0 base 2.

    1*2^4, 1*2^3, and 1*2^2 =
    16, 8, and 4 = 3 binary numbers that can be represented.

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