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Math Help - base-two numbers

  1. #1
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    base-two numbers

    How many base-two numbers are 4 digits long? Explain how you know
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  2. #2
    MHF Contributor
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    In order for a base two number to be four digits long, the first digit should be a one, and then each of the other three digits can be a one or a zero. This gives you 2 x 2 x 2 = 8 numbers.
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  3. #3
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    Im still not sure I follow. I do not have alot of math experience. or much knowledge of base numbers.
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  4. #4
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    Quote Originally Posted by nancymcwilliams View Post
    Im still not sure I follow. I do not have alot of math experience. or much knowledge of base numbers.
    Nancy,

    Go here:

    Decimal-Binary-Octal-Hexadecimal Conversions

    Enter any positive integer, try 8. Click the button to convert from decimal to binary. You will see our answer is 1000. Base 2 is also referred to as binary. See the math on the chalkboard for why that is. From the comment above, we'd have:

    1000 = 8
    1001 = 9
    1011 = 11
    1111 = 15
    1010 = 10
    1110 = 14
    1100 = 12
    1101 = 13

    Take a look at the math to see how we get that.
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