1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Discrete Math - Counting Theory

  1. Jul 25, 2004 #1
    Hexadecimal numbers are made using the sixteen digits 0 - 9, A-F. how many hexadecimal numbers are there between the hexadecimal numbers 30 and AF?

    There are 8 numbers between 3 and A, so I got 3 x 16, but I don't really know.
     
  2. jcsd
  3. Jul 25, 2004 #2
    Try converting AF to a base 10 number.

    How many numbers are between 30 and this number?
     
  4. Jul 25, 2004 #3
    30 = 48
    AF = 175

    126 numbers between

    However, the example in the book is 50 and FF and the solution is, 5 and F is 11 numbers away. There are 16 hexadecimal numbers, so there are 11 x 16 hexadecimal numbers.
    50 = 80
    FF = 255
    That comes out to be 174 numbers. That's not 11 x 16.
     
  5. Jul 25, 2004 #4
    176 includes 50 and FF. 174 excludes 50 and FF.
    128 inculdes 30 and AF. 126 excludes 30 and AF. (In your original post you said 3x16, I think you meant 8x16. Also, thanks for catching my mistake, I forgot that 30 was also a hexidecimal number.)
     
    Last edited: Jul 25, 2004
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Discrete Math - Counting Theory
  1. Discrete Math HW Check (Replies: 1)

Loading...