Binary and hexadecimal expansion

  • Thread starter nicnicman
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  • #1
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Homework Statement


Show that the binary expansion of a positive integer can be obtained form its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.


Homework Equations





The Attempt at a Solution


I know that this is true but I have no idea how to show it. Any pointers?
 

Answers and Replies

  • #2
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If you have number given as ##a_n 16^n + a_{n-1} 16^{n-1} + ... + a_0##, can you express it as binary number? This expression is unique, so once you find some way to represent the number you are done.
 

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