What is an equation to find the largest power of 2 less than or equal to integer n using basic operators, ie, +-*/^ logic gates mod rem?
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What is an equation to find the largest power of 2 less than or equal to integer n using basic operators, ie, +-*/^ logic gates mod rem?
Last edited by Blasz; 05-05-2011 at 03:02 AM.
Write out some numbers in binary.
Write out some powers of two less than that, in binary.
Notice anything?
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Yep, I'm having trouble making that into an equation though.
I also meant less than or equal to an integer n.
So basically its 2^(position of leftmost 1 in binary) but I don't know how to make that into an equation just using n and basic operators. This is for VHDL so any operators there are allowed.
Learn how to compute a binary logarithm, it will help.
You can shift left once each cycle, keep a counter, until you get a 1 on the MSB.
A single cycle circuit may be huge (I'm not sure).