+- Forums - Open Redstone Engineers (https://forum.openredstone.org)
+-- Forum: ORE General (https://forum.openredstone.org/forum-39.html)
+--- Forum: Build Discussion (https://forum.openredstone.org/forum-50.html)
+--- Thread: XOR HEX numbers without converting to binary? (/thread-2227.html)
XOR HEX numbers without converting to binary? - Killerbunny - 01-29-2014
I have been thinking about making a hexadecimal computer. And I decided I want all my calculations be done using just the two comperetor functions combined with some fast memory. It all seems to be possible, until I think about XOR.
Hexadecimal XOR lookup table
I want help spotting patterns that can either solve the operation, or that it is simplified in some way. I really don't want to convert to and from binary so some help would be appreciated.
RE: XOR HEX numbers without converting to binary? - Legofreak - 01-29-2014
I just stared at it for a while and I think I might have an idea.
Each quadrant is a mirrored inverse.
Looking at one quadrant I see the numbers are mirrored across the diagonal. In that top wedge at 0,0 the output numbers are either a sum or a difference. I can't quite see the pattern yet.
When the number are equal they cancel.
When paired with 0 the output has no change.
RE: XOR HEX numbers without converting to binary? - Killerbunny - 01-29-2014
Yeah the mirroring was clear to me, but take a look at the 7 lines they follow a pattern I have seen before