using c++ to come up with hex XOR

Magic :^) · (This post was last modified: 03-15-2016, 04:26 AM by Magic :^).)

narrowed down comparator XOR to 6 unique operations
http://pbin.in/haxTheHax

here's the output now:

Code:
Testing 0000 ^ 0000...

add

sub

subiB-1

Testing 0001 ^ 0000...

add

sub

Testing 0010 ^ 0000...

add

sub

Testing 0011 ^ 0000...

add

sub

Testing 0100 ^ 0000...

add

sub

Testing 0101 ^ 0000...

add

sub

Testing 0110 ^ 0000...

add

sub

Testing 0111 ^ 0000...

add

sub

!(add+1)

Testing 1000 ^ 0000...

add

sub

!(sub-1)

Testing 1001 ^ 0000...

add

sub

Testing 1010 ^ 0000...

add

sub

Testing 1011 ^ 0000...

add

sub

Testing 1100 ^ 0000...

add

sub

Testing 1101 ^ 0000...

add

sub

Testing 1110 ^ 0000...

add

sub

Testing 1111 ^ 0000...

add

sub

!subiB

Testing 0001 ^ 0001...

sub

subiB-1

Testing 0010 ^ 0001...

add

Testing 0011 ^ 0001...

sub

Testing 0100 ^ 0001...

add

Testing 0101 ^ 0001...

sub

Testing 0110 ^ 0001...

add

!(add+1)

Testing 0111 ^ 0001...

sub

!(add+1)

Testing 1000 ^ 0001...

add

!(sub-1)

Testing 1001 ^ 0001...

sub

!(sub-1)

Testing 1010 ^ 0001...

add

Testing 1011 ^ 0001...

sub

Testing 1100 ^ 0001...

add

Testing 1101 ^ 0001...

sub

Testing 1110 ^ 0001...

add

!subiB

Testing 1111 ^ 0001...

sub

!subiB

Testing 0010 ^ 0010...

sub

subiB-1

Testing 0011 ^ 0010...

sub

Testing 0100 ^ 0010...

add

Testing 0101 ^ 0010...

add

!(add+1)

Testing 0110 ^ 0010...

sub

Testing 0111 ^ 0010...

sub

!(add+1)

Testing 1000 ^ 0010...

add

!(sub-1)

Testing 1001 ^ 0010...

add

Testing 1010 ^ 0010...

sub

!(sub-1)

Testing 1011 ^ 0010...

sub

Testing 1100 ^ 0010...

add

Testing 1101 ^ 0010...

add

!subiB

Testing 1110 ^ 0010...

sub

Testing 1111 ^ 0010...

sub

!subiB

Testing 0011 ^ 0011...

sub

subiB-1

Testing 0100 ^ 0011...

add

!(add+1)

Testing 0101 ^ 0011...

!(add+1)

Testing 0110 ^ 0011...

!(add+1)

Testing 0111 ^ 0011...

sub

!(add+1)

Testing 1000 ^ 0011...

add

!(sub-1)

Testing 1001 ^ 0011...

!(sub-1)

Testing 1010 ^ 0011...

!(sub-1)

Testing 1011 ^ 0011...

sub

!(sub-1)

Testing 1100 ^ 0011...

add

!subiB

Testing 1101 ^ 0011...

!subiB

Testing 1110 ^ 0011...

!subiB

Testing 1111 ^ 0011...

sub

!subiB

Testing 0100 ^ 0100...

sub

subiB-1

Testing 0101 ^ 0100...

sub

Testing 0110 ^ 0100...

sub

Testing 0111 ^ 0100...

sub

!(add+1)

Testing 1000 ^ 0100...

add

!(sub-1)

Testing 1001 ^ 0100...

add

Testing 1010 ^ 0100...

add

Testing 1011 ^ 0100...

add

!subiB

Testing 1100 ^ 0100...

sub

!(sub-1)

Testing 1101 ^ 0100...

sub

Testing 1110 ^ 0100...

sub

Testing 1111 ^ 0100...

sub

!subiB

Testing 0101 ^ 0101...

sub

subiB-1

Testing 0110 ^ 0101...

!(add+1)

Testing 0111 ^ 0101...

sub

!(add+1)

Testing 1000 ^ 0101...

add

!(sub-1)

Testing 1001 ^ 0101...

!(sub-1)

Testing 1010 ^ 0101...

add

!subiB

Testing 1011 ^ 0101...

!subiB

Testing 1100 ^ 0101...

!(sub-1)

Testing 1101 ^ 0101...

sub

!(sub-1)

Testing 1110 ^ 0101...

!subiB

Testing 1111 ^ 0101...

sub

!subiB

Testing 0110 ^ 0110...

sub

subiB-1

Testing 0111 ^ 0110...

sub

!(add+1)

Testing 1000 ^ 0110...

add

!(sub-1)

Testing 1001 ^ 0110...

add

!subiB

Testing 1010 ^ 0110...

!(sub-1)

Testing 1011 ^ 0110...

!subiB

Testing 1100 ^ 0110...

!(sub-1)

Testing 1101 ^ 0110...

!subiB

Testing 1110 ^ 0110...

sub

!(sub-1)

Testing 1111 ^ 0110...

sub

!subiB

Testing 0111 ^ 0111...

sub

!(add+1)

subiB-1

Testing 1000 ^ 0111...

add

!subiB

!(sub-1)

Testing 1001 ^ 0111...

!subiB

!(sub-1)

Testing 1010 ^ 0111...

!subiB

!(sub-1)

Testing 1011 ^ 0111...

!subiB

!(sub-1)

Testing 1100 ^ 0111...

!subiB

!(sub-1)

Testing 1101 ^ 0111...

!subiB

!(sub-1)

Testing 1110 ^ 0111...

!subiB

!(sub-1)

Testing 1111 ^ 0111...

sub

!subiB

!(sub-1)

Testing 1000 ^ 1000...

sub

!(add+1)

subiB-1

Testing 1001 ^ 1000...

sub

subiB-1

Testing 1010 ^ 1000...

sub

subiB-1

Testing 1011 ^ 1000...

sub

subiB-1

Testing 1100 ^ 1000...

sub

subiB-1

Testing 1101 ^ 1000...

sub

subiB-1

Testing 1110 ^ 1000...

sub

subiB-1

Testing 1111 ^ 1000...

sub

!subiB

subiB-1

Testing 1001 ^ 1001...

sub

!(add+1)

Testing 1010 ^ 1001...

subiB-1

Testing 1011 ^ 1001...

sub

Testing 1100 ^ 1001...

subiB-1

Testing 1101 ^ 1001...

sub

Testing 1110 ^ 1001...

!subiB

subiB-1

Testing 1111 ^ 1001...

sub

!subiB

Testing 1010 ^ 1010...

sub

!(add+1)

Testing 1011 ^ 1010...

sub

Testing 1100 ^ 1010...

subiB-1

Testing 1101 ^ 1010...

!subiB

subiB-1

Testing 1110 ^ 1010...

sub

Testing 1111 ^ 1010...

sub

!subiB

Testing 1011 ^ 1011...

sub

!(add+1)

Testing 1100 ^ 1011...

!subiB

subiB-1

Testing 1101 ^ 1011...

!subiB

Testing 1110 ^ 1011...

!subiB

Testing 1111 ^ 1011...

sub

!subiB

Testing 1100 ^ 1100...

sub

!(add+1)

Testing 1101 ^ 1100...

sub

Testing 1110 ^ 1100...

sub

Testing 1111 ^ 1100...

sub

!subiB

Testing 1101 ^ 1101...

sub

!(add+1)

Testing 1110 ^ 1101...

!subiB

Testing 1111 ^ 1101...

sub

!subiB

Testing 1110 ^ 1110...

sub

!(add+1)

Testing 1111 ^ 1110...

sub

!subiB

Testing 1111 ^ 1111...

sub

!subiB

!(add+1)

Necessary operations:

add

sub

!subiB

!(add+1)

!(sub-1)

subiB-1

add is shorthand for A+B
sub is shorthand for A-B
subiB is shorthand for A-!B

Also everything works under the assumption that A>=B atm. Maybe I'll rework it later so that the order doesn't matter.

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