# Bitwise Logic Murder

Murderer out on the street!!

He is somewhere, but you now need to find him.

He has left 3 images on a computer, all of them are 16px by 16px blocks of colors

You remove the junk (all the # and the spaces) and get:

95a47a7893879cd56dd921f44926d9f8dd65beefe5d39eb55c44aaca8faf5c329549c09928fbf7e8

89a478788493d8f238976ba31f61cd888034fda6a4ecd19a5549bbdd8eb81232f10587c065afa1b8

Hint 1:

ASCII is used at some point, but I wol't tell you when

Hint 2: (don't look at this if you want to try to figure it out)

The title has an important clue.

Bonus:

There is a SECOND key that you can use, but can you figure it out?

Latitude: -68.41351, Longitude: 59.79581

which is

Antarctica.

Which you get by

xor with the second and last string interpreted as hex.

You also get

Pavica Bongani Andreas Andebert Quintana

but I guess we already have a location, so this might be irrelevant information.

• Correct. You have found the method I used! Oct 24, 2016 at 13:01

There are $2^{2^3}=256$ boolean functions on three variables. If we look at all of them (applied to the bits of the inputs interpreted as decimal and converted to ASCII), we get the following (each line is a separate function, and non-printing characters are represented by .):

".......................................   ~(x|y|z)
@A.. .. .. . ."..... @" D @ ..0(&....   ~x&~y&z
b[..hh#.. ...."."..... @..D [email protected]&....   ~(x|y)
......@ ..............A......... .......   ~x&y&~z
*.....C(..............A.........*.......   ~(x|z)
HA..dp . ..0.$.".....aJ#)T5@". 0.&.... y^z^(x&y)^(x&z) j[..lxc(. ....&.".....aJ..T5p@..*.>&.... ~x&~(y&z) ..........B..A....@.. ..........@..@D... ~x&y&z ".................@.. ..........J..@.... ~x&(~y|z)&(y|~z) @A.. ..&F.&I .".@.. @" E P .@4)fT... ~x&z b[..hh#..&....".".@.. @..E pP..J.9f.... ~x&(~y|z) ......@"..J..A....A..,A...........@E... ~x&y *.....C*..........A..,A.........j..@.... ~x&(y|~z) HA..dp".&N.6I$.".A..,aJ#)U5P".4/fU...   ~x&(y|z)
j[..lxc*.&....&.".A..,aJ..U5pP..j.?f....   ~x
........EH.@@..@[email protected]..@@..@F@   x&~y&~z
2........H.H...FL..Q[.............P..@FF   ~(y|z)
PA..c .Gh.@. [email protected]. A*$D"aBd..ph..@NA x^z^(x&y)^(y&z) r[..kh#..h.H.."Gn..Q[. A..D"qB....x..@NG ~(x&z)&~y ......@ [email protected]. @F..DFP x^y^(x&z)^(y&z) :.....C(.H.J...FL..Q[.A.........*.V..DFV ~(x&y)&~z XA..gp Wh.Bp.$AnP.AA.aK+-T7aBf. pn..DNQ   x^y^z^(x&y&z)
z[..oxc(.h.J..&Gn..Q[.aK..T7qB..*.~..DNW   ~((x&y)^(x&z)^(y&z))
........ENBAFA.@[email protected].@DAHD@F@   x^(x&y)^(x&z)^(y&z)
2........N.I...FL.BQ[3..........J.QH.@FF   ~(y^z^(x&y&z))
PA..c .GnFAfI An@BAA3 A*$E"aRd.@tinT@NA x^z^(x&y)^(x&y&z) r[..kh#..n.I.."Gn.BQ[3 A..E"qR..J.yn.@NG ~(y^(x&z)^(y&z)) ......@"UNJCVA.@LPCAA?A.......F.DGHEDFP x^y^(x&z)^(x&y&z) :.....C*.N.K...FL.CQ[?A.........j.WH.DFV ~(z^(x&y)^(y&z)) XA..gp"WnNCvI$AnPCAA?aK+-U7aRf.tonUDNQ   x^y^z^(y&z)
z[..oxc*.n.K..&Gn.CQ[?aK..U7qR..j..n.DNW   ~x|~(y|z)
...............0.......$................ x&~y&z &..............6.......$................   (~x|z)&(x|~z)&~y
DA..pd$.. .. .013......d" D E(..8(7.... ~y&z f[..xl'.. ....273......d..D pE....87.... (~x|z)&~y ......D%.......0......O.........$.......   y^(x&y)^(x&z)^(y&z)
......G-.......6......O.................   ~(x^z^(x&y&z))
LA..ttd%. ..0.413.....on#)T5E*.$8.7.... y^z^(x&y)^(x&y&z) n[..||g-. ....673.....on..T5pE....>7.... ~(x^(x&z)^(y&z)) ..........B..G.0..@.. .$........D..QL...   (x&z)^(y&z)
&..............6..@.. .$........N..Q.... ~(x^y^z^(x&y)^(x&y&z)) DA..pd$..&F.&O013.@.. .d" E U(.D<)w\...   z^(x&y&z)
f[..xl'..&....273.@.. .d..E pU..N.9w....   ~(x^y^(x&y)^(x&z)^(y&z))
......D'..J..G.0..A..,O.........d..QM...   (x&~y&z)|(~x&y)
......G/.......6..A..,O.........n..Q....   ~(x^z^(y&z))
LA..ttd'.&N.6O413.A..,on#)U5U*.d</w]...   (~x&y)|(~y&z)
n[..||g/.&....673.A..,on..U5pU..n.?w....   ~x|(~y&z)
[email protected]]A.IA..%[email protected]@   x&~y
6........H.\...v]..Y[..%..........P..PVF   (x|~z)&~y
TA..sd$.Gh.T.0q.A.IA..e*$D"aGl..xh?.P^A   (x|z)&~y
v[..{l'..h.\..2w...Y[..e..D"qG....x?.P^G   ~y
......D%UH.VP..p]Q.IA.O/......N.$HF..TVP x^y^(y&z)^(x&y&z) >.....G-.H.^...v]..Y[.O/..........V..TVV ~(z^(x&y)^(x&z)) \A..wtd%Wh.Vp.4q.Q.IA.oo+-T7aGn.$xn?.T^Q   x^y^z^(x&z)
~[...|g-.h.^..6w...Y[.oo..T7qG....~?.T^W   ~(x|z)|~y
........ENBUFG.p]ABIA3.%......L.DLAYLPV@   (x&~y)|(~x&y&z)
6........N.]...v].BY[3.%........N.QY.PVF   ~(y^z^(x&z))
TA..sd$.GnFUfO0q.ABIA3.e*$E"aWl.D|i.\P^A   (x&~y)|(~x&z)
v[..{l'..n.]..2w..BY[3.e..E"qW..N.y..P^G   (~x&z)|~y
......D'UNJWVG.p]QCIA?O/......N.dLGYMTVP   x^y
>.....G/.N._...v].CY[?O/........n.WY.TVV   (~x|~y)&(x|y|~z)
\A..wtd'WnNWvO4q.QCIA?oo+-U7aWn.d|o.]T^Q   (~x|~y)&(x|y|z)
~[...|g/.n._..6w..CY[?oo..U7qW..n....T^W   ~(x&y)
. ph...@(.! . ...$0$ @..D@ @. . .... !     x&y&~z
":.....H...(......04:@.... @. .......! &   (~x|y)&(x|~y)&~z
@atia @* % (( ."$0$ @ @fdd0 .1(&0!(!   z^(x&y)^(x&z)^(y&z)
b{..hi#H. .(..".".04:@ @..dt....8&.!('   ~(x^y^(x&y&z))
. ph..@8.)". ...41$LA.EI0U. . 1...!% 0 y&~z *:....Ch...*......14:LA...0U. ..;....% 6 (~x|y)&~z Hatidq: -"8($."41$LaJgitud2 11.&1%(1 y^z^(x&z)^(x&y&z) j{..lych. .*..&.".14:LaJ..tut..;.>&.%(7 ~(x^(x&y)^(y&z)) . ph...B(.c!.a...$p$..D@[email protected]. Q..@d! (x&y)^(y&z) ":.....J...)......p4:[email protected]..[..@.! & ~(x^y^z^(x&z)^(x&y&z)) @atia B*&g!.i ."$p$ @fedp0 Q5)ft!(! (x&y&~z)|(~x&z) b{..hi#J.&.)..".".p4: @..etp..[.9f.!(' ~(x^y^(y&z)) . [email protected]#.a...4q$ lA.EI1U.0. q..@e% 0   y^(x&y&z)
*:....Cj...+......q4:lA...1U.0..{..@.% 6   ~(x^z^(x&y)^(x&z)^(y&z))
Hatidqb:&o#>i$."4q$ laJgiuudp2 q5/fu%(1   y^z^(x&z)^(y&z)
j{..lycj.&.+..&.".q4:laJ..uutp..{.?f.%(7   ~x|(y&~z)
. rh...@mH!H [email protected] B."T .A@. af   x&~z
2:.....H.H.h...FL.2u{S.... B."....P..aff   (x|~y)&~z
Pavica @oh%h( And2eaS Anddbebt .qh.0ana   x^z^(y&z)^(x&y&z)
r{..ki#H.h.h.."Gn.2u{S A..dbub....x..ang   ~(y^(x&y)^(x&z))
. rh..@}H)bX .@Lt3ea_A.MM0W."V 1AF.!efp   (x|y)&~z
::....Ch.H.j...FL.3u{_A...0W."..;.V..efv   ~z
Xavigq.h-bx($Ant3ea_aKomtwebv 1qn.1enq x^y^z^(x&y) z{..oych.h.j..&Gn.3u{_aK..twub..;.~..enw ~(x|y)|~z . [email protected]!B.2T QEAHdaf (x&~z)|(~x&y&z) 2:.....J.N.i...FL.ru{s....!B.2..[.QH.aff ~(y^z^(x&y)) Pavica Bongani Andreas Andebert Quintana x^z r{..ki#J.n.i.."Gn.ru{s A..ebur..[.yn.ang (~x|~z)&(x|~y|z) . rh..@b}Nkc^[email protected] qEGHeefp (x&~z)|(~x&y) ::....Cj.N.k...FL.su{.A...1W.2..{.WH.efv (~x&y)|~z Xavigqb.noc~i$Antsea.aKomuwerv quonuenq   (~x|~z)&(x|y|z)
z{..oycj.n.k..&Gn.su{.aK..uwur..{..n.enw   ~(x&z)
. ph...E(.!4.&.0.%0, @.$D@ @.%. ....(10 (x&y)^(x&z) &:.....M...<...6..0<:@.$.. @.%.......10&   ~(x^y^z^(y&z)^(x&y&z))
Datipe$E* %4(.013%0, @.dfdde8 .9(7818! (x&y&~z)|(~y&z) f{..xm'M. .<..273.0<:@.d..dte....87.18' ~(x^y^(x&z)) . ph..De8.)6.&.0.51, LO.EI0U.%. 5...)500 (x&~y&z)|(y&~z) .:....Gm...>...6..1<:LO...0U.%..?....506 ~(x^z^(x&y)) Latitude: -68.41351, Longitude: 59.79581 y^z n{..|}gm. .>..673.1<:Lon..tute..?.>7.587 (~x|y|z)&(~y|~z) . ph...G(.c5.g.0.%p, .$D@[email protected]. U..Ql10    (x&y)^(x&z)^(y&z)^(x&y&z)
&:.....O...=...6..p<:[email protected].._..Q.10&   ~(x^y^z)
Datipe$G*&g5.o013%p, .dfedu8 U=)w|18! z^(x&y) f{..xm'O.&.=..273.p<:.d..etu.._.9w.18' ~(x^y^(x&z)^(y&z)^(x&y&z)) . ph..Dg8.k7.g.0.5q, lO.EI1U.5. u..Qm500 y^(x&z) .:....Go...?...6..q<:lO...1U.5.....Q.506 ~(x^z^(x&y)^(y&z)^(x&y&z)) Latitudg:&o7>o4135q, longiuudu: u=/w}581 y^z^(y&z)^(x&y&z) n{..|}go.&.?..673.q<:lon..uutu....?w.587 ~(x^(x&y)^(x&z)) . rh...EmH!tH&.p]e2maS.%LD B.'\ .I@.(qv x^(x&y&z) 6:.....M.H.|...v].2}{S.%.. B.'....P..qvf ~(y^z^(x&y)^(x&z)^(y&z)) Tavise$Eoh%th.0q.e2maS.enddbeg| .yh?8q~a   x^z^(x&z)^(y&z)
v{..{m'M.h.|..2w..2}{S.e..dbug....x?.q~g   (x&~z)|~y
. rh..De}H)vX&.p]u3ma_O/MM0W.'^ 5IF.)uvp   (x&~y)|(y&~z)
>:....Gm.H.~...v].3}{_O/..0W.'..?.V..uvv   (x&~y)|~z
\aviwude.h-vx.4q.u3ma_ooomtweg~ 5yn?9u~q   (x|y|z)&(~y|~z)
~{...}gm.h.~..6w..3}{_oo..twug..?.~?.u~w   ~(y&z)
. rh...GmNcuNg.p]ermas.%LD!B.7\ UMAYlqv   x^(y&z)
6:.....O.N.}...v].r}{s.%..!B.7.._.QY.qvf   ~(y^z^(x&y)^(x&z)^(x&y&z))
Tavise$Gonguno0q.ermas.endebew| U}i.|q~a x^z^(x&z)^(x&y&z) v{..{m'O.n.}..2w..r}{s.e..ebuw.._.y..q~g ~(y^(x&y)^(y&z)) . rh..Dg}Nkw^g.p]usma.O/MM1W.7^ uMGYmuvp x^y^(x&y)^(x&y&z) >:....Go.N.....v].s}{.O/..1W.7....WY.uvv ~(z^(x&z)^(y&z)) \aviwudg.now~o4q.usma.ooomuwew~ u}o.}u~q (~x|~y|~z)&(x|y|z) ~{...}go.n....6w..s}{.oo..uwuw.......u~w ~(x&y&z) ........................................ x&y&z ........................................ (x&y&z)|(~x&~y&~z) ............!...........2 .... ..0...... z^(x&z)^(y&z) ........................................ (x&y&z)|(~x&~y) ........................................ y^(x&y)^(y&z) ........................................ (x&y&z)|(~x&~z) ............1...........3)...."..0...... y^z^(x&y)^(x&z)^(x&y&z) ........................................ ~(x^(y&z)) ..........B..A......................D... y&z ........................................ (~x&~y&~z)|(y&z) ..........F.'I..........2 .... ..4..T... (~x|y)&z ........................................ (~x&~y)|(y&z) ..........J..A......................E... (~x|z)&y ........................................ (y&z)^(~x&~z) ..........N.7I..........3)...."..4..U... (~x&y)|(~x&z)|(y&z) ........................................ ~x|(y&z) [email protected]..@...... x^(x&y)^(x&z) ........................................ (x&y&z)|(~y&~z) ........G...a....@......:$....d..p......   x^z^(x&y)^(y&z)^(x&y&z)
........................................   ~(y^(x&z))
........U...Q....P............F..@......   x^y^(x&z)^(y&z)^(x&y&z)
........................................   ~(z^(x&y))
........W...q....P......;-....f..p......   x^y^z
........................................   ~((x&y)^(x&z)^(y&z)^(x&y&z))
[email protected]...   (x&~y&~z)|(y&z)
........................................   ~(y^z)
........G.F.gI...@......:$....d..t..T... x^z^(x&y) ........................................ (~x|y|~z)&(~y|z) ........U.J.WA...P............F..D..E... x^y^(x&z) ........................................ (~x|~y|z)&(y|~z) ........W.N.wI...P......;-....f..t..U... x^y^z^(y&z)^(x&y&z) ........................................ ~((x&y)^(x&z)) ........................................ x&z ........................................ (x&z)|(~x&~y&~z) ............!...........2 ....(..8...... (x|~y)&z ........................................ (x&z)|(~x&~y) ........................................ (x&z)|(~x&y&~z) ........................................ ~(x^z) ............1...........3)....*..8...... y^z^(x&y) ........................................ (~x|z)&(x|~y|~z) ..........B..G......................L... (x|y)&z ........................................ ~(x^y^z^(x&y)) ..........F.'O..........2 ....(..<..\... z ........................................ ~(x|y)|z ..........J..G......................M... (x&z)|(~x&y) ........................................ (~x|z)&(x|y|~z) ..........N.7O..........3)....*..<..]... (~x&y)|z ........................................ ~x|z ........E...A....A............L..H...... x&(~y|z) ........................................ (x&z)^(~y&~z) ........G...a....A......:$....l..x......   (x&~y)|(x&z)|(~y&z)
........................................   (x&z)|~y
........U...Q....Q............N..H......   x^y^(y&z)
........................................   (~x|~y|z)&(x|~z)
........W...q....Q......;-....n..x......   x^y^z^(x&z)^(x&y&z)
........................................   ~((x&y)^(y&z))
........E.B.GG...A............L..L..L...   (x&~y)|(y&z)
........................................   (x|y|~z)&(~y|z)
........G.F.gO...A......:$....l..|..\... (x&~y)|z ........................................ ~y|z ........U.J.WG...Q............N..L..M... x^y^(x&y&z) ........................................ (~x|~y|z)&(x|y|~z) ........W.N.wO...Q......;-....n..|..]... (x&~y)|(~x&y)|z ........................................ ~x|~y|z ..xx....(.!.. [email protected].... ... x&y ........................................ (x&y)|(~x&~y&~z) ..|y....*.%.)(...$......v....02.1..0...   (x&y)|(~x&~y&z)
........................................   ~(x^y)
..xx....8.).. ...4......UI.....2....!...   (x|~z)&y
........................................   (x&y)|(~x&~z)
..|y....:.-.9(...4......wi....22.1..1...   y^z^(x&z)
........................................   (~x|y)&(x|~y|~z)
..xx....([email protected]...   (x|z)&y
........................................   ~(x^y^z^(x&z))
..|y....*.g./i...\$......v....02.5..t...   (x&y)|(~x&z)
........................................   (~x|y)&(x|~y|z)
..xx....8.k..a...4......UI.....2....e...   y
........................................   ~(x|z)|y
..|y....:.o.?i...4......wi....22.5..u...   (~x&z)|y
........................................   ~x|y
..zx....m.!.I ...d......\D....T2.A.. ...   x&(y|~z)
........................................   (x&y)|(~y&~z)
..~y....o.%.i(...d......~d....t2.q..0...   x^z^(y&z)
........................................   (~x|y|~z)&(x|~y)
..zx....}.).Y ...t......]M....V2.A..!...   (x&y)|(x&~z)|(y&~z)
........................................   (x&y)|~z
..~y......-.y(...t.......m....v2.q..1...   x^y^z^(x&y)^(x&y&z)
........................................   ~((x&z)^(y&z))
..zx....m.c.Oa...d......\D....T2.E..d...   x^(x&z)^(y&z)
........................................   (x|~y|z)&(y|~z)
..~y....o.g.oi...d......~d....t2.u..t...   x^z^(x&y&z)
........................................   (~x|y|~z)&(x|~y|z)
..zx....}.k._a...t......]M....V2.E..e...   (x&~z)|y
........................................   y|~z
..~y......o..i...t.......m....v2.u..u...   (x&~z)|(~x&z)|y
........................................   ~x|y|~z
..xx....(.!..&...%[email protected]....(...   x&(y|z)
........................................   ~(x^y^z^(y&z))
..|y....*.%.)....%......v....82.9..8...   (x&y)|(~y&z)
........................................   (~x|y|z)&(x|~y)
..xx....8.)..&...5......UI.....2....)...   y^(x&z)^(y&z)
........................................   (~x|y|z)&(x|~z)
..|y....:.-.9....5......wi....:2.9..9...   y^z^(x&y&z)
........................................   (~x|y|z)&(x|~y|~z)
..xx....(.c..g...%[email protected]...   (x&y)|(x&z)|(y&z)
........................................   ~(x^y^z^(x&y&z))
..|y....*.g./o...%......v....82.=..|...   (x&y)|z
........................................   (x&y)|(~x&~y)|z
..xx....8.k..g...5......UI.....2....m...   (x&z)|y
........................................   (x&z)|(~x&~z)|y
..|y....:.o.?o...5......wi....:2.=..}...   y|z
........................................   ~x|y|z
..zx....m.!.I&...e......\D....\2.I..(...   x
........................................   x|~(y|z)
..~y....o.%.i....e......~d....|2.y..8...   x|(~y&z)
........................................   x|~y
..zx....}.).Y&...u......]M....^2.I..)...   x|(y&~z)
........................................   x|~z
..~y......-.y....u.......m....~2.y..9...   x|(y&~z)|(~y&z)
........................................   x|~y|~z
..zx....m.c.Og...e......\D....\2.M..l...   x|(y&z)
........................................   x|(y&z)|(~y&~z)
..~y....o.g.oo...e......~d....|2.}..|...   x|z
........................................   x|~y|z
..zx....}.k._g...u......]M....^2.M..m...   x|y
........................................   x|y|~z
..~y......o..o...u.......m....~2.}..}...   x|y|z

Quickly scanning through them, we see the lines:

Pavica Bongani Andreas Andebert Quintana

and

Latitude: -68.41351, Longitude: 59.79581

The latter of which is a point in Antarctica

• Another method which I did not even know existed! Oct 24, 2016 at 13:00