1#MCell 4.20
2#GAME Rules table
3#GOLLY WireWorld
4#RULE 1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,3,3,3,3,3,3,3,3,3,
5#RULE 0,3,1,1,3,3,3,3,3,3
6#BOARD 400x200
7#SPEED 20
8#WRAP 0
9#D 8-bit multiplier by Nick Gardner, Aug 2002.
10#D (see http://www.maa.org/editorial/mathgames/mathgames_05_24_04.html)
11#D
12#D C15 to C0 consist of 16 half-adders each made of an AND gate and an XOR gate.
13#D When set to one, a C-bit is represented by a looping electron.
14#D
15#D The bits of A7-A0 shift rightwards across the pattern.  The bits of B7-B0 arrive
16#D in procession to meet the A bits at the AND gates just below the half adders.
17#D If the B bit is one the A bits proceed up to the half adders, otherwise they
18#D are cancelled.
19#D
20#D An unset C-loop will be set if an A bit arrives.  A set C-loop will become unset
21#D and will throw a carry leftwards to the next C-loop.
22#D
23#D C-loops are 15 generations long.  The B-bits arrive 105 generations apart.
24#D This is the minimum to ensure carrying bits in the half-adders don't collide
25#D with the next presentation of A-bits.
26#D
27#D The product can usually be seen after about 1000 generations, but to get rid
28#D of all superfluous electrons run the pattern for exactly 1661 generations.
29#D
30#D The AND gate in the C15 loop isn't necessary but has been left in to preserve
31#D the flashing effect of the C-loops.
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