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GAP^[1] is a CAS software ^[2]. To run :

/usr/share/gap/bin/gap.sh

Load package fr by Laurent Bartholdi ^[3]

gap>LoadPackage("fr");
gap>Draw(BinaryAddingMachine,"b.dot");

Saves output to b.dot files :

digraph "BinaryAddingMachine" {
a [shape=circle]
b [shape=circle]
 a -> a [label="1/1",color=red];
 a -> a [label="2/2",color=blue];
 b -> a [label="1/2",color=red];
 b -> b [label="2/1",color=blue];
}

Dot file is a text file describing graph in dot language. This a.dot file can be coverted to other formats using command line program dot. For example to svg :

dot -Tsvg b.dot -o b.svg

I have changed manually to :

digraph "BinaryAddingMachine" {
rankdir = "LR";/* from left to right */
size ="6,6"; /* in inches */
/* vertices = nodes  */
null0 [shape=point,color=red];
1 [shape=circle,color=red] 
0 [shape=circle,color=blue]
/* edges = lines with arrows */
 null0-> 1 [color=red];
 1 -> 1 [label="1/0",color=red];
 0 -> 0 [label="0/0",color=blue];
 0 -> 0 [label="1/1",color=blue];
 1 -> 0 [label="0/1",color=blue];
 }

1. ↑ GAP software at wikipedia
2. ↑ CAS at wikipedia
3. ↑ FR package by Laurent Bartholdi for GAP CAS

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