BIT predicate
In mathematics and computer science, the BIT predicate, sometimes written BIT ( i , j ) {\displaystyle {\text{BIT}}(i,j)} , is a predicate that tests whether the j {\displaystyle j} th bit of the number i {\displaystyle i} (starting from the least significant bit) is 1, when i {\displaystyle i} is written as a binary number. Its mathematical applications include modeling the membership relation of hereditarily finite sets, and defining the adjacency relation of the Rado graph.