Abstract: The invention is an educational device for explicitly demonstrating various operations with nonstandard counting procedures, mainly extending binary sequences by an additional digit for each sequence while remaining consistent with hereditary properties residing in the original or challenge sequence.Illustrated in an inscribed sequence with sixteen binary digits and its derived sub-sequence with fifteen binary digits in a configuration for testing values of a variable denoted by the letter `T.`The letter `T` is inscribed upon a plate which indicates the exact position into which a new trial binary digit may be incorporated into the subsequence thereby extending the challenge binary sequence.