# A Nonlinear Recurrence Yielding Binary Digits

by Stanley Rabinowitz and Peter Gilbert (Digital Equipment Corporation)

This article originally appeared in:
Mathematics Magazine
June, 1991

Subject classification(s): Discrete Mathematics | Recursion
Applicable Course(s): 3.7 Discrete Math | 4.3 Number Theory

The authors obtain a recurrence relation that yields the $$n$$th digit in the binary expansion of any real number.

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Capsule Course Topic(s):
Number Theory | Number Sequences