San José State University
Thayer Watkins
Silicon Valley
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Illustration of the Quotient
Theorem of Digital Arithmetic

This illustrates a property of the digital representation of numbers to base ten. It is a special case of a far more general theorem that applies not only to number representation to other bases but to polynomials in general. Ordinary numbers are polynomials in powers of ten. Since the base is ten the property concerns nine, one less than the base,

Consider the known properties of digital arithmetic with respect to nine.

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