Conceptual knowledge of decimal arithmetic.

Conceptual Knowledge of Fraction Arithmetic

Understanding an arithmetic operation implies, at minimum, knowing the direction of effects that the operation produces. However, many children and adults, even those who execute arithmetic procedures correctly, may lack this knowledge on some operations and types of numbers. To test this hypothesis, we presented pre-service teachers (Study 1), middle school students (Study 2), and math and sci...

Design Exploration for Decimal Floating-Point Arithmetic

Commercial applications and databases typically store numerical data in decimal format. Currently, however, microprocessors do not provide instructions or hardware support for decimal floating-point arithmetic [ 1 ]. Consequently, decimal numbers are often read into computers, converted to binary numbers, and then processed using binary floating-point arithmetic. Results are then converted back...

Software implementation of the IEEE 754R decimal floating-point arithmetic

A Complete Term Rewriting System for Decimal Integer Arithmetic

We present a term rewriting system for decimal integers with addition and subtraction. We prove that the system is connuent and terminating.

Design Methods for Binary to Decimal Converters Using Arithmetic Decompositions

In digital signal processing, radixes other than two are often used for high-speed computation. In the computation for finance, decimal numbers are used instead of binary numbers. In such cases, radix converters are necessary. This paper considers design methods for binary to q-nary converters. It introduces a new design technique based on weighted-sum (WS) functions. The method computes a WS f...