DIVISION IN ARITHMETIC

Signed-Digit Division Using Combinational Arithmetic Nets

Mechanizing Verification of Arithmetic Circuits: SRT Division

The use of a rewrite-based theorem prover for verifying properties of arithmetic circuits is discussed. A prover such as Rewrite Rule Laboratory (RRL) can be used eeectively for establishing number-theoretic properties of adders, multipliers and dividers. Since veriication of adders and multipliers has been discussed elsewhere in earlier papers, the focus in this paper is on a divider circuit. ...

The Parallel Evaluation of Arithmetic Expressions Without Division

As computers become capable of executing more arithmetic operations simultaneously, the question of compiling for such machines becomes more important. In this correspondence we consider arbitrary arithmetic expressions of n distinct variables with operations restricted to addition, subtraction, and multiplication. We first construct a scheme whereby any such expression can be evaluated in at m...

Arabidopsis plants perform arithmetic division to prevent starvation at night

Photosynthetic starch reserves that accumulate in Arabidopsis leaves during the day decrease approximately linearly with time at night to support metabolism and growth. We find that the rate of decrease is adjusted to accommodate variation in the time of onset of darkness and starch content, such that reserves last almost precisely until dawn. Generation of these dynamics therefore requires an ...

ARITHMETIC-BASED FUZZY CONTROL

Fuzzy control is one of the most important parts of fuzzy theory for which several approaches exist. Mamdani uses $alpha$-cuts and builds the union of the membership functions which is called the aggregated consequence function. The resulting function is the starting point of the defuzzification process. In this article, we define a more natural way to calculate the aggregated consequence funct...