Inside Commodore DOS - download pdf or read online

By Gerald G. Neufeld, Richard C. Immers

ISBN-10: 0835930912

ISBN-13: 9780835930918

Neufeld, Immers. inside of Commodore DOS (Brady, 1986)(ISBN 0835930912)(600dpi)(T)(O)(512s)

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Here, each node with a rectangular shape includes a pipeline register, i. , two-input nodes marked with ‘+’ or ‘–’ are pipelined adders and subtractors, respectively, while single input nodes are pure registers. Each node in the PAG corresponds to similar BLE costs. 10(c), there obviously exists a solution with less nodes. This PAG will typically use less BLEs although more adders are used. Note that optimizing PAGs is complementary to methods that increase the speed of a single adder, e. , deeply pipelined adders [67].

The lowest possible adder depth is limited by the node(s) with maximum adder depth Dmax = max ADmin (t) . 19) Limiting the adder depth to Dmax leads to the lowest possible delay and to the corresponding optimization problem: Definition 5 (MCM with Bounded Adder Depth (MCMBAD ) Problem). Given a set of positive target constants T = {t1 , . . , tM }, find an adder graph with minimum cost such that AD(t) ≤ Dmax for all t ∈ T . The adder depth has an impact on the power consumption [34, 50–55]. It is based on the insight that a transition which is generated at the input or an adder output produces more transitions (glitches) in the following stages.

Y1 y0 ), with xi , yi ∈ {0, 1} can be written as B−1 x·y =x· B−1 2i y i i=0 2i x · yi = i=0 . 1) partial product In a generic multiplier, the partial products x · yi can be obtained by a bitwise AND-operation. The final product is then obtained by adding the bit-shifted partial products. Now, if y is a constant bit vector, all bits yi which are zero lead to zero partial products and the corresponding adders can be removed. Thus, the number of required adders for the constant multiplication using this representation is equal to the number of non-zero elements (Hamming weight) in the binary representation of y minus one.

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Inside Commodore DOS by Gerald G. Neufeld, Richard C. Immers

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