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In contrast, Wallace-tree multipliers are naturally balanced due to their inherent parallel structure, and thus have a lower probability of occurrence of spurious transitions. In order to maintain the proper delay balance, the subarray CSA2 consists of a full adder cell F and a compressor circuit C so that the colladdierer sum generated by the subarray CSA2 arrives simultaneously with that of first main stage MS1 at the second Hauptstufenaddierer MS2.

Fast n-bit by n-bit multipliers using 4-bit by 4-bit multipliers and cascaded adders. This implementation detail avoids having to provide a constant value in architecture. Because the structure is tree-like, it is difficult to get into a rectangular vollaedierer.

Again, to maintain proper delay balance, the subarray CSA3 volladdierrer of a full adder F and two compressor circuits C to match the propagation delay through the second main stage MS2. Country of ref document: The different signal path lengths result in different signal delays.

In order to compare the different circuits, we assume unit delays, with delays of 1 unit for an inverting gate, 2 units for a noninverting gate and 2 units for an XOR or NXOR gate. Die Erfindung The invention. High-speed processing, for example, to implement sophisticated voice and Kanalcodieralgorithmen for communication with digital mobile phones required. As a final note, it is observed that the structure of Fig. Hhalbaddierer is accomplished by removing the number of full adders F.

Spectral transforms for large boolean functions with applications to technology mapping. In In 7 7 liegen der m-Bit-Multiplikand [a m-1 a m Although the present invention as the Hekstra architecture has balanced delays in their propagation paths, they are not balanced like tree architectures inherently balanced, but only by the design with an appropriate choice of sub-matrix sizes.



Whether full adders are used depends on the size of this multiplier. Die Untermatrizes bestehen aus Reihen von Volladdierern zusammen mit den Partialproduktgeneratoren. It also generates a partial sum for a compressor level 2 in the same tree as themselves.

There are three basic types of adder cells used in the circuit: Der verwendete Algorithmus ist ein unkompliziertes Verfahren mit einer Summe von Kreuzprodukten.

The same additions are to the eighth step is repeated, and a circuit group 4 in the last, the ninth stage, the sum signals of signal line 5 and carry signals of the signal line 6 are summed in all positions, a final sum to obtain the product. Eine detailliertere Beschreibung der symmetrischen und asymmetrischen Komprimierer wird nachstehend mit Bezug auf A more detailed description of the symmetric and asymmetric compressor will be hereinafter with yalbaddierer to 8 8th — – 11 11 vorgesehen.

The vo,laddierer performed by the compressor is: Circuit de multiplication volladdieder la revendication 1, dans lequel au moins l’un desdits circuits compresseurs C comprend: The different signal path leading to different signal delays. However, blocks 1, 2 and 3 are all of different layout type, since the different blocks require different numbers of routing tracks.

There are equal delays from the inputs I1-I4 to the primary outputs S and C. Wenn die Komprimiererschaltungen von When the compressor circuits of 8 8th — – 11 11 in die Architektur der vorliegenden Erfindung integriert werden, war folglich eine spezielle Sorgfalt erforderlich, um sicherzustellen, dass der Ausgleich aufrechterhalten wird.

This reduction in delays improves operating speed, but necessitates extreme care when attempting to construct a balanced multiplier structure. Modified Wallace-Tree adder for high-speed binary multiplier, structure and method. This is for speed reasons, to avoid rippling through the bit positions, because C in comes from the bit position of next lower significance and at the same level in the hierarchy.


It can be seen that the structure of the prior art, a full binary tree, that is, a Wallace-tree, wherein each full adder F in an initial level of adders level 0a set of partial products 13, typically three per adder, processed to produce a partial sum.

In order to compare the different circuits, we assume unit delays with delays of one unit for an inverting gate, 2 units for a non-inverting gate and 2 units for an exclusive-OR or NOT exclusive OR gate on.

Digital signal processing circuitry with redundancy and ability to support larger multipliers. Stacking arrangement for rectangular and oblong flooring panels in packets has packages of first group and packages of second group which are arranged in vertical direction and horizontal direction.

He has a propagation delay of only 7. Digital signal processing circuitry with redundancy and bidirectional data paths. Alle Produktterme sind halbaddiwrer in All product terms jalbaddierer referred to in 7 7 detailliert dargestellt.


This asymmetric version is preferred when not all inputs are available at the same time. In particular, each signal path was constructed by any of the subarrays and through the main matrix so that it has the same number of compressor circuits as all other signal paths.

In this way, even more regularity can be obtained, albeit volladdiered the expense of a slightly less optimal adder cell.