JPH07141148A - Pipeline parallel multiplier - Google Patents

Pipeline parallel multiplier

Info

Publication number
JPH07141148A
JPH07141148A JP31118293A JP31118293A JPH07141148A JP H07141148 A JPH07141148 A JP H07141148A JP 31118293 A JP31118293 A JP 31118293A JP 31118293 A JP31118293 A JP 31118293A JP H07141148 A JPH07141148 A JP H07141148A
Authority
JP
Japan
Prior art keywords
carry
divided
adder
stage
parallel multiplier
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP31118293A
Other languages
Japanese (ja)
Inventor
Junichi Sato
純一 佐藤
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Kanebo Ltd
Original Assignee
Kanebo Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Kanebo Ltd filed Critical Kanebo Ltd
Priority to JP31118293A priority Critical patent/JPH07141148A/en
Publication of JPH07141148A publication Critical patent/JPH07141148A/en
Pending legal-status Critical Current

Links

Abstract

PURPOSE:To obtain sufficiently high speed without expanding the size of a circuit by combining pipeline processing and a carry save adder type parallel multiplier. CONSTITUTION:In the carry save adder type parallel multiplier reducing the propagation of carry signals in a self-stage by transmitting a carry signal on each partial product adding stage to the succeeding adder, adding stages are divided at a position where the delay time of a carry or sum critical path in the multiplier is practically equally divided and a latch register 500 for inputting and storing the intermediate calculation result of the divided first half part and using the stored output as an input to the latter half part is inserted between the divided first and latter halves.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】本発明は、パイプライン方式を用
いたキャリーセーブアダー方式の並列乗算器に関する。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a carry save adder type parallel multiplier using a pipeline type.

【0002】[0002]

【従来の技術】一般に並列乗算回路としては、各乗算単
位回路のキャリーを各段内で横に順番に送っていくリッ
プルキャリー方式と、各乗算単位回路のキャリーを次段
に送っていくことによりリップルキャリー方式を高速化
したキャリーセーブアダー方式(「CMOS超LSIの
設計」培風館、P224)等が知られている。
2. Description of the Related Art Generally, as a parallel multiplication circuit, there are a ripple carry system in which the carry of each multiplication unit circuit is sequentially sent horizontally in each stage, and a carry of each multiplication unit circuit is sent to the next stage. A carry save adder method (“CMOS VLSI design”, Baifukan, P224), which speeds up the ripple carry method, is known.

【0003】図4は該キャリーセーブアダー方式を用い
た8×8ビット長の並列乗算器の一例であって、乗算単
位回路は、AND回路(300〜307、310〜31
7、320〜327、330〜337、340〜34
7、350〜357、360〜367、370〜37
7)又はAND回路と半加算器(HA)400、40
7、410、420、430、440、450又はAN
D回路と全加算器(FA)401〜406、411〜4
17、421〜427、431〜437、441〜44
7、451〜457よりなる乗算単位回路と、これらの
結果を加算するキャリー先見回路付きのアダー700と
からなり、乗算数Yは各入力端子200〜207に、被
乗算数Xは入力端子100〜107に夫々入力され、出
力端子600〜615より乗算結果Zが出力される。そ
して、例えばFA401のキャリー(桁上げ信号)はF
A411に入力されている如く、乗算単位回路のキャリ
ーは次段以降で加算されている。
FIG. 4 shows an example of a parallel multiplier of 8 × 8 bit length using the carry save adder method. The multiplication unit circuit is AND circuits (300 to 307, 310 to 31).
7, 320-327, 330-337, 340-34
7, 350-357, 360-367, 370-37
7) or AND circuit and half adder (HA) 400, 40
7, 410, 420, 430, 440, 450 or AN
D circuit and full adders (FA) 401 to 406, 411 to 4
17, 421-427, 431-437, 441-44
7, 451 to 457, and an adder 700 with a carry look-ahead circuit for adding these results. The multiplication number Y is input terminals 200 to 207 and the multiplicand X is input terminal 100 to. 107, and the multiplication result Z is output from the output terminals 600 to 615. And, for example, the carry (carry signal) of FA401 is F
As input to A411, the carry of the multiplication unit circuit is added in the subsequent stages.

【0004】一方、プロセッサ処理の高速化手段として
は、従来よりパイプライン処理が知られており、並列乗
算器にパイプライン処理を応用したものとしては、例え
ばリップルキャリー方式に応用したものとして特開平4
−205525号公報に開示されたものがある。
On the other hand, pipeline processing has been conventionally known as a means for speeding up processor processing, and one applying pipeline processing to a parallel multiplier is, for example, one applied to a ripple carry system. Four
There is one disclosed in JP-A-205525.

【0005】また、特開平4−10028号公報には、
乗算等の演算回路を複数の組み合わせ回路の集合体と
し、組み合わせ回路間をラッチ回路で接続したパイプラ
イン回路が開示されている。
Further, Japanese Patent Application Laid-Open No. 4-10028 discloses that
There is disclosed a pipeline circuit in which an arithmetic circuit for multiplication or the like is an aggregate of a plurality of combinational circuits and the combinational circuits are connected by a latch circuit.

【0006】[0006]

【発明が解決しようとする課題】しかしながら、前記従
来技術では、未だ十分な高速化が達成されなかった。す
なわち、特開平4−205525号公報に開示されたも
のはリップルキャリー方式乗算器の改良であるためキャ
リーセーブアダー方式に比べ、速度向上に限界があっ
た。
However, the above-mentioned conventional technique has not yet achieved a sufficient speedup. That is, since the one disclosed in Japanese Patent Laid-Open No. 4-205525 is an improvement of the ripple carry system multiplier, there is a limit to the speed improvement as compared with the carry save adder system.

【0007】また、特開平4−10028号公報には、
並列乗算器にパイプライン処理を組み合わせることが記
載されているものの、具体的に開示された乗算回路は例
えば同公報の第2図に見られる如く、ラッチ回路を各乗
算段毎に設けており、回路規模が大きくなる割にはそれ
に見合う高速化が望めなかった。更に、同公報では、ラ
ッチ回路の段数の設定しか開示されておらず、少ない段
数で最大の効率を上げる配置については従来知られては
いなかった。
Further, Japanese Patent Laid-Open No. 4-10028 discloses that
Although it is described that the pipeline processing is combined with the parallel multiplier, the specifically disclosed multiplying circuit is provided with a latch circuit for each multiplying stage, as shown in FIG. 2 of the publication, for example. Despite the large circuit scale, we couldn't expect the corresponding speedup. Further, the publication only discloses the setting of the number of stages of the latch circuit, and no arrangement has been conventionally known about the arrangement for increasing the maximum efficiency with a small number of stages.

【0008】本発明はかかる問題点を解決するものであ
って、その目的は、キャリーセーブアダ−方式の並列乗
算器にパイプライン処理を組み合わせ、しかも回路規模
を肥大させることなく十分な高速化を図ることにある。
The present invention is intended to solve such a problem, and an object thereof is to combine a carry save adder type parallel multiplier with pipeline processing, and to sufficiently speed up the circuit without enlarging the circuit scale. It is to plan.

【0009】[0009]

【課題を解決するための手段】本発明は、各部分積の加
算段の桁上げ信号を次段の加算器に伝えることにより、
自段内での桁上げ信号伝搬を少なくしたキャリーセーブ
アダー方式の並列乗算器において、前記乗算器のキャリ
ー又はサムのクリティカルパスの遅延時間が実質的に等
分される位置で加算段を分割し、分割した前半部と後半
部との間に、前半部の中間計算結果を入力して保持し、
保持した出力を後半部の入力とするラッチレジスタを挿
入したことを特徴とするパイプライン並列乗算器であ
る。
According to the present invention, by transmitting the carry signal of the adding stage of each partial product to the adder of the next stage,
In a carry save adder type parallel multiplier in which carry signal propagation in the self stage is reduced, the addition stage is divided at a position where the delay time of the carry or sum critical path of the multiplier is substantially divided. , Input the intermediate calculation result of the first half between the divided first half and the second half and hold it,
The pipeline parallel multiplier is characterized in that a latch register having the held output as an input of the latter half is inserted.

【0010】[0010]

【作用】本発明のパイプライン並列乗算器は、分割され
た各加算段でのクリティカルパス、すなわちキャリー又
はサムが辿る最も長い経路における遅延時間が等分され
ているため、各加算段での並行処理にロスタイムが少な
く、演算が最も効率良くなされる。
In the pipeline parallel multiplier of the present invention, since the delay time in the critical path in each divided addition stage, that is, the longest path followed by carry or sum is equally divided, the parallelism in each addition stage is increased. There is little loss time in processing, and calculation is most efficient.

【0011】[0011]

【実施例】以下、本発明の一実施例を図に基づいて説明
する。図1は本発明のキャリーセーブアダー方式の並列
パイプライン乗算器の一例であって、2段のパイプライ
ン方式の演算ビット長8×8の符号無し乗算器の回路図
である。
An embodiment of the present invention will be described below with reference to the drawings. FIG. 1 is an example of a carry save adder type parallel pipeline multiplier of the present invention, and is a circuit diagram of a two-stage pipeline type arithmetic bit length 8 × 8 unsigned multiplier.

【0012】図に示す如く、本発明のパイプライン並列
乗算器は、被乗算数Xの入力端子100〜107と、乗
算数Yの入力端子200〜207と、乗算単位回路であ
るAND回路300〜307、310〜317、320
〜327、330〜337、340〜347、350〜
357、360〜367、370〜377、半加算器
(HA)400、407、410、420、430、4
40、450、460、全加算器(FA)401〜40
6、411〜417、421〜427、431〜43
7、441〜447、451〜457、461〜46
7、及びラッチレジスタ500、乗算結果出力端子60
0〜615とから構成されており、乗算単位回路は前記
したキャリーセーブアダー方式のものと同等のもので良
い。よって、本発明において重要な点は、ラッチレジス
タ500の配置箇所にある。
As shown in the figure, the pipeline parallel multiplier of the present invention has input terminals 100 to 107 for the multiplicand X, input terminals 200 to 207 for the multiplication number Y, and an AND circuit 300 to a multiplication unit circuit. 307, 310-317, 320
~ 327, 330 to 337, 340 to 347, 350 ~
357, 360 to 367, 370 to 377, half adders (HA) 400, 407, 410, 420, 430, 4
40, 450, 460, full adder (FA) 401-40
6, 411-417, 421-427, 431-43
7, 441-447, 451-457, 461-46
7, latch register 500, multiplication result output terminal 60
0 to 615, and the multiplication unit circuit may be the same as that of the carry save adder system described above. Therefore, an important point in the present invention is the location of the latch register 500.

【0013】ここで図3に一般的な全加算器の例を示
す。同図の全加算器の場合、サムを出力するロジック
は、キャリーを出力するロジックより複雑であり、各ゲ
ートの遅延時間がほぼ同一であるとするなら、サムはキ
ャリーの倍の遅延時間を要する。よって、キャリーの遅
延時間=T、サムの遅延時間=2Tとして、図1の乗算
器のクリティカルパスを辿ると、被乗算数X7はFA4
06→FA415→FA424→FA433→FA44
2と辿り、全てサム出力のパスであるため、ここまでの
遅延時間は2T×5=10Tとなる。また、ここからの
クリィカルパスはFA451→HA460→FA461
→FA462→FA463→FA464→FA465→
FA466→FA467→出力端子614のパスであ
り、遅延時間は2T+T×7+2T=11Tとなり、F
A422とFA451の間で前半部と後半部のクリティ
カルパスの遅延時間がほぼ等しくなっていることがわか
る。
FIG. 3 shows an example of a general full adder. In the case of the full adder in the figure, the logic that outputs the sum is more complicated than the logic that outputs the carry, and if the delay time of each gate is almost the same, the sum requires a delay time that is twice that of the carry. . Therefore, when the delay time of carry = T and the delay time of sum = 2T and the critical path of the multiplier in FIG. 1 is traced, the multiplicand X7 is FA4.
06 → FA415 → FA424 → FA433 → FA44
The delay time up to this point is 2T × 5 = 10T because all paths are sum output paths. Also, the clinical path from here is FA451 → HA460 → FA461
→ FA462 → FA463 → FA464 → FA465 →
The path is FA466 → FA467 → output terminal 614, and the delay time is 2T + T × 7 + 2T = 11T.
It can be seen that between A422 and FA451, the delay times of the critical paths in the first half and the second half are almost equal.

【0014】従って、クリティカルパスの遅延時間が等
しくなるように前半部と後半部とに分割して、その間に
ラッチレジスタ500を設け、パイプライン構成とする
ことで、従来のキャリーセーブアダー方式の並列乗算器
のクリティカルパス遅延を半分にすることができる。ま
た、各段のクリティカルパスの遅延時間が全く同一とな
らない場合は、遅延時間差が最小となる位置にラッチレ
ジスタ500を設ければ良い。
Therefore, by dividing the first half and the second half so that the delay time of the critical path becomes equal, and providing the latch register 500 between them, a pipeline structure is provided, whereby parallelization of the conventional carry save adder method is performed. The critical path delay of the multiplier can be halved. Further, when the delay times of the critical paths of the respective stages are not exactly the same, the latch register 500 may be provided at the position where the delay time difference is minimized.

【0015】また、本実施例の回路の特徴として前半部
の回路のハードウエア量が多く、ラッチレジスタに渡す
出力は入力端子100〜107と200〜207のデー
タ自身ではなく全て組み合せ回路を通過した内部信号で
あるため、入力信号をラッチする必要はなく、ハードウ
エアが構成しやすい。
Further, as a characteristic of the circuit of this embodiment, the amount of hardware of the circuit in the first half is large, and the output to be passed to the latch register passes through not the data itself of the input terminals 100 to 107 and 200 to 207 but all the combination circuits. Since it is an internal signal, it is not necessary to latch the input signal, and the hardware is easy to configure.

【0016】図2は本発明のパイプライン並列乗算器の
他の例であって、実施例1と異なる点は図1の最終段の
リップルキャリーセーブアダー部であるHA460、F
A461〜467の構成部品を桁上げ先見回路(CL
A)付きの8ビットアダー700に置き換えた点であ
る。一般に先見回路付きのアダーに置き換えることによ
り後半部のクリティカルパス遅延は短縮されるが、短縮
の度合いはCLA内の実部品の構成により異なり、本実
施例で用いた8ビットアダー700では図1のリップル
キャリアダー部と遅延時間に大差がなかったため、ラッ
チレジスタ500は図1と同じ位置に配置されている。
FIG. 2 shows another example of the pipeline parallel multiplier of the present invention, which is different from the first embodiment in that HA460 and F which are the ripple carry save adder units at the final stage of FIG.
Carry look-ahead circuit (CL
The point is that the 8-bit adder 700 with A) is replaced. Generally, the critical path delay in the latter half part is shortened by replacing it with an adder having a look-ahead circuit. Since there is no great difference in the delay time from the ripple carrier part, the latch register 500 is arranged at the same position as in FIG.

【0017】尚、本実施例では、ラッチレジスタを一箇
所に設けて、加算段を2分割したが、必要により3分
割、4分割と多段に分割しても良い。但し、この場合で
も、各段のクリティカルパスの遅延時間は実質的に同一
にする必要がある。
In this embodiment, the latch register is provided at one place and the adding stage is divided into two, but it is also possible to divide into three stages and four stages as required. However, even in this case, the delay time of the critical path in each stage needs to be substantially the same.

【0018】[0018]

【発明の効果】本発明のパイプライン並列乗算器によれ
ば、キャリーセーブアダー方式とパイプライン方式の両
者により演算速度を大幅に向上させることができる。し
たがって、本発明によれば、クリティカルパスの遅延時
間がALU等の他のCPU構成部品と同程度となるた
め、本パイプライン並列乗算器を用いたCPUは高いク
ロック周期にて駆動することができる。
According to the pipeline parallel multiplier of the present invention, the operation speed can be greatly improved by both the carry save adder system and the pipeline system. Therefore, according to the present invention, since the delay time of the critical path is similar to that of other CPU components such as ALU, the CPU using the pipeline parallel multiplier can be driven in a high clock cycle. .

【0019】更に、本発明のパイプライン並列乗算器は
複雑な回路構成をとることなく、前記の如き高速化を図
ることができる。
Furthermore, the pipeline parallel multiplier according to the present invention can achieve the above-mentioned speed-up without taking a complicated circuit configuration.

【図面の簡単な説明】[Brief description of drawings]

【図1】本発明のパイプライン並列乗算器のブロック図
である。
FIG. 1 is a block diagram of a pipelined parallel multiplier of the present invention.

【図2】本発明のパイプライン並列乗算器のブロック図
である。
FIG. 2 is a block diagram of a pipelined parallel multiplier of the present invention.

【図3】本発明のパイプライン並列乗算器で用いる全加
算器のロジック図である。
FIG. 3 is a logic diagram of a full adder used in the pipeline parallel multiplier of the present invention.

【図4】従来のキャリーセーブアダー方式の並列乗算器
のブロック図である。
FIG. 4 is a block diagram of a conventional carry save adder type parallel multiplier.

【符号の説明】[Explanation of symbols]

AND回路 300〜307、310〜317、320
〜327、330〜337、340〜347、350〜
357、360〜367、370〜377 半加算器 400、407、410、420、43
0、440、450、460 全加算器 401〜406、411〜417、421
〜427、431〜437、441〜447、451〜
457、461〜467 500 ラッチレジスタ 700 キャリー先見回路(CLA)付きアダー
AND circuits 300 to 307, 310 to 317, 320
~ 327, 330 to 337, 340 to 347, 350 ~
357, 360 to 367, 370 to 377 Half adder 400, 407, 410, 420, 43
0, 440, 450, 460 full adders 401 to 406, 411 to 417, 421
~ 427, 431-437, 441-447, 451-
457, 461-467 500 Latch register 700 Carry look-ahead circuit (CLA) adder

Claims (1)

【特許請求の範囲】[Claims] 【請求項1】 各部分積の加算段の桁上げ信号を次段の
加算器に伝えることにより、自段内での桁上げ信号伝搬
を少なくしたキャリーセーブアダー方式の並列乗算器に
おいて、前記乗算器のキャリー又はサムのクリティカル
パスの遅延時間が実質的に等分される位置で加算段を分
割し、分割した前半部と後半部との間に、前半部の中間
計算結果を入力して保持し、保持した出力を後半部の入
力とするラッチレジスタを挿入したことを特徴とするパ
イプライン並列乗算器。
1. A carry-save adder type parallel multiplier in which carry signals in the adder stage of each partial product are transmitted to the adder in the next stage, thereby reducing carry signal propagation in the adder stage. The addition stage at a position where the delay time of the critical path of the carry or thumb is divided substantially equally, and the intermediate calculation result of the first half is input and held between the divided first half and second half. Then, a pipeline parallel multiplier is characterized in that a latch register having the held output as an input of the latter half is inserted.
JP31118293A 1993-11-16 1993-11-16 Pipeline parallel multiplier Pending JPH07141148A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP31118293A JPH07141148A (en) 1993-11-16 1993-11-16 Pipeline parallel multiplier

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP31118293A JPH07141148A (en) 1993-11-16 1993-11-16 Pipeline parallel multiplier

Publications (1)

Publication Number Publication Date
JPH07141148A true JPH07141148A (en) 1995-06-02

Family

ID=18014081

Family Applications (1)

Application Number Title Priority Date Filing Date
JP31118293A Pending JPH07141148A (en) 1993-11-16 1993-11-16 Pipeline parallel multiplier

Country Status (1)

Country Link
JP (1) JPH07141148A (en)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7769797B2 (en) 2004-01-20 2010-08-03 Samsung Electronics Co., Ltd. Apparatus and method of multiplication using a plurality of identical partial multiplication modules
RU2473955C1 (en) * 2011-06-08 2013-01-27 Лев Петрович Петренко METHOD OF GENERATING ARGUMENTS OF ANALOGUE SIGNALS OF PARTIAL PRODUCTS [ni]&[mj]f(h)↓CD OF ARGUMENTS OF MULTIPLIERS ±[mj]f(2n) И ±[ni]f(2n) - "COMPLEMENTARY CODE" IN PYRAMIDAL MULTIPLIER fΣ(↓CDΣ) FOR SUCCESSIVE LOGIC DECRYPTION f1(CD↓) AND GENERATING RESULTANT SUM IN FORMAT ±[SΣ]f(2n) - "COMPLEMENTARY CODE" AND FUNCTIONAL STRUCTURE FOR REALISATION THEREOF (VERSIONS OF RUSSIAN LOGIC)
RU2475813C2 (en) * 2011-04-01 2013-02-20 Лев Петрович Петренко METHOD FOR LOGIC-DYNAMIC PROCESS OF GENERATING ANALOGUE INFORMATION SIGNALS OF PARTIAL PRODUCTS OF ARGUMENTS OF MULTIPLIERS ±[ni] AND ±[mj] - "COMPLEMENTARY CODE" OF TRUNCATED PYRAMIDAL STRUCTURE OF MULTIPLIER fΣ(Σ) FOR SUBSEQUENT ACCUMULATIVE SUMMATION IN ADDER ±f1(Σ) AND FUNCTIONAL DESIGN FOR REALISATION THEREOF (VERSIONS OF RUSSIAN LOGIC)
RU2481614C2 (en) * 2011-06-08 2013-05-10 Лев Петрович Петренко METHOD TO GENERATE ARGUMENTS OF ANALOG SIGNALS OF PARTIAL PRODUCTS [ni]&[mj]f(h)↓CD ARGUMENTS OF MULTIPLICAND ±[mj]f(2n) AND ARGUMENTS OF MULTIPLIER ±[ni]f(2n) - "ADDITIONAL CODE" IN PYRAMIDAL MULTIPLIER fΣ(↓CDΣ) FOR SUBSEQUENT LOGICAL DECODING f1(CD↓) AND GENERATION OF RESULTING SUM IN FORMAT ±[SΣ]f(2n) -"ADDITIONAL CODE" AND FUNCTIONAL STRUCTURE FOR ITS REALISATION (VERSIONS OF RUSSIAN LOGICS)

Citations (1)

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JPH04502677A (en) * 1989-01-13 1992-05-14 ブイエルエスアイ テクノロジー,インコーポレイティド How to analyze data path elements

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US7769797B2 (en) 2004-01-20 2010-08-03 Samsung Electronics Co., Ltd. Apparatus and method of multiplication using a plurality of identical partial multiplication modules
RU2475813C2 (en) * 2011-04-01 2013-02-20 Лев Петрович Петренко METHOD FOR LOGIC-DYNAMIC PROCESS OF GENERATING ANALOGUE INFORMATION SIGNALS OF PARTIAL PRODUCTS OF ARGUMENTS OF MULTIPLIERS ±[ni] AND ±[mj] - "COMPLEMENTARY CODE" OF TRUNCATED PYRAMIDAL STRUCTURE OF MULTIPLIER fΣ(Σ) FOR SUBSEQUENT ACCUMULATIVE SUMMATION IN ADDER ±f1(Σ) AND FUNCTIONAL DESIGN FOR REALISATION THEREOF (VERSIONS OF RUSSIAN LOGIC)
RU2473955C1 (en) * 2011-06-08 2013-01-27 Лев Петрович Петренко METHOD OF GENERATING ARGUMENTS OF ANALOGUE SIGNALS OF PARTIAL PRODUCTS [ni]&[mj]f(h)↓CD OF ARGUMENTS OF MULTIPLIERS ±[mj]f(2n) И ±[ni]f(2n) - "COMPLEMENTARY CODE" IN PYRAMIDAL MULTIPLIER fΣ(↓CDΣ) FOR SUCCESSIVE LOGIC DECRYPTION f1(CD↓) AND GENERATING RESULTANT SUM IN FORMAT ±[SΣ]f(2n) - "COMPLEMENTARY CODE" AND FUNCTIONAL STRUCTURE FOR REALISATION THEREOF (VERSIONS OF RUSSIAN LOGIC)
RU2481614C2 (en) * 2011-06-08 2013-05-10 Лев Петрович Петренко METHOD TO GENERATE ARGUMENTS OF ANALOG SIGNALS OF PARTIAL PRODUCTS [ni]&[mj]f(h)↓CD ARGUMENTS OF MULTIPLICAND ±[mj]f(2n) AND ARGUMENTS OF MULTIPLIER ±[ni]f(2n) - "ADDITIONAL CODE" IN PYRAMIDAL MULTIPLIER fΣ(↓CDΣ) FOR SUBSEQUENT LOGICAL DECODING f1(CD↓) AND GENERATION OF RESULTING SUM IN FORMAT ±[SΣ]f(2n) -"ADDITIONAL CODE" AND FUNCTIONAL STRUCTURE FOR ITS REALISATION (VERSIONS OF RUSSIAN LOGICS)

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