English
Related papers

Related papers: Best implementations of quaternary adders

200 papers

In this work, we present a class of new designs for reversible binary and BCD adder circuits. The proposed designs are primarily optimized for the number of ancilla inputs and the number of garbage outputs and are designed for possible best…

Quantum Physics · Physics 2017-12-08 Himanshu Thapliyal , Nagarajan Ranganathan

Binary addition is one of the most primitive and most commonly used applications in computer arithmetic. A large variety of algorithms and implementations have been proposed for binary addition. Huey Ling proposed a simpler form of CLA…

Hardware Architecture · Computer Science 2019-08-28 Projjal Gupta

Quantum addition circuits are considered being of two types: 1) Toffolli-adder circuits which use only classical reversible gates (CNOT and Toffoli), and 2) QFT-adder circuits based on the quantum Fourier transformation. We present the…

Quantum Physics · Physics 2022-11-09 Alexandru Paler

Approximate circuit design has gained significance in recent years targeting error tolerant applications. In this paper, we first demonstrate that the commonly used assumption that the inputs to the adder are uniformly distributed results…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Celia Dharmaraj , Vinita Vasudevan , Nitin Chandrachoodan

Multiplier circuits play an important role in reversible computation, which is helpful in diverse areas such as low power CMOS design, optical computing, DNA computing and bioinformatics. Here we propose a new reversible multiplier circuit…

Quantum Physics · Physics 2009-07-21 Anindita Banerjee , Anirban Pathak

Based on the ASIC layout level simulation of 7 types of adder structures each of four different sizes, i.e. a total of 28 adders, we propose expressions for the width of each of the three regions of the final Carry Propagate Adder (CPA) to…

Hardware Architecture · Computer Science 2011-10-18 Ramkumar B. , Harish M. Kittur

Contemporary quantum computers encode and process quantum information in binary qubits (d = 2). However, many architectures include higher energy levels that are left as unused computational resources. We demonstrate a superconducting…

Priority encoders are typically considered expensive hardware components in terms of complexity, especially at high bit precisions or input lengths (e.g., above 512 bits). However, if the complexity can be reduced, priority encoders can…

Hardware Architecture · Computer Science 2026-01-29 Maxwell Phillips , Firas Hassan , Ahmed Ammar

We examine the fundamental problem of constructing depth-optimum circuits for binary addition. More precisely, as in literature, we consider the following problem: Given auxiliary inputs $t_0, \dotsc, t_{m-1}$, so-called generate and…

Discrete Mathematics · Computer Science 2020-12-11 Ulrich Brenner , Anna Hermann , Jannik Silvanus

High resolution analog to digital converters (ADCs) are conventionally used at the receiver terminals to store an accurate digital representation of the received signal, thereby allowing for reliable decoding of transmitted messages.…

Information Theory · Computer Science 2021-12-07 Abbas Khalili , Farhad Shirani , Elza Erkip , Yonina C. Eldar

A novel adaptive binary decoding algorithm for LDPC codes is proposed, which reduces the decoding complexity while having a comparable or even better performance than corresponding non-adaptive alternatives. In each iteration the variable…

Information Theory · Computer Science 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

Approximate computing is emerging as an alternative to accurate computing due to its potential for realizing digital circuits and systems with low power dissipation, less critical path delay, and less area occupancy for an acceptable…

Hardware Architecture · Computer Science 2018-01-19 P Balasubramanian

Quantum-dot Cellular Automata (QCA) is one of the emerging nanotechnologies, promising alternative to CMOS technology due to faster speed, smaller size, lower power consumption, higher scale integration and higher switching frequency. Also,…

Emerging Technologies · Computer Science 2019-07-24 Moein Sarvaghad-Moghaddam , Ali A. Orouji

The at-most-k constraint is ubiquitous in combinatorial problems, and numerous SAT encodings are available for the constraint. Prior experiments have shown the competitiveness of the sequential-counter encoding for k $>$ 1, and have…

Logic in Computer Science · Computer Science 2020-05-14 Neng-Fa Zhou

Low resolution analog-to-digital converters (ADCs) can be employed to improve the energy efficiency (EE) of a wireless receiver since the power consumption of each ADC is exponentially related to its sampling resolution and the hardware…

Signal Processing · Electrical Eng. & Systems 2020-03-11 Aryan Kaushik , Christos Tsinos , Evangelos Vlachos , John Thompson

We study the implementation of quantum key distribution (QKD) systems over quantum repeater infrastructures. We particularly consider quantum repeaters with encoding and compare them with probabilistic quantum repeaters. To that end, we…

Quantum Physics · Physics 2021-04-21 Yumang Jing , Mohsen Razavi

This paper aims to construct optimal quaternary additive codes with non-integer dimensions. Firstly, we propose combinatorial constructions of quaternary additive constant-weight codes, alongside additive generalized anticode construction.…

Information Theory · Computer Science 2024-11-12 Chaofeng Guan , Jingjie Lv , Gaojun Luo , Zhi Ma

In today's world everyday a new technology which is faster, smaller and more complex than its predecessor is being developed. The increased number of transistors packed onto a chip of a conventional system results in increased power…

Hardware Architecture · Computer Science 2013-06-11 Aakash Gupta , Pradeep Singla , Jitendra Gupta , Nitin Maheshwari

This technical note compares the performance of some synchronous adders which correspond to the following architectures: i) ripple carry adder (RCA), ii) recursive carry lookahead adder (RCLA), iii) hybrid RCLA-RCA with the RCA used in the…

Hardware Architecture · Computer Science 2018-10-03 P Balasubramanian

The quantum and reversible paradigm merges the principles of quantum mechanics and reversible computation to enable information-preserving processing. It supports next-generation computing architectures that provide improved scalability and…

Quantum Physics · Physics 2025-12-15 Negin Mashayekhi , Mohammad Reza Reshadinezhad , Antonio Rubio , Shekoofeh Moghimi