• Title/Summary/Keyword: Binary Number

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Estimation of performance for random binary search trees (확률적 이진 검색 트리 성능 추정)

  • 김숙영
    • Journal of the Korea Computer Industry Society
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    • v.2 no.2
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    • pp.203-210
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    • 2001
  • To estimate relational models and test the theoretical hypotheses of binary tree search algorithms, we built binary search trees with random permutations of n (number of nodes) distinct numbers, which ranged from three to seven. Probabilities for building binary search trees corresponding to each possible height and balance factor were estimated. Regression models with variables of number of nodes, height, and average number of comparisons were estimated and the theorem of O(1g(n)) was accepted experimentally by a Lack of Test procedure. Analysis of Variance model was applied to compare the average number of comparisons with three groups by height and balance factor of the trees to test theoretical hypotheses of a binary search tree performance statistically.

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Inverse Kinematic Analysis of a Three Dimensional Binary Robot Manipulator (3차원 2진 로봇 머니퓰레이터의 역기구학적 해석)

  • Ryu, Gil-Ha;Rhee, Ihn-Seok
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.205-212
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    • 1999
  • A three dimensional binary parallel robot manipulator uses actuators which have only two stable states and its structure is variable geometry truss. As a result, it has a finite number of states and fault tolerant mechanism because of kinematic redundancy. This kind of robot manipulator has some advantages compared to a traditional one. Feedback control is not required, task repeatability can be very high, and finite state actuators are generally inexpensive. Because the number of states of a binary robot manipulator grows exponentially with the number of actuators it is very difficult to solve and inverse kinematic problem. The goal of this paper is to develop an efficient algorithm to solve an inverse kinematic problem of three dimensional binary parallel robot manipulator using a backbone curve when the number of actuators are too much. We first derive the coordinate transformations associated with a three degree of freedom in-parallel actuated robot manipulator. The backbone curve is generated optimally by considering the maximum roll and pitch angles of the robot manipulator configuration and length of link. Then, the robot manipulator is fitted along the backbone curve with some criterion.

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The Study on the Development of the Educational Contents for the Natural Number Binary System (자연수의 이진체계 교육자료 개발에 관한 연구)

  • Jang, Junghoon;Kim, Chongwoo
    • Journal of The Korean Association of Information Education
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    • v.19 no.4
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    • pp.525-532
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    • 2015
  • Unplugged has been widely used as an instrument for teaching the basic principles of Computer Science. This study presents the teaching contents developed for the children without any knowledge of binary numbers. which successfully guided them to understand the natural number binary system. The level of the pre-lesson for this learning requires counting numbers, matching numbers with cards, and arranging numbers. The activity-based learning is provided for describing natural numbers with the binary system and finding out them in everyday life. To check the adequacy of these materials on their organization and assessment they were tested at the classroom, which showed effective about the knowledge, the attitude and the generalization.

Binary Sequence Generator with a Large Number of Output Sequences (다수열 출력 이진 수열 발생기)

  • 이훈재;문상재
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.7 no.3
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    • pp.11-22
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    • 1997
  • The number of output sequence was proposed as a characteristic of binary sequence generators for cryptographic application, but in general most of binary sequence generators have single number of output sequence. In this paper, we propose two types of binary sequence generators with a large number of output sequences. The first one is a Switched-Tap LFSR (STLFSR) and it applies to the generalized nonlinear function and the Geffe's generator as example. The other is a generalized memory sequence generator(GMEM-BSG) which is an improved version of the Golic's memory sequence generator (MEM-BSG) with a large number of output sequences, and its period, linear complexity, and the number of output sequence are derived.

Optimized Binary-Search-on- Range Architecture for IP Address Lookup (IP 주소 검색을 위한 최적화된 영역분할 이진검색 구조)

  • Park, Kyong-Hye;Lim, Hye-Sook
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.12B
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    • pp.1103-1111
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    • 2008
  • Internet routers forward an incoming packet to an output port toward its final destination through IP address lookup. Since each incoming packet should be forwarded in wire-speed, it is essential to provide the high-speed search performance. In this paper, IP address lookup algorithms using binary search are studied. Most of the binary search algorithms do not provide a balanced search, and hence the required number of memory access is excessive so that the search performance is poor. On the other hand, binary-search-on-range algorithm provides high-speed search performance, but it requires a large amount of memory. This paper shows an optimized binary-search-on-range structure which reduces the memory requirement by deleting unnecessary entries and an entry field. By this optimization, it is shown that the binary-search-on-range can be performed in a routing table with a similar or lesser number of entries than the number of prefixes. Using real backbone routing data, the optimized structure is compared with the original binary-search-on-range algorithm in terms of search performance. The performance comparison with various binary search algorithms is also provided.

A Study on Efficient Decoding of Huffman Codes (허프만 코드의 효율적인 복호화에 관한 연구)

  • Park, Sangho
    • Journal of IKEEE
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    • v.22 no.3
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    • pp.850-853
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    • 2018
  • In this paper, we propose a decoding method using a balanced binary tree and a canonical Huffman tree for efficient decoding of Huffman codes. The balanced binary tree scheme reduces the number of searches by lowering the height of the tree and binary search. However, constructing a tree based on the value of the code instead of frequency of symbol is a drawback of the balanced binary tree. In order to overcome these drawbacks, a balanced binary tree is reconstructed according to the occurrence probability of symbols at each level of the tree and binary search is performed for each level. We minimize the number of searches using a canonical Huffman tree to find level of code to avoid searching sequentially from the top level to bottom level.

A Design of the Redundant Binary Coded Decimal Adder for the Carry-Free Binary Coded Decimal Addition (Redundant 십진코드를 이용하여 십진 자리간 Carry 전파를 제거한 십진 Adder 설계)

  • Je, Jung-Min;Chung, Tae-Sang
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.11
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    • pp.491-494
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    • 2006
  • In the adder design, reduction of the delay of the carry propagation or ripple is the most important consideration. Previously, it was introduced that, if a redundant number system is adopted, the carry propagation is completely eliminated, with which addition can be done in a constant time, without regarding to the count of the digits of numbers involved in addition. In this paper, a RBCD(Redundant Binary Coded Decimal) is adopted to code 0 to 11, and an efficient and economic carry-free BCD adder is designed.

Enhanced bit-by-bit binary tree Algorithm in Ubiquitous ID System (Ubiquitous ID 시스템에서의 Enhanced bit-by-bit 이진 트리 알고리즘)

  • 최호승;김재현
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.41 no.8
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    • pp.55-62
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    • 2004
  • This paper proposes and analyzes two anti-collision algorithms in Ubiquitous ID system. We mathematically compares the performance of the proposed algorithms with that of binary search algorithm slotted binary tree algorithm using time slot, and bit-by-bit binary tree algorithm proposed by Auto-ID center. We also validated analytic results using OPNET simulation. Based on analytic result comparing the proposed Modified bit-by-bit binary tree algorithm with bit-by-bit binary tree algorithm which is the best of existing algorithms, the performance of Modified bit-by-bit binary tree algorithm is about 5% higher when the number of tags is 20, and 100% higher when the number of tags is 200. Furthermore, the performance of proposed Enhanced bit-by-bit binary tree algorithm is about 335% and 145% higher than Modified bit-by-bit binary tree algorithm for 20 and 200 tags respectively.

Encryption and decryption of binary data with 2-step phase-shifting digital interferometry (2-step 위상 천이 디지털 간섭계를 이용한 이진 데이터 암호화 및 복호화)

  • Byeon, Hyeon-Jung;Gil, Sang-Geun;Ha, Seung-Ho
    • Proceedings of the Optical Society of Korea Conference
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    • 2006.02a
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    • pp.335-336
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    • 2006
  • We propose a method of encryption and decryption of binary data using 2-step phase-shifting digital interferometry. This technique reduces the number of interferograms in the phase-shifting interferometry. The binary data has been expressed with random code and random phase. We remove the dc-term of the phase-shifting digital interferogram to restore the original binary data. Simulation results shows that the proposed technique can be used for binary data encryption and decryption.

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A Theory on the Construction of Binary Sequences with Ideal Atutocorrelation

  • No, Jong-Seon;Yang, Kyeong-Cheol;Chung, Ha-Bong;Song, Hong-Yeop
    • Journal of Electrical Engineering and information Science
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    • v.2 no.6
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    • pp.223-228
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    • 1997
  • In this paper, we present a closed-form expression of binary sequences of longer period with ideal autocorrelation property in a trace representation, if a given binary sequence with ideal autocorrelation property is described using the trace function. We also enumerate the number of cyclically distinct binary sequences of a longer period with ideal autocorrelation property, which are extended from a given binary sequence with ideal autocorrelation property.

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