• Journal of the Institute of Electronics Engineers of Korea CI
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• v.43 no.6 s.312
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• pp.10-16
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• 2006

This paper proposed a carry lookahead (CLA) circuitry design. It was based on dynamic circuit aiming at delay reduction in an addition of BCD coded decimal numbers. The performance of these decimal adders is analyzed demonstrating their speed improvement. Timing simulation on the proposed decimal addition circuit employing $0.18{\mu}m$ CMOS technology yielded the worst-case delay of 0.83 ns at 16-digit. The proposed scheme showed a speed improvement compared to several schemes for decimal addition.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.595-605
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• 2014

Infinite decimals have an infinite number of digits, chosen arbitrary and independently, to the right side of the decimal point. Since infinite decimals are ambiguous numbers impossible to write them down completely, the infinite decimal representation accompanies unavoidable opaqueness. This article focused the transparent aspect of infinite decimal representation with respect to the completeness axiom of real numbers. Long before the formalization of real number concept in $19^{th}$ century, many mathematicians were able to deal with real numbers relying on this transparency of infinite decimal representations. This analysis will contribute to overcome the double discontinuity caused by the different conceptualizations of real numbers in school and academic mathematics.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.40 no.5
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• pp.241-249
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• 2003

Carry lookahead(CLA) circuitry of decimal adders is proposed aiming at delay reduction. The truncation error in calculation of monetary interests may accumulate yielding a substantial amount of errors. Binary Coded Decimal(BCD) additions. for example, eliminate the truncation error in a fractional representation of decimal numbers. The proposed BCD carry lookahead scheme is aiming at the speed improvements without any truncation errors in the addition of decimal fractions. The delay estimation of the BCD CLA is demonstrated with improved performance in addition. Further reduction in delay can be achieved introducing non-weighted number system such as the excess-3 code.

• The Mathematical Education
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• v.50 no.3
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• pp.309-327
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• 2011

In this paper, we extended the division algorithm for the integers to the finite decimals. Though the remainder for the finite decimals is able to be defined as various ways, the remainder could be defined as 'the remained amount' which is the result of the division and as "the remainder" only if 'the remained amount' is decided uniquely by certain conditions. From the definition of "the remainder" for the finite decimal, it could be inferred that 'the division by equal part' and 'the division into equal parts' are proper for the division of the finite decimal concerned with the definition of "the remainder". The finite decimal, based on the unit of measure, seemed to make it possible for us to think "the remainder" both ways: 1" in the division by equal part when the quotient is the discrete amount, and 2" in the division into equal parts when the quotient is not only the discrete amount but also the continuous amount. In this division context, it could be said that the remainder for finite decimal must have the meaning of the justice and the completeness as well. The theorem of the division algorithm for the finite decimal could be accomplished, based on both the unit of measure of "the remainder", and those of the divisor and the dividend. In this paper, the meaning of the division algorithm for the finite decimal was investigated, it is concluded that this theory make it easy to find the remainder in the usual unit as well as in the unusual unit of measure.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.445-458
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• 2012

Current textbooks may provide students and teachers with three improper notions related to the quotient and the remainder in division for decimal numbers as in the following. First, only the calculated results in (natural numbers)${\div}$(natural numbers) is the quotient. Second, when the quotient and the remainder are obtained in division for decimal numbers, the quotient is natural number and the remainder is unique. Third, only when the quotient cannot be divided exactly, the quotient can be rounded off. These can affect students and teachers on their notions of division for decimal numbers, so improvements are needed for to break it. For these improvements, the following measures are required. First, in the curriculum guidebook, the meaning of the quotient and the remainder in division for decimal numbers should be presented clearly, for preventing the possibility of the construction of such improper notions. Second, examples, problems, and the like should be presented in the textbooks enough to break such improper notions. Third, the didactical intention should be presented clearly with respect to the quotient and the remainder in division for decimal numbers in teacher's manual.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.1-17
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• 2013

In this paper, firstly, 'value', 'vertices', 'height' are discussed, which are used in the multiple contexts. Then 'sketch', 'mental math', 'zero point oneth place/zero point zero oneth place/zero point zereo zero oneth place', 'number of place', 'natural number part/decimal part' are discussed, which are not used consistently. Finally, middle school mathematics terms 'distance', 'number line', 'the value of the expression' are discussed which are used in elementary school mathematics textbooks/workbooks. From these discussions, the following four suggestions are proposed as conclusions. First, as a mathematical term 'value' and 'distance' should be emphasized. As 'distance' is a middle school term, there is a need to consider the 'height' as 'the length of the line segment' instead of 'distance'. Second, 'number of place' which can be replaced with other suitable term, 'the value of the expression' including 'value of $20{\times}4$', 'natural number part/decimal part', 'vertex of pyramid/vertex of cone', 'mental math' should not be used. Third, there is a need to consider the use of 'mixed decimal' and 'proper decimal'. In addition, there is a need to expand the use of 'sketch'. Fourth, there is a need to consider the confirmation of 'number line' as an elementary school mathematics term. In addition, there is a need to consider to specify that 'decimal first place', 'decimal second place', 'decimal third place' can be used equivalently with 'zero point oneth place', 'zero point zero oneth place', 'zero point zereo zero oneth place' respectively.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.41 no.5
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• pp.17-23
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• 2004

In this paper, we proposed a mixed algerian to improve decimal division speed. In the binary number system, nonrestoring algorithm has a smaller number of operation than restoring algorithm. In decimal number system however, the number of operations differs with respect to quotient values. Since one digit ranges 0 to 9 in decimal, the proposed mixed algerian employs both nonrestoring and restoring algorithm considering current partial remainder values. The proposed algorithm chooses either restoring or nonrestoring algerian based on the remainder values. The proposed algorithm improves computation speed substantially over a single algorithm decreasing the number of operations.

• Journal of the Korean Society for information Management
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• v.40 no.4
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• pp.147-165
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• 2023

New technologies representing the Fourth Industrial Revolution are already being realized in library services. There is not, however, active research on measures to increase work efficiency by introducing a new technology in the work of "classification" that is part of the traditional librarian jobs they should continue in the future. The Dewey Decimal Classification (DDC) has not issued a print version since 2018. This study analyzes cases of WebDewey, Classification Web, and UDC Online. The functions required for the development of the Korean Decimal Classification (KDC) web version were derived, and the final functions suitable for the development of the KDC web version were proposed through AHP analysis.

• School Mathematics
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• v.1 no.2
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• pp.417-431
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• 1999

In this study, I consider Brousseau's theory of didactical situation focused on 'the development process of situations', and analyze some examples of didactical situation related to instruction of 'decimal' concept. To elaborate situations which really make a mathematical notion function, we have to analyze the essence of the notion, and to construct the situation which can be developed to situations of 'action-formulation-validation - institutionalization'. From this view, it can be said that the instruction of decimal concept in our country mainly lies in the situations of 'action' and 'institutionalization'. we have to provide more situations of 'formulation' and 'institutionalization' which can connect 'action' and 'institutionalization'.

• Journal of Korean Library and Information Science Society
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• v.36 no.4
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• pp.133-153
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• 2005

This study is to analyze and suggest the KDC's facet structure. KDC is using the Decimal Classification's facet structure. New suggestions are : Clearly use standard subdivisions and add instruction like 'Add to base number $\~$ notation $\~$ from table $\~$' : auxiliary tables contents are need to revise and expand to make a add table found in schedules and provide numbers to be added to designated schedules numbers are necessary.