World Scientific News
EISSN 2392-2192
  • Login
  • Home
  • About
    • About Us
    • Editorial Board
    • Guide for Authors
    • Abstracting & Indexing
    • Instruction for Authors
    • Submit your Article
  • View Articles
    • 2026
    • 2025
    • 2024
    • 2023
    • 2022
    • 2021
    • 2020
    • 2019
    • 2018
    • 2017
    • 2016
    • 2015
    • 2014
    • 2013
  • Careers
  • News
No Result
View All Result
SUBMIT ARTICLE
Register
  • Home
  • About
    • About Us
    • Editorial Board
    • Guide for Authors
    • Abstracting & Indexing
    • Instruction for Authors
    • Submit your Article
  • View Articles
    • 2026
    • 2025
    • 2024
    • 2023
    • 2022
    • 2021
    • 2020
    • 2019
    • 2018
    • 2017
    • 2016
    • 2015
    • 2014
    • 2013
  • Careers
  • News
No Result
View All Result
World Scientific News
No Result
View All Result
Home 2025

On Signed-Digit Numbers

Author: Mehmet Pakdemirli, WSN 202 (2025) 308-317

2025-04-15
Reading Time: 2 mins read
0

ABSTRACT

Signed digit numbers are defined as the numbers where each individual digit may have positive or negative numbers. Properties of the signed digit numbers are investigated in detail. New definitions associated with the signed-digit numbers are given. Theorems are posed and proven for the signed digit numbers. Special prime numbers associated to the signed digit numbers are given. Numbers in different bases are also treated. Divisibility rules are given for such numbers.

 

References

 

  • [1] Avizienis, Signed-digit number representation for fast arithmetic, I.R.E. Transactions on Electronic Computers EC-10 (1961), 389-400.
  • [2] Svoboda, Decimal adder with signed digit arithmetic, IEEE Transactions on Computers C-18 (1969), 212-215.
  • [3] N. Rajashekhara and A. S. Nale, Conversion from signed-digit to radix complement representation, International Journal of Electronics 69 (1990), 717-721.
  • [4] Arno and F. S. Wheeler, Signed digit representations of minimal Hamming weight, IEEE Transactions on Computers 42 (1993), 1007-1010.
  • [5] K. Cherri and M. S. Alam, Parallel computation of complex elementary functions using quaternary signed-digit arithmetic, Optics & Laser Technology 32 (2000), 391-399.
  • [6] C. Park and H. J. Kang, Digital filter synthesis based on an algorithm to generate all minimal signed digit representations, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 21 (2002), 1525-1529.
  • [7] Moskal, E. Oruklu and J. Saniie, Design and synthesis of a carry-free signed-digit decimal adder, IEEE International Symposium on Circuits and Systems (2007), 1089-1092.
  • [8] C. Kuo, C. C. Wang and H. C. Hou, Signed-digit data hiding scheme, Information Processing Letters 116 (2016), 183-191.
  • [9] Meiring, Base 3 numeration system requiring a negative digit, Ohio Journal of School Mathematics 87 (2021), 8-12.
  • Kalapodi, The decimal representation of real numbers, International Journal of Mathematical Education in Science and Technology 41 (2010) 889-900.
  • http://compoasso.free.fr/primelistweb/page/prime/liste_online_en.php

Download all article in PDF

WSN 202 (2025) 308-317

ADVERTISEMENT

 

Tags: DivisibilityIntegersNegative Digits.Prime Numbers
ShareTweetPin
Next Post

A Systematic Review of Security, Privacy, and Compliance Challenges in Electronic Health Records: Current Practices and Future Directions

Trends and Challenges in Quantum Communications for Satellite Networks Trends and Challenges in Quantum Communications for Satellite Networks

View free articles

  • Open access

View Articles

  • 2013 (5)
    • Volume 1 (2013), pp. 1-14 (2)
    • Volume 2 (2013), pp. 1-29 (3)
  • 2014 (13)
    • Volume 3 (2014), pp. 1-21 (3)
    • Volume 4 (2014), pp. 1-16 (2)
    • Volume 5 (2014), pp. 1-36 (4)
    • Volume 6 (2014), pp. 1-23 (3)
  • 2015 (109)
    • Volume 10 (2015), pp. 1-100 (5)
    • Volume 11 (2015), pp. 1-96 (6)
    • Volume 12 (2015), pp. 1-76 (6)
    • Volume 13 (2015), pp. 1-130 (7)
    • Volume 14 (2015), pp. 1-55 (1)
    • Volume 15 (2015), pp. 1-25 (2)
    • Volume 16 (2015), pp. 1-158 (9)
    • Volume 17 (2015), pp. 1-63 (1)
    • Volume 18 (2015), pp. 1-127 (8)
    • Volume 19 (2015), pp. 1-111 (7)
    • Volume 20 (2015), pp. 1-336 (1)
    • Volume 21 (2015), pp. 1-89 (7)
    • Volume 22 (2015), pp. 1-119 (8)
    • Volume 23 (2015), pp. 1-127 (10)
    • Volume 24 (2015), pp. 1-87 (6)
    • Volume 7 (2015), pp. 1-237 (9)
    • Volume 8 (2015), pp. 1-203 (7)
    • Volume 9 (2015), pp. 1-160 (9)
  • 2016 (517)
    • Volume 25 (2016), pp. 1-16 (2)
    • Volume 26 (2016), pp. 1-19 (2)
    • Volume 27 (2016), pp. 1-16 (2)
    • Volume 28 (2016), pp. 1-100 (7)
    • Volume 29 (2016), pp. 1-95 (6)
    • Volume 30 (2016), pp. 1-142 (10)
    • Volume 31 (2016), pp. 1-124 (8)
    • Volume 32 (2016), pp. 1-81 (9)
    • Volume 33 (2016), pp. 1-121 (8)
    • Volume 34 (2016), pp. 1-145 (10)
    • Volume 35 (2016), pp. 1-133 (10)
    • Volume 36 (2016), pp. 1-152 (10)
    • Volume 37 (2016), pp. 1-303 (18)
    • Volume 38 (2016), pp. 1-59 (1)
    • Volume 39 (2016), pp. 1-30 (2)
    • Volume 40 (2016), pp. 1-299 (20)
    • Volume 41 (2016), pp. 1-287 (36)
    • Volume 42 (2016), pp. 1-316 (21)
    • Volume 43(1,2,3) (2016), pp. 1-157 (3)
      • Volume 43, Issue 1 (2016), pp. 1-55 (1)
      • Volume 43, Issue 2 (2016), pp. 56-103 (1)
      • Volume 43, Issue 3 (2016), pp. 104-157 (1)
    • Volume 44 (2016), pp. 1-301 (20)
    • Volume 45(1,2) (2016), pp. 1-383 (21)
      • Volume 45, Issue 1 (2016), pp. 1-62 (1)
      • Volume 45, Issue 2 (2016), pp. 63-383 (20)
    • Volume 46 (2016), pp. 1-286 (20)
    • Volume 47(1,2) (2016), pp. 1-350 (21)
      • Volume 47, Issue 1 (2016), pp. 1-61 (1)
      • Volume 47, Issue 2 (2016), pp. 62-350 (20)
    • Volume 48 (2016), pp. 1-163 (17)
    • Volume 49(1,2) (2016), pp. 1-404 (21)
      • Volume 49, Issue 1 (2016), pp. 1-58 (1)
      • Volume 49, Issue 2 (2016), pp. 59-404 (20)
    • Volume 50 (2016), pp. 1-316 (20)
    • Volume 51 (2016), pp. 1-71 (7)
    • Volume 52 (2016), pp. 1-275 (20)
    • Volume 53(1,2,3) (2016), pp. 1-429 (22)
      • Volume 53, Issue 1 (2016), pp. 1-66 (1)
      • Volume 53, Issue 2 (2016), pp. 67-109 (1)
      • Volume 53, Issue 3 (2016), pp. 110-429 (20)
    • Volume 54 (2016), pp. 1-299 (20)
    • Volume 55 (2016), pp. 1-288 (20)
    • Volume 56 (2015), pp. 1-266 (20)
    • Volume 57 (2016), pp. 1-570 (53)
    • Volume 58 (2016), pp. 1-161 (10)
    • Volume 59 (2016), pp. 1-128 (10)
    • Volume 60 (2016), pp. 1-120 (10)
  • 2017 (481)
    • Volume 61(1,2) (2017), pp. 1-194 (11)
      • Volume 61, Issue 1 (2017), pp. 1-51 (1)
      • Volume 61, Issue 2 (2017), pp. 52-194 (10)
    • Volume 62 (2017), pp. 1-146 (10)
    • Volume 63 (2017), pp. 1-240 (1)
    • Volume 64 (2017), pp. 1-140 (10)
    • Volume 65 (2017), pp. 1-175 (10)
    • Volume 66 (2017), pp. 1-300 (20)
    • Volume 67(1,2,) (2017), pp. 1-389 (21)
      • Volume 67, Issue 1 (2017), pp. 1-67 (1)
      • Volume 67, Issue 2 (2017), pp. 68-389 (20)
    • Volume 68 (2017), pp. 1-141 (1)
    • Volume 69 (2017), pp. 1-253 (20)
    • Volume 70(1,2) (2017), pp. 1-321 (21)
      • Volume 70, Issue 1 (2017), pp. 1-50 (1)
      • Volume 70, Issue 2 (2017), pp. 51-321 (20)
    • Volume 71 (2017), pp. 1-219 (18)
    • Volume 72 (2017), pp. 1-478 (46)
    • Volume 73 (2017), pp. 1-133 (15)
    • Volume 74 (2017), pp. 1-287 (20)
    • Volume 75 (2017), pp. 1-111 (12)
    • Volume 76 (2017), pp. 1-199 (20)
    • Volume 77(1,2) (2017), pp. 1-380 (21)
      • Volume 77, Issue 1 (2017), pp. 1-102 (1)
      • Volume 77, Issue 2 (2017), pp. 103-380 (20)
    • Volume 78 (2017), pp. 1-230 (24)
    • Volume 79 (2017), pp. 1-89 (1)
    • Volume 80 (2017), pp. 1-323 (20)
    • Volume 81(1,2) (2017), pp. 1-312 (21)
      • Volume 81, Issue 1 (2017), pp. 1-47 (1)
      • Volume 81, Issue 2 (2017), pp. 48-312 (20)
    • Volume 82 (2017), pp. 1-90 (1)
    • Volume 83 (2017), pp. 1-239 (20)
    • Volume 84 (2017), pp. 1-92 (1)
    • Volume 85 (2017), pp. 1-73 (10)
    • Volume 86(1,2,3) (2017), pp. 1-370 (22)
      • Volume 86, Issue 1 (2017), pp. 1-58 (1)
      • Volume 86, Issue 2 (2017), pp. 59-122 (1)
      • Volume 86, Issue 3 (2017), pp. 123-370 (20)
    • Volume 87 (2017), pp. 1-255 (20)
    • Volume 88(1,2) (2017), pp. 1-226 (11)
      • Volume 88, Issue 1 (2017), pp. 1-57 (1)
      • Volume 88, Issue 2 (2017), pp. 58-226 (10)
    • Volume 89 (2017), pp. 1-321 (33)
    • Volume 90 (2017), pp. 1-270 (20)
  • 2018 (486)
    • Volume 100 (2018), pp. 1-253 (20)
    • Volume 101 (2018), pp. 1-252 (20)
    • Volume 102 (2018), pp. 1-223 (20)
    • Volume 103 (2018), pp. 1-249 (18)
    • Volume 104 (2018), pp. 1-492 (40)
    • Volume 105 (2018), pp. 1-232 (20)
    • Volume 106 (2018), pp. 1-244 (20)
    • Volume 107 (2018), pp. 1-232 (20)
    • Volume 108 (2018), pp. 1-244 (20)
    • Volume 109 (2018), pp. 1-266 (19)
    • Volume 110 (2018), pp. 1-243 (20)
    • Volume 111 (2018), pp. 1-181 (17)
    • Volume 112 (2018), pp. 1-251 (20)
    • Volume 113 (2018), pp. 1-250 (26)
    • Volume 114 (2018), pp. 1-264 (20)
    • Volume 91 (2018), pp. 1-137 (10)
    • Volume 92(1,2) (2018), pp. 1-399 (21)
      • Volume 92, Issue 1 (2018), pp. 1-138 (1)
      • Volume 92, Issue 2 (2018), pp. 139-399 (20)
    • Volume 93 (2018), pp. 1-141 (15)
    • Volume 94(1,2) (2018), pp. 1-332 (21)
      • Volume 94, Issue 1 (2018), pp. 1-71 (1)
      • Volume 94, Issue 2 (2018), pp. 72-332 (20)
    • Volume 95 (2018), pp. 1-272 (20)
    • Volume 96 (2018), pp. 1-250 (20)
    • Volume 97 (2018), pp. 1-284 (20)
    • Volume 98 (2018), pp. 1-232 (20)
    • Volume 99 (2018), pp. 1-229 (19)
  • 2019 (467)
    • Volume 115 (2019), pp. 1-268 (20)
    • Volume 116 (2019), pp. 1-252 (19)
    • Volume 117 (2019), pp. 1-242 (20)
    • Volume 118 (2019), pp. 1-280 (20)
    • Volume 119 (2019), pp. 1-253 (20)
    • Volume 120(1,2) (2019), pp. 1-295 (21)
      • Volume 120, Issue 1 (2019), pp. 1-59 (1)
      • Volume 120, Issue 2 (2019), pp. 60-295 (20)
    • Volume 121 (2019), pp. 1-100 (13)
    • Volume 122 (2019), pp. 1-262 (20)
    • Volume 123 (2019), pp. 1-273 (20)
    • Volume 124(1,2) (2019), pp. 1-333 (21)
      • Volume 124, Issue 1 (2019), pp. 1-85 (1)
      • Volume 124, Issue 2 (2019), pp. 86-1-333 (20)
    • Volume 125 (2019), pp. 1-259 (20)
    • Volume 126 (2019), pp. 1-298 (20)
    • Volume 127(1,2,3) (2019), pp. 1-376 (22)
      • Volume 127, Issue 1 (2019), pp. 1-55 (1)
      • Volume 127, Issue 2 (2019), pp. 56-105 (1)
      • Volume 127, Issue 3 (2019), pp. 106-376 (20)
    • Volume 128(1,2) (2019), pp. 1-432 (21)
      • Volume 128, Issue 1 (2019), pp. 1-70 (1)
      • Volume 128, Issue 2 (2019), pp. 71-432 (20)
    • Volume 129 (2019), pp. 1-267 (20)
    • Volume 130 (2019), pp. 1-308 (20)
    • Volume 131 (2019), pp. 1-288 (20)
    • Volume 132 (2019), pp. 1-312 (24)
    • Volume 133 (2019), pp. 1-274 (20)
    • Volume 134(1,2) (2020), pp. 1-338 (21)
      • Volume 134, Issue 1 (2019), pp. 1-51 (1)
      • Volume 134, Issue 2 (2019), pp. 52-338 (20)
    • Volume 135 (2019), pp. 1-298 (22)
    • Volume 136 (2019), pp. 1-246 (16)
    • Volume 137 (2019), pp. 1-236 (14)
    • Volume 138(1,2) (2019), pp. 1-294 (13)
      • Volume 138, Issue 1 (2019), pp. 1-64 (1)
      • Volume 138, Issue 2 (2019), pp. 65-294 (12)
  • 2020 (179)
    • Volume 139(1,2) (2020), pp. 1-258 (13)
      • Volume 139, Issue 1 (2020), pp. 1-60 (1)
      • Volume 139, Issue 2 (2020), pp. 61-258 (12)
    • Volume 140 (2020), pp. 1-184 (10)
    • Volume 141 (2020), pp. 1-155 (10)
    • Volume 142 (2020), pp. 1-194 (12)
    • Volume 143 (2020), pp. 1-261 (16)
    • Volume 144 (2020), pp. 1-449 (30)
    • Volume 145 (2020), pp. 1-408 (30)
    • Volume 146 (2020), pp. 1-289 (18)
    • Volume 147 (2020), pp. 1-208 (12)
    • Volume 148 (2020), pp. 1-121 (8)
    • Volume 149 (2020), pp. 1-165 (10)
    • Volume 150 (2020), pp. 1-181 (10)
  • 2021 (143)
    • Volume 151 (2021), pp. 1-122 (8)
    • Volume 152 (2021), pp. 1-125 (8)
    • Volume 153(1,2) (2021), pp. 1-215 (13)
      • Volume 153, Issue 1 (2021), pp. 1-42 (1)
      • Volume 153, Issue 2 (2021), pp. 43-215 (12)
    • Volume 154 (2021), pp. 1-174 (10)
    • Volume 155 (2021), pp. 1-154 (10)
    • Volume 156 (2021), pp. 1-191 (12)
    • Volume 157 (2021), pp. 1-188 (10)
    • Volume 158 (2021), pp. 1-298 (16)
    • Volume 159 (2021), pp. 1-223 (14)
    • Volume 160 (2021), pp. 1-337 (20)
    • Volume 161 (2021), pp. 1-156 (10)
    • Volume 162 (2021), pp. 1-178 (12)
  • 2022 (125)
    • Volume 163 (2022), pp. 1-157 (8)
    • Volume 164 (2022), pp. 1-149 (8)
    • Volume 165 (2022), pp. 1-209 (12)
    • Volume 166 (2022), pp. 1-145 (10)
    • Volume 167 (2022), pp. 1-161 (9)
    • Volume 168 (2022), pp. 1-146 (10)
    • Volume 169 (2022), pp. 1-201 (10)
    • Volume 170 (2022), pp. 1-171 (10)
    • Volume 171 (2022), pp. 1-125 (8)
    • Volume 172 (2022), pp. 1-333 (20)
    • Volume 173 (2022), pp. 1-161 (10)
    • Volume 174 (2022), pp. 1-176 (10)
  • 2023 (132)
    • Volume 175 (2023), pp. 1-108 (8)
    • Volume 176 (2023), pp. 1-174 (10)
    • Volume 177 (2023), pp. 1-136 (8)
    • Volume 178 (2023), pp. 1-165 (10)
    • Volume 179 (2023), pp. 1-164 (10)
    • Volume 180 (2023), pp. 1-162 (12)
    • Volume 181 (2023), pp. 1-215 (12)
    • Volume 182 (2023), pp. 1-265 (18)
    • Volume 183 (2023), pp. 1-226 (14)
    • Volume 184 (2023), pp. 1-154 (10)
    • Volume 185 (2023), pp. 1-191 (10)
    • Volume 186 (2023), pp. 1-160 (10)
  • 2024 (183)
    • Volume 187 (2024), pp. 1-156 (10)
    • Volume 188 (2024), pp. 1-197 (12)
    • Volume 189 (2024), pp. 1-310 (20)
    • Volume 190(1,2) (2024), pp. 1-351 (18)
      • Volume 190, Issue 1 (2024), pp. 1-69 (1)
      • Volume 190, Issue 2 (2024), pp. 70-351 (17)
    • Volume 191 (2024), pp. 1-207 (12)
    • Volume 192 (2024), pp. 1-319 (20)
    • Volume 193(1,2) (2024), pp. 1-252 (13)
      • Volume 193, Issue 1 (2024), pp. 1-45 (1)
      • Volume 193, Issue 2 (2024), pp. 46-252 (12)
    • Volume 194 (2024), pp. 1-213 (13)
    • Volume 195 (2024), pp. 1-235 (13)
    • Volume 196 (2024), pp. 1-221 (14)
    • Volume 197 (2024), pp. 1-231 (15)
    • Volume 198 (2024), pp. 1-402 (23)
  • 2025 (169)
    • Volume 199 (2025), pp. 1-253 (16)
    • Volume 200 (2025), pp. 1-223 (14)
    • Volume 201 (2025), pp. 1-245 (12)
    • Volume 202 (2025), pp. 1-317 (17)
    • Volume 203 (2025), pp. 1-438 (15)
    • Volume 204 (2025), pp. 1-353 (19)
    • Volume 205 (2025), pp. 1-272 (16)
    • Volume 206 (2025), pp. 1-172 (13)
    • Volume 207 (2025), pp. 1-173 (12)
    • Volume 208 (2025), pp. 1-174 (11)
    • Volume 209 (2025), pp. 1-184 (12)
    • Volume 210 (2025), pp. 1-158 (12)
  • 2026 (21)
    • Volume 211 (2026), pp. (21)
  • Info (6)
  • News (3)
  • Open access (460)
  • Premium (38)

Last Articles

  • All
  • Premium
  • Open access

A Synthesis and Mesophase behaviour of Homologous Series: 4-(((4-acetylphenyl)imino)methyl)-3-methoxyphenyl3-(4-(alkyloxy)phenyl)acrylate

2025-07-13

Creative Use of Internet Memes in Advertising

2024-01-29

Synthesis, spectral characterization and biological activity studies of Schiff’s base of 1,5-dimethyl-2-phenyl-2,3-dihydro-1H-pyrazol-4-amine and its metal complexes

2024-01-15

Popular Articles

  • About Us

    About Us

    0 shares
    Share 0 Tweet 0

  • Submit your Article

    0 shares
    Share 0 Tweet 0

  • Jeevamrut – A Natural Fertilizer

    0 shares
    Share 0 Tweet 0

  • Abstracting & Indexing

    0 shares
    Share 0 Tweet 0

  • Guide for Authors

    0 shares
    Share 0 Tweet 0

Careers

  • All
  • Careers
No Content Available
World Scientific News

World Scientific News (WSN) is an open-access fully peer-reviewed scholarly journal. The monthly – interdisciplinary journal is directed in the first place to scientists who want to publish their findings, insights, observations, conclusions, etc.

READ MORE

Menu

  • Home
  • About Us
  • Editorial Board
  • Guide for Authors
  • Instruction for Authors
  • Abstracting & Indexing
  • Submit your Article
  • Careers
  • News

Other databases

AGRO
CAS
Google Scholar
Google Scholar Metrics
ICZN
ProQuest
Road Directory
ZooBank

EISSN 2392-2192

Login / Register
Privacy Policy
Cookie Policy

made by fixfix

No Result
View All Result
  • Home
  • About
    • About Us
    • Editorial Board
    • Guide for Authors
    • Abstracting & Indexing
    • Instruction for Authors
    • Submit your Article
  • View Articles
    • 2026
    • 2025
    • 2024
    • 2023
    • 2022
    • 2021
    • 2020
    • 2019
    • 2018
    • 2017
    • 2016
    • 2015
    • 2014
    • 2013
  • Careers
  • News

made by fixfix

Welcome Back!

Login to your account below

Forgotten Password?

Retrieve your password

Please enter your username or email address to reset your password.

Log In
Are you sure want to unlock this post?
Unlock left : 0
Are you sure want to cancel subscription?
We use cookies to ensure that we give you the best experience on our website. If you continue to use this site we will assume that you are happy with it.