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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 6 Issue 7, November-December 2022 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD52400 | Volume – 6 | Issue – 7 | November-December 2022 Page 622
Dual, Digital Logic Gates for Enriching
Dhrumant Gajjar
Proprietor, Basil Education Group, Ahmedabad, Gujarat, India
ABSTRACT
In digital logic gates, there is need to introduce some vacant place of
logic gates for improvisation and numerous functions wise options
for better circuit designing and their logical operations, for reducing
logic time, for low usage of energy, to reduce work load over
components, and for better data encryption and decryption. In this
research paper introduction of vacant new digital logic gates have
been introduced for similar purpose.
How to cite this paper: Dhrumant Gajjar
"Dual, Digital Logic Gates for
Enriching" Published in International
Journal of Trend in
Scientific Research
and Development
(ijtsrd), ISSN:
2456-6470,
Volume-6 | Issue-7,
December 2022,
pp.622-624, URL:
www.ijtsrd.com/papers/ijtsrd52400.pdf
Copyright © 2022 by author (s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an
Open Access article
distributed under the
terms of the Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/by/4.0)
Let’s have an overview on present digital logic gates:
Logic Gate Description Boolean
AND
Output is at logic 1, when and only all its inputs are
at logic 1, otherwise output logic is 0.
X = (A * B)
OR
Output is at logic 1, when one or more of its inputs
are at logic 1, otherwise output logic is 0.
X = (A + B)
NAND
Output is at logic 1, when and only all its inputs are
at logic 0, otherwise output logic is 0.
X = (A * B)’
NOR
Output is at logic 1, when one or more of its inputs
are at logic 0, otherwise output logic is 0.
X = (A + B)’
XOR
Output is at logic 1, when one and only one of its
inputs are at logic 1, otherwise output logic is 0.
X = (A + B)
XNOR
Output is at logic 1, when one and only one of its
inputs are at logic 0, otherwise output logic is 0.
X = (A + B)’
NOT
Output is at logic 1, when inputs are at logic 0,
otherwise output logic is 0.
X = (A)’
Basic logic gates are basic fundamental gates for developing integrated circuits like microprocessor,
microcontroller and different multi-purpose IC’s and responsible for their operational performance and
parameters values.
IJTSRD52400
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD52400 | Volume – 6 | Issue – 7 | November-December 2022 Page 623
Let’s have an overview on vacant digital logic gates:
Logic Gate
(Names are given on
basis of assumptions)
Description Boolean
DO
Output is at logic 1, when and only all its inputs are at logic 1, and
Output is at logic infinitive (infinitive * 1), when inputs A are at
logic 1 and input B are at logic 0, otherwise output logic is 0.
X = (A / B)
DI
Output is at logic 1, when and only its inputs A are at logic 1 and
its input B are at logic 0, and Output is at logic -1, when
and only its inputs B are at logic 1 and its input A are at logic 0,
otherwise output logic is 0.
X = (A - B)
NDO
Output is at logic 0, when and only all its inputs are at logic 1, and
Output is at logic infinitive, when inputs A are at logic 0 and input
B are at logic 1, otherwise output logic is 1.
X = (A / B)’
NDI
Output is at logic -1 when and only its inputs A are at logic 1 and
its input B are at logic 0, and Output is at logic 1, when
and only its inputs B are at logic 1 and its input A are at logic 0,
otherwise output logic is 1.
X = (A - B)’
XDO
Output is at logic 1, when one of its inputs are at logic 1, and
Output is at logic infinitive (infinitive * 1), when inputs A are at
logic 1 or input B are at logic 0, otherwise output logic is 0.
X = (A / B)
XDI
Output is at logic 1, when its inputs A are at logic 1 or its input B
are at logic 0, and Output is at logic -1, when its inputs B are at
logic 1 or its input A are at logic 0, otherwise output logic is 0.
X = (A - B)
XNDO
Output is at logic 0, when one of its inputs are at logic 1, and
Output is at logic infinitive, when inputs A are at logic 1 or input
B are at logic 1, otherwise output logic is 1.
X = (A / B)’
XNDI
Output is at logic -1, when its inputs A are at logic 1 or its input B
are at logic 0, and Output is at logic 1, when its inputs B are at
logic 1 or its input A are at logic 0, otherwise output logic is 1.
X = (A - B)’
Proposed logic gates could improve basic fundamental gates for developing integrated circuits like
microprocessor, microcontroller and different multi-purpose IC’s and responsible for their operational
performance and parameters values.
Let’s have an overview on vacant digital logic
gates truth table:
Data table for DO logic gate:
DO A B Out
Case 1 0 0 0
Case 2 0 1 0
Case 3 1 0 infinitive
Case 4 1 1 1
Data table for DI logic gate:
DI A B Out
Case 1 0 0 0
Case 2 0 1 -1
Case 3 1 0 1
Case 4 1 1 0
Data table for NDO logic gate:
NDO A B Out
Case 1 0 0 1
Case 2 0 1 infinitive
Case 3 1 0 1
Case 4 1 1 0
Data table for NDI logic gate:
NDI A B Out
Case 1 0 0 1
Case 2 0 1 1
Case 3 1 0 -1
Case 4 1 1 1
Data table for XDO logic gate:
XDO A B Out
Case 1 0 0 0/infinitive
Case 2 0 1 1
Case 3 1 0 1/Infinitive
Case 4 1 1 1/infinitive
Data table for XDI logic gate:
XDI A B Out
Case 1 0 0 0/-1/1
Case 2 0 1 -1
Case 3 1 0 1
Case 4 1 1 0/-1/1
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD52400 | Volume – 6 | Issue – 7 | November-December 2022 Page 624
Data table for XNDO logic gate:
XNDO A B Out
Case 1 0 0 1
Case 2 0 1 0.infinitive
Case 3 1 0 0/infinitive
Case 4 1 1 0/infinitive
Data table for XNDI logic gate:
XNDI A B Out
Case 1 0 0 1/-1
Case 2 0 1 -1/1
Case 3 1 0 -1/1
Case 4 1 1 1/-1
Conclusion:
With the help of new logic gates design, there is ease
in new digital circuit logic process and also could be
very useful in time, material, function saving options
for logic developers. Apart from that ease in data
storage and analysis and multiple functions operation
facilities in microcontroller and microprocessor and
different electronic ICs.
References:
[1] DIGITAL LOGIC DESIGN, GTU, BY S.
SALIVAHANAN

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Dual, Digital Logic Gates for Enriching

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 6 Issue 7, November-December 2022 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD52400 | Volume – 6 | Issue – 7 | November-December 2022 Page 622 Dual, Digital Logic Gates for Enriching Dhrumant Gajjar Proprietor, Basil Education Group, Ahmedabad, Gujarat, India ABSTRACT In digital logic gates, there is need to introduce some vacant place of logic gates for improvisation and numerous functions wise options for better circuit designing and their logical operations, for reducing logic time, for low usage of energy, to reduce work load over components, and for better data encryption and decryption. In this research paper introduction of vacant new digital logic gates have been introduced for similar purpose. How to cite this paper: Dhrumant Gajjar "Dual, Digital Logic Gates for Enriching" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-7, December 2022, pp.622-624, URL: www.ijtsrd.com/papers/ijtsrd52400.pdf Copyright © 2022 by author (s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0) Let’s have an overview on present digital logic gates: Logic Gate Description Boolean AND Output is at logic 1, when and only all its inputs are at logic 1, otherwise output logic is 0. X = (A * B) OR Output is at logic 1, when one or more of its inputs are at logic 1, otherwise output logic is 0. X = (A + B) NAND Output is at logic 1, when and only all its inputs are at logic 0, otherwise output logic is 0. X = (A * B)’ NOR Output is at logic 1, when one or more of its inputs are at logic 0, otherwise output logic is 0. X = (A + B)’ XOR Output is at logic 1, when one and only one of its inputs are at logic 1, otherwise output logic is 0. X = (A + B) XNOR Output is at logic 1, when one and only one of its inputs are at logic 0, otherwise output logic is 0. X = (A + B)’ NOT Output is at logic 1, when inputs are at logic 0, otherwise output logic is 0. X = (A)’ Basic logic gates are basic fundamental gates for developing integrated circuits like microprocessor, microcontroller and different multi-purpose IC’s and responsible for their operational performance and parameters values. IJTSRD52400
  • 2. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD52400 | Volume – 6 | Issue – 7 | November-December 2022 Page 623 Let’s have an overview on vacant digital logic gates: Logic Gate (Names are given on basis of assumptions) Description Boolean DO Output is at logic 1, when and only all its inputs are at logic 1, and Output is at logic infinitive (infinitive * 1), when inputs A are at logic 1 and input B are at logic 0, otherwise output logic is 0. X = (A / B) DI Output is at logic 1, when and only its inputs A are at logic 1 and its input B are at logic 0, and Output is at logic -1, when and only its inputs B are at logic 1 and its input A are at logic 0, otherwise output logic is 0. X = (A - B) NDO Output is at logic 0, when and only all its inputs are at logic 1, and Output is at logic infinitive, when inputs A are at logic 0 and input B are at logic 1, otherwise output logic is 1. X = (A / B)’ NDI Output is at logic -1 when and only its inputs A are at logic 1 and its input B are at logic 0, and Output is at logic 1, when and only its inputs B are at logic 1 and its input A are at logic 0, otherwise output logic is 1. X = (A - B)’ XDO Output is at logic 1, when one of its inputs are at logic 1, and Output is at logic infinitive (infinitive * 1), when inputs A are at logic 1 or input B are at logic 0, otherwise output logic is 0. X = (A / B) XDI Output is at logic 1, when its inputs A are at logic 1 or its input B are at logic 0, and Output is at logic -1, when its inputs B are at logic 1 or its input A are at logic 0, otherwise output logic is 0. X = (A - B) XNDO Output is at logic 0, when one of its inputs are at logic 1, and Output is at logic infinitive, when inputs A are at logic 1 or input B are at logic 1, otherwise output logic is 1. X = (A / B)’ XNDI Output is at logic -1, when its inputs A are at logic 1 or its input B are at logic 0, and Output is at logic 1, when its inputs B are at logic 1 or its input A are at logic 0, otherwise output logic is 1. X = (A - B)’ Proposed logic gates could improve basic fundamental gates for developing integrated circuits like microprocessor, microcontroller and different multi-purpose IC’s and responsible for their operational performance and parameters values. Let’s have an overview on vacant digital logic gates truth table: Data table for DO logic gate: DO A B Out Case 1 0 0 0 Case 2 0 1 0 Case 3 1 0 infinitive Case 4 1 1 1 Data table for DI logic gate: DI A B Out Case 1 0 0 0 Case 2 0 1 -1 Case 3 1 0 1 Case 4 1 1 0 Data table for NDO logic gate: NDO A B Out Case 1 0 0 1 Case 2 0 1 infinitive Case 3 1 0 1 Case 4 1 1 0 Data table for NDI logic gate: NDI A B Out Case 1 0 0 1 Case 2 0 1 1 Case 3 1 0 -1 Case 4 1 1 1 Data table for XDO logic gate: XDO A B Out Case 1 0 0 0/infinitive Case 2 0 1 1 Case 3 1 0 1/Infinitive Case 4 1 1 1/infinitive Data table for XDI logic gate: XDI A B Out Case 1 0 0 0/-1/1 Case 2 0 1 -1 Case 3 1 0 1 Case 4 1 1 0/-1/1
  • 3. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD52400 | Volume – 6 | Issue – 7 | November-December 2022 Page 624 Data table for XNDO logic gate: XNDO A B Out Case 1 0 0 1 Case 2 0 1 0.infinitive Case 3 1 0 0/infinitive Case 4 1 1 0/infinitive Data table for XNDI logic gate: XNDI A B Out Case 1 0 0 1/-1 Case 2 0 1 -1/1 Case 3 1 0 -1/1 Case 4 1 1 1/-1 Conclusion: With the help of new logic gates design, there is ease in new digital circuit logic process and also could be very useful in time, material, function saving options for logic developers. Apart from that ease in data storage and analysis and multiple functions operation facilities in microcontroller and microprocessor and different electronic ICs. References: [1] DIGITAL LOGIC DESIGN, GTU, BY S. SALIVAHANAN