ICT101: Discrete Mathematics for IT - Function and Computing

This report examines the role of Discrete Mathematics (DM) within Information Technology (IT), focusing on the application of 'function and computing' (FC). It begins with an introduction to DM and its relevance to IT, emphasizing its use in analyzing dynamic real-world phenomena and its application in various IT domains, including hardware and software development. The report then delves into the core concepts of FC in the context of IT, highlighting its importance in processing, managing, and communicating information, along with its relation to key disciplines such as computer science and software engineering. A literature review supports the discussion, referencing several academic articles to explore the application of FC. Furthermore, the report identifies Quantum Computing (QC) as a specific application of FC in IT, discussing how QC leverages quantum mechanics for information processing and its potential in scientific research. The conclusion summarizes the applications of DM for IT, emphasizing the significance of FC in making IT more efficient.

Running Head: DISCRETE MATHEMATICS
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ICT 101 Discrete Mathematics for IT
Function and Computing for IT
(Student Details: )
12/29/2019

DISCRETE MATHEMATICS
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Contents
Introduction...............................................................................................................................2
Discrete Mathematics for IT.......................................................................................................2
Application of FC in IT............................................................................................................2
Conclusion..................................................................................................................................3
References..................................................................................................................................4

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Introduction
This report is focused on identifying and exploring the role of Discrete Mathematics (DM) in the field
of Information Technology (IT). In general, DM is the study of mathematical structures. These
mathematical structures are typically discrete rather than continuous. The topic is chosen because
DM offers excellent tools and models in order to analyse real-time phenomena which change
drastically. In addition, DM can be used for IT as it is the tool of choice into a host of apps, ranging
from computers to telephone calls routing. Specifically, the ‘function and computing’ (FC) has been
chosen for exploring the uses of DM in IT. Therefore, this paper is going to review the relevant
literature while identifying one application of FC in IT (Svensson, 2016). In addition, the role of FC in
DM is going to be explored with the help of detailed literature review of credible academic articles.
Discrete Mathematics for IT
In this context, FC can be referred to as an activity that uses computers to process, manage, arrange
as well as communicate useful and important information. Here, FC includes the development and
growth of both software and hardware (Rosen and Krithivasan, 2012). Moreover, in DM, computing is
an integral component of modern industrial technology which is critically important. As mentioned
by (Epp, 2010), some key FC disciplines are IT, Information systems, software engineering, computer
engineering, and computer science. For information technology, FC can be defined as a means to
carry out goal-oriented activity needing, profiting from, and creating computers (Rosen and
Krithivasan, 2012). In this way, while using FC for IT, it can be used for designing as well as building
software and hardware systems for a variety of processes. It is because IT can easily be used for
managing structuring, processing and thereby utilising many kinds of info and data (Svensson, 2016).
In IT, DM can be used for doing scientific studies by using computers and FC while making computer
systems behave intelligently and efficiently. It has been found that FC is highly useful for IT with the
help of creating as well as utilising entertainment media and communications. According to (Liben-
Nowell, 2018), major functions such as finding; collecting and integrating information are highly
flexible in relation to a particular purpose (Svensson, 2016).
In addition to that, while talking about DM for IT, then it is having so many applications in IT.
Moreover, IT is the application of telecommunication and computer equipment for further storing,
retrieving, transmitting and thereby manipulating data majorly in the context of an enterprise and a
modern business (Raykova and Boev, 2018). Besides, computing and functions can always be used
effectively for discrete mathematics applications for the betterment of the society. According to
(Svensson, 2016), humanity can be revolutionized while using FC tactics for further technological
developments and innovation. If we talk about digital humanities, then functions and computing has
a great role in the context of human societies’ revolution. Thus, functions and computing make
complex tasks within human communities simpler and easier.
FC enables various IT functions and operations as computing and logics are used with computer
networks and computers however it also incorporates most of the information distribution
technologies like telephones and television. According to (Raykova and Boev, 2018), there are so
many industries that are associated with IT, like computer electronics, software, hardware, internet,
semiconductors, e-commerce, telecom equipment and computer services. In the field of IT,
functions and computing can be used for research and emerging technologies (Soomro et. al., 2016).
For example, key computing types such as quantum computing, DNA-based computing, cloud
computing, and many more are revolutionizing the whole IT field (Liben-Nowell, 2018).

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Application of FC in IT
This section is dedicated to identifying one specific application of FC into IT. In this context, Quantum
Computing (QC) is a specific area of research that brings together various disciplines of information
theory, quantum physics and computer science. While applying FC into IT, there seems to be a
strong tie amid quantum mechanics and information theory. It has been found that conventional
computing operates over a binary system of zeros and ones, as well as quantum computing utilised
qubits (Soomro et. al., 2016). In addition to that, QC is necessarily exploiting as well as harnessing the
unique and important laws of quantum mechanics for processing information and useful data
(Raykova and Boev, 2018).
FC has an application in IT in the form of QC as such traits of qubits are called quantum
entanglement and hence it is the key idea of quantum computing which allows quantum computers
to execute the huge-scale equations they often used for (Liben-Nowell, 2018). Apart from this, QC is
typically used for scientific research in which normal computer does not possess enough
computational power for doing the necessary calculations efficiently. For example, molecular
modeling effectively demonstrates an application of FC in the field of IT (Raykova and Boev, 2018).
Here, big molecules are complex for especially advanced computers for further calculating what
occurs during a reaction however the quantum computers’ power could easily open the doors for
further understanding quantum molecules with FC and thereby DM (Liben-Nowell, 2018). With the
help of computing and algorithms, one can solve as well as compute difficult tasks while using
discrete mathematics techniques.
Conclusion
In whole, this research report has successfully explored a specific area of DM with the help of
researching ‘Function and Computing’. The research on the topic of DM for IT has shown various
applications of the discrete mathematics in information technology. Moreover, different
perspectives of using discrete mathematics for evolving information technology have been discussed
successfully. Apart from this, the role and importance of discrete mathematics have been identified
for the case of ‘function and computing’ for IT. Therefore, DM applications can be effectively used
for IT revolution and development in future. In this way, modern computing technologies like cloud
computing is utilising DM functions and computing tactics for making businesses and humanity
growth more efficient. This report has found that with function and computing makes IT using
computers for storing, retrieving, transmitting, and manipulating information and data in an
effective manner.

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References
Epp, S.S., 2010. Discrete mathematics with applications. Cengage learning.
Liben-Nowell, D., 2018. Discrete Mathematics for Computer Science. Wiley.
McCarty, W., 2014. Humanities computing. UK: Palgrave Macmillan.
Raykova, M. and Boev, S., 2018. How to improve teaching in discrete mathematics via programming and vice
versa. Computer Science and Education in Computer Science, pp.211-228.
Rosen, K.H. and Krithivasan, K., 2012. Discrete mathematics and its applications: with combinatorics and graph
theory. Tata McGraw-Hill Education.
Soomro, Z.A., Shah, M.H. and Ahmed, J., 2016. Information security management needs more holistic
approach: A literature review. International Journal of Information Management, 36(2), pp.215-225.
Svensson, P., 2016. Humanities computing as digital humanities. In Defining Digital Humanities (pp. 175-202).
Routledge.