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% Your document starts here!
\begin{document}
% Define document title and author
\title{Study truth table of Half Subtractor using Aim-Spice}
\author{Sunil P Nagare TE EXTC ROLL NO. 38}
\thanks{Advisor: Reena Sonsukare Madam}
\markboth{VLSI design Mini Project}{}
\maketitle
% Write abstract here
\begin{abstract}
The truth table of half subtractor is studied by using aims-spice software. The output of half subtracor is subtraction and borrow. The circuit for both subtraction and borrow is separately designed .
\end{abstract}
% Each section begins with a \section{title} command
\section{Introduction}
% \PARstart{}{} creates a tall first letter for this first paragraph
\PARstart{T}{he} Subtractor circuits take two binary numbers as input and subtract one binary number input from the other binary number input. Similar to adders, it gives out two outputs, difference and borrow (carry-in the case of Adder). There are two types of subtractors.
The half-subtractor is a combinational circuit which is used to perform subtraction of two bits. It has two inputs, X (minuend) and Y (subtrahend) and two outputs D (difference) and B (borrow).
An important point worth mentioning is that the half substractor diagram aside implements (b-a) and not (a-b) as borrow is calculated from equation
% Main Part
\section{Main Part}
% LaTeX takes complete care of your document layout ...
% ... but you can insert a line break manually with two backslashes, if needed: \\
Truth Table:-
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{66_Truth_Table_no_1}
% Create a subtitle for the figure.
\caption{Truth Table of half subtractor}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
\section{Equation}
{By Using K-map for subtraction and borrow :-
}
{DIFFRENCE = A'.B + A.B'
}
{BORROW = A'.B}
{ The fig. of half subtractor's subtraction and borrow is
show in fig2
}
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{sub}
% Create }
\caption{K-map for subtraction and borrow.}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
% You can cite a book or paper by using \cite{reference}.
% The references will be defined at the end of this .tex file in the bibliography
% Main Part
\section{Logic diagram}
% LaTeX takes complete care of your document layout ...
% ... but you can insert a line break manually with two backslashes, if needed: \\
{Logic diagram of half subtractor}
{The fig. of half subtractor is shown in fig3 }
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{exor}
% Create a subtitle for the figure.
\caption{Logic diagram of half subtractor}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
% Main Part
\section{Cmos Circuit}
% LaTeX takes complete care of your document layout ...
% ... but you can insert a line break manually with two backslashes, if needed: \\
CMOS diagram of exor output
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{CKT}
% Create a subtitle for the figure.
\caption{Cmos diagram of half subtractor exor}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
CODE for exor:-
cmos exor
vdd 1 0 dc 2
va 2 0 dc 0.0 pulse(0 2 0 0 0 20ns 60ns)
vb 3 0 dc 0.0 pulse(0 2 0 0 0 30ns 60ns)
vc 4 0 dc 0.0 pulse(0 2 0 0 0 20ns 60ns)
vd 5 0 dc 0.0 pulse(0 2 0 0 0 20ns 60ns)
m1 6 2 1 1 mp l=4u w=8u
m2 8 3 6 1 mp1 l=4u w=8u
m3 7 4 1 1 mp2 l=4u w=4u
m4 8 5 7 1 mp3 l=4u w=8u
m5 8 5 9 0 mn l=4u w=4u
m6 9 3 0 0 mn1 l=4u w=4u
m7 8 4 10 0 mn2 l=4u w=4u
m8 10 2 0 0 mn3 l=4u w=4u
.model mp pmos
.model mp1 pmos
.model mp2 pmos
.model mp3 pmos
.model mn nmos
.model mn1 nmos
.model mn2 nmos
.model mn3 nmos
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{cmos_exor}
% Create a subtitle for the figure.
\caption{Transfer characteristics of exor}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{dc1}
% Create a subtitle for the figure.
\caption{DC characteristics of exor}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
CMOS diagram of borrow output
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{CKT1}
% Create a subtitle for the figure.
\caption{Cmos diagram of half subtractor borrow}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
CODE for borrow:-
cmos borrow
vdd 1 0 dc 2
va 2 0 dc 0.0 pulse(0 2 0 0 0 20ns 40ns)
vb 3 0 dc 0.0 pulse(0 2 0 0 0 20ns 40ns)
m1 4 2 1 1 mp l=4u w=8u
m2 5 3 4 1 mp1 l=4u w=8u
m3 5 2 0 0 mn l=4u w=4u
m4 5 3 0 0 mn1 l=4u w=4u
.model mp pmos
.model mp1 pmos
.model mn nmos
.model mn1 nmos
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{trb}
% Create a subtitle for the figure.
\caption{Transfer characteristics of borrow}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
\begin{figure}[!hbt]
% Center the figure.
\begin{center}
% Include the eps file, scale it such that it's width equals the column width. You can also put width=8cm for example...
\includegraphics[width=\columnwidth]{dc2}
% Create a subtitle for the figure.
\caption{DC characteristics of borrow}
% Define the label of the figure. It's good to use 'fig:title', so you know that the label belongs to a figure.
\label{fig:tf_plot}
\end{center}
\end{figure}
% If you have questions about how to write mathematical formulas in LaTeX, please read a LaTeX book or the 'Not So Short Introduction to LaTeX': tobi.oetiker.ch/lshort/lshort.pdf
% This is how you include a eps figure in your document. LaTeX only accepts EPS or TIFF files.
\section{Conclusion}
We concluded that truth table of half subtractor is implemented by Aim-Spice.The no change in rise time,fall time and propagation time delay to scaling.
% Now we need a bibliography:
\begin{thebibliography}{5}
%Each item starts with a \bibitem{reference} command and the details thereafter.
\bibitem{HOP96} % Transaction paper
http://www.aimspice.com/
\bibitem{MJH06} % Conference paper
'Design a Low Power Half-Subtractor Using .90μm CMOS Technology'IOSR Journal of VLSI and Signal Processing (IOSR-JVSP)
Volume 2, Issue 3 (May. – Jun. 2013), PP 51-56
e-ISSN: 2319 – 4200, p-ISSN No. : 2319 – 4197
\bibitem{MJH06} % Conference paper
'Design and Analysis of Power Efficient PTL Half Subtractor
Using 120nm Technology'International Journal of Computer Trends and Technology (IJCTT) – volume 7 number 4– Jan 2014
\bibitem{MJH06} % Conference paper
'Reduction of Leakage Power in Half- Subtractor using AVL Technique based on 45nm CMOS Technology'International Journal of Computer Applications (0975 – 8887)
Volume 111 – No 1, February 2015
\end{thebibliography}
% Your document ends here!
\end{document}