4-bit binary
multiplier
For Digital logic design
Muhammad Muzammil Ishaq
Wah-haaj Bin Zahid
Department of Computer Engineering
University of Lahore
Lahore, Pakistan
Muzammil.ishaq786@gmail.com
Department of Computer Engineering
University of Lahore
Lahore, Pakistan
Wahaj-zahid1996@outlook.com
Mamoona Bibi
Department of Computer Engineering
University of Lahore
Lahore, Pakistan
Memoona.ishaq786@gmail.com
Abstract—Our models represent a circuit , which can multiply
two binary numbers having four bits.
Index Terms Exclusive Or gate , and gate , full adder, Half adder
, Digital logic design , first semester project .
I. INTRODUCTION
Here we are 3 members, who made it very hardly.
First of all the circuit diagram was searched on the
Google. Then circuit was made on the breadboard by all three
members. Components were bought from the market known as
HALL ROAD. Report was made by MAMOONA and approved
by other two members. Website was made by MUZAMMIL
and WAHAJ. And circuit was designed by all three members.
Our circuit is a four bit binary multiplier .Which can
easily multiply two binary numbers having four bits. Binary
means in 0 and 1 form .After implement the circuit the results
was shown at LED'S .Because binary numbers are display on
LED's.
A. Block Diagram :
figure(1)
A. Hardware Components :
Three breadboards, resistors , Exclusive Or gates , And
gates, Power supply , LED's ,eight buttons .
B. Working
This circuit works when we supplied voltage using
components exclusive Or gate, And gate, Resistors ,LED's .
Here eight buttons A0,A1,A2,A3and B0,B1,B2,B3
.By copy work firstly B0 multiply with A0,A1,A2,A3then B1
multiply with all of these and so on. They will multiplied by
using and gates in sequence. After all multiplication the
answer will be add as: A0B0 as it is in ans.A1B0 and A0B1
will be add by half adder and carry out will be carry input in
next full adder and so on. Answers which named by us
(S0,S1,S2,S3,S4,S5,S6,S7,Carry)will displayed by LED's. By
pushing button 0 or 1 you can get multiplication of two binary
numbers. LED show 1 when ON and 0 when off .
C. Circuit Diagram
figure (2)
REFERENCES
And gate :And gate is use to multiply two binary numbers. A HIGH output
(1) results only if both the inputs to the AND gate are HIGH
(1).Its equation is if output is Y,
Y=A.B (1)
1.
Block diagram :
https://www.google.com.pk/?gws_rd=cr&ei=9mKMVeyKNN
C6uATfxoGIDg#q=4+bit+binary+multiplier+circuit
2.
Circuit Diagram :
M.Muzammil Ishaq
And gate:
https://www.google.com.pk/?gws_rd=cr&ei=iGGMVf
W-JuPYyAOgibXYBg#q=7408%20ic
Xor gate:
https://www.google.com.pk/?gws_rd=cr&ei=gmKMVZ
fMIc2hugTWy4G4AQ#q=7486+ic
Or gate:
https://www.google.com.pk/?gws_rd=cr&ei=9mKMVe
yKNNC6uATfxoGIDg#q=7432ic
3.
Exclusive Or gate :4.
It is a logic gate in which the output is true if the inputs are not
alike otherwise the output is false. Equation will be
5.
Y= A'B+AB' (1)
Or gate:It is the logic gate which is use to add two binary numbers.n
output will be false when inputs will be high i-e 1.
Y=A+B (1)
IV. RESULTS
First of all we make the circuit diagram and implement on the
multisim firstly it was not working correctly, then we makes
changes and implement again, and this time it was also not
working. So we decided to contact our most respectful teacher
'assistant professor sir AHMAD BILAL'. Who helped us and give
us a great knowledge about it, and now it is working correctly.
Then we went to HALL road for buying the components. But
there was some troubles in buying the HALF and FULL adder
IC's, these IC's were not available in market, so we made HALF
and FULL adder itself by using AND,XOR and OR gate IC's.
After buying all components implement it on the breadboard,
and connect it with the "Digital Logic Design Trainer". Now it
gives output of multiplication.
V. cost:Quantity
Name
Ic no.
Price
9
AND gate
7408
405/-
4
XOR gate
7486
300/-
2
OR gate
7432
90/-
3
Bread Board
//
390/-
8
DP Switch
//
20/-
8
LED’s
//
25/-
Total Coast:
1230/ACKNOWLEDGMENT
We give SPEACIAL THANKS to our respectful teacher sir
AHMAD BILAL who helped us when we were in the worst
situation.