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Digital Arithmetic Operations and Ci i Circuits Copyright © 2008 by Muhammad A M Islam SBE 202 Electronic Devices and Systems 1

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Page 1: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Digital Arithmetic Operations and Ci iCircuits

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 1

Page 2: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Binary Additiony

Binary Addition

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 2

Page 3: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Representing Signed Numbersg g

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 3

Page 4: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Addition in 2’s Complement System

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 4

Page 5: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Subtraction in 2’s Complement System

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 5

Page 6: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Multiplication of Binary yNumbers

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 6

Page 7: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Binary Division

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 7

Page 8: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

BCD Addition

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 8

Page 9: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Hexadecimal Arithmetic

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 9

Page 10: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Arithmetic Circuits

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 10

Page 11: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Parallel Binary Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 11

Page 12: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Parallel Binary Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 12

Page 13: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Design of a Full Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 13

Page 14: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Design of a Full Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 14

Page 15: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Complete Parallel Adder with Registers

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 15

Page 16: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Complete Parallel Adder with Registers

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 16

Page 17: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Carry Propagation

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 17

Page 18: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Integrated Circuit Parallel Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 18

Page 19: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Integrated Circuit Parallel Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 19

Page 20: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Integrated Circuit Parallel Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 20

Page 21: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

2’s Complement System

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 21

Page 22: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

Combined Addition and Subtraction

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 22

Page 23: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

BCD Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 23

Page 24: Digital Arithmetic Operations and Ci iCircuits - UniMasr Microsoft PowerPoint - Tocci Ch 6 Digital Arithmetic Operations and Circuits Author: M Islam Created Date: 5/4/2008 10:44:54

BCD Adder

Copyright © 2008 by Muhammad A M IslamSBE 202 Electronic Devices and Systems 24