DIGITAL LOGIC DESIGN-NUMBER SYSTEMS TOPIC

DIGITAL LOGIC DESIGN

1. Digital Logic Design
(ECE1003)
Faculty
Dr. Rajasekhar N V
Associate Professor Senior
SENSE, VIT-AP University
Mail: [email protected]
Lecture-1
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2. Module-1
Number Systems and Boolean Algebra
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3. 1.Different Types of Number Systems
•Decimal : (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) ----→Base/Radix r =
•Binary: (0,1)----------------------------------→Base/Radix r =
•Octal: (0, 1, 2, 3, 4, 5, 6, 7)---------------→Base/Radix r =
•Hexadecimal: (0, 1, 2, 3, 4, 5,6,7,8,9,A,B,C,D,E,F) --→Base/Radix r =
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4. Decimal Number system :
•(0, 1, 2, 3, 4, 5, 6, 7, 8, 9) ----→Base/Radix r =10
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5. I. Any base number ( )r = ( )10
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6. 6

7. 7

8. 8
1. Convert (214.23)5 = ( )10
2. Convert (67.28)9 = ( )10
3. Convert (435.31)6 = ( )10
Practice Problems:

9. II. Conversion of any ( )10 N.S to ( )r N.S
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a.( Positive Integers)10 to ( )r N.S
b.( Fraction )10 to ( )r N.S
c.(Positive Integer . Fraction )10 to ( )r N.S

10. a.( Positive Integers)10 to ( )r N.S
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11. 11

12. 12

13. 13

14. 14
b. ( Fraction )10 to ( )r N.S

15. 15

16. 16

17. 17

18. Practice Problems
•(341.341)10 to ( )2
• ( )5
• ( )7
• ( )8
• ( )16
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19. 19
1.a) Binary -----→ Octal
1.b) Octal --------→ Binary

20. 20

21. 21

22. 22

23. 23
1.c) Binary -------------→ Hexadecimal
1.d) Hexadecimal -----→ Binary

24. 24
1.c) Binary -------------→ Hexadecimal
1.d) Hexadecimal -----→ Binary

25. 25

26. 1.(1010110110101.111010)2 to ( )16
2.(DA6F.ECA)16 to ( )2
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27. Practice Problems
•(1010110110101.111010)2 to ( )16 ,( )8
•(1110111101.101001)2 to ( )16 , ( )8
•(DA6F.ECA)16 to ( )2
•(BABA.CAFE)16 to ( )2
•(ABE6.C9FD)16 to ( )2
•(6243.542)8 to ( )2
•(5465.253)8 to ( )2
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