FHN_DLD_CASE_SU08
Binary Systems 1
Digital Logic Design
One
Binary Systems
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Binary Systems-Digital Logic Design-Lecture Slides, Slides of Digital Logic Design and Programming
This lecture is for Digital Logic Design course. It was delivered by Dr. Abjit Gill at Jaypee University of Engineering and Technology. It includes: Digital, Logic, Design, Binary, Systems, Analog, Digital, Temperature, Vision, Discrete, Voltage, Levels
Typology: Slides
2011/2012
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FHN_DLD_CASE_SU08Binary Systems
Digital Logic Design
One Binary Systemsdocsity.com
FHN_DLD_CASE_SU08Binary Systems
zAnalog system zDigital system
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FHN_DLD_CASE_SU08Binary Systems Digital System zUses discrete voltage levels to representthe signal zUsually two voltage levels: one near 0Vand other near some higher value like 5V
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FHN_DLD_CASE_SU08Binary Systems Number Systems zDecimal zBinary zOctal zHexadecimal
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FHN_DLD_CASE_SU08Binary Systems Conversion from base r to decimal
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FHN_DLD_CASE_SU08Binary Systems Decimal System z^ Radix or base 10 z^ 10 digits (0,1,2,…9) z^ Coefficients are multiplied by powers of 10 z^ Example:
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FHN_DLD_CASE_SU08Binary Systems Hexadecimal (base-16) to decimal system z^ Radix or base 16 z^ 16 digits (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F) z^ Coefficients are multiplied by powers of 16 z^ Example:
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FHN_DLD_CASE_SU08Binary Systems Binary (base-2) to decimal System z^ Radix or base 2 z^ 2 digits (0,1) z^ Coefficients are multiplied by powers of 2 z^ Example:
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FHN_DLD_CASE_SU08Binary Systems Conversion from decimal to base r
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FHN_DLD_CASE_SU08Binary Systems Convert Decimal to Binary (Integer Part) Example: 50^ (divide by 2)
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FHN_DLD_CASE_SU08Binary Systems Convert Decimal to Binary (Integer andfraction ) Example: Task: (41)^ to (bbbb)^10
2 (0.6875)^ to (bbbb)^10
2 (41.6875)^ to (bbbb)^10
2 (101001.1011) to (ddd)
(101001)^2 (0.1011)^2 (101001.1011)^2
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FHN_DLD_CASE_SU08Binary Systems Octal and hexadecimal numbers
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- Convert from Decimal to Octal and back z Example: (120)to (ooo)^10
- divide by
- (170)to (ddd)^8
- multiply by powers of
- (0.521)to (ooo)^10
- mulitply by
- (0.4126…)to (ddd)
- multiply by powers of
- divide by
- Convert from Decimal to Hexadecimaland back Example: (450)to (hhh)^10 FHN_DLD_CASE_SU08Binary Systems
- divide by
- (1C2)to (ddd)^16
- multiply by powers of
- (0.521)to (hhh)^10
- mulitply by
- (0.8560…)to (ddd)
- multiply by powers of
- divide by
FHN_DLD_CASE_SU08Binary Systems Why octal and hexadecimal ??^3 4 z^2 = 8 and 2^ =16 z3 digits required for octal z4 digits required for hexadecimal^ (10 110 001 101 011.111 100 000 110)
=(26153.7406)^28 2 6 1 5 3 7
4 0 6 (10 1100 0110 1011.1111 0000 0110)
=(2C6B.F06)^2 2 C^6 B^ F^
0 6