Review of Number systems - Logic gates - Boolean
algebra - Boolean postulates and laws - De-Morgan’s
Theorem, Principle of Duality - Simplification using
Boolean algebra - Canonical forms, Sum of product and
Product of sum - Minimization using Karnaugh map -
NAND and NOR Implementation.
Review of Number systems - Logic gates - Boolean
algebra - Boolean postulates and laws - De-Morgan’s
Theorem, Principle of Duality - Simplification using
Boolean algebra - Canonical forms, Sum of product and
Product of sum - Minimization using Karnaugh map -
NAND and NOR Implementation.
there are different number system such as binary, decimal, octal and hexadecimal. binary has 2 digits 0 & 1. decimal has 0 to 9 digits. octal has 0 to 7 digits. and hexadecimal number system has 0 to 9 digits and 10 to 15 are denoted by alphabets. such as A=10, B=11 etc.
Number systems - Efficiency of number system, Decimal, Binary, Octal, Hexadecimalconversion
from one to another- Binary addition, subtraction, multiplication and division,
representation of signed numbers, addition and subtraction using 2’s complement and I’s
complement.
Binary codes - BCD code, Excess 3 code, Gray code, Alphanumeric code, Error detection
codes, Error correcting code.Deepak john,SJCET-Pala
A digital system can understand positional number system only where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.
there are different number system such as binary, decimal, octal and hexadecimal. binary has 2 digits 0 & 1. decimal has 0 to 9 digits. octal has 0 to 7 digits. and hexadecimal number system has 0 to 9 digits and 10 to 15 are denoted by alphabets. such as A=10, B=11 etc.
Number systems - Efficiency of number system, Decimal, Binary, Octal, Hexadecimalconversion
from one to another- Binary addition, subtraction, multiplication and division,
representation of signed numbers, addition and subtraction using 2’s complement and I’s
complement.
Binary codes - BCD code, Excess 3 code, Gray code, Alphanumeric code, Error detection
codes, Error correcting code.Deepak john,SJCET-Pala
A digital system can understand positional number system only where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.
Python- Creating Dictionary,
Accessing and Modifying key: value Pairs in Dictionaries
Built-In Functions used on Dictionaries,
Dictionary Methods
Removing items from dictionary
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
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Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
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2. MEMORY STRUCTURE
Bit (Binary Digit) – A binary digit is logical 0 and 1
Nibble- A group of 4 bits
Byte – A group of 8 bits
Word - A group of fixed number of bits processed as a unit
- varies from computer to computer
By grouping bits together we can store more values
• 8 bits = 1 byte
• 16 bits = 2 bytes = 1 halfword
• 32 bits = 4 bytes = 1 word
4. NUMBER SYSTEM
Decimal (base-10) number system
• We have symbols (digits) that can represent ten integer values: 0, 1, 2, 3, 4, 5, 6, 7, 8,
9
• We represent integer values larger than 9 with combinations of two or more digits,
e.g.: 10, 11, 12, ..., 112, ..., 247
e.g.: 247
= (7 x 100 ) + (4 x 101 ) + (2 x 102 )
2 is the Most Significant Digit
7 is the Least Significant Digit
5. NUMBER SYSTEM
Binary (Base 2) Number system
• Computer systems store information electronically using bits (binary digits)
• Each bit can be in one of two states, which we can take to represent the binary (base-2)
digits 0 and 1
• The binary number system is a natural number system for computing (rather than the
decimal system)
• Using a single bit, we can represent integer values 0 and 1
• Using two bits, we can represent 0, 1, 10, 11
6. NUMBER CONVERSION
• Binary to Decimal Conversion
100101 = (1 x 20 ) +
(0 x 21 ) + LSB - Least Significant Bit
MSB LSB (1 x 22 ) + MSB – Most Significant Bit
(0 x 23 ) +
(0 x 24 ) +
(1 x 25 ) +
= 37 (100101)2 = (37)10
7. • Binary fraction to Decimal Conversion
NUMBER CONVERSION
11001.11
decimal part 11001= fractional part .11 =
( 1 x 20 ) = 1+ (1 x 2 -1 ) + = 0.50 +
( 0 x 21 ) = 0+ (1 x 2 -2 ) = 0.25
( 0 x 22 ) = 0 +
( 1x 23 ) = 8 + = .75
( 1 x 24 ) = 16
= 25
(11001.11)2 = (25.75)10