Custom Search
Feedback ? Send it to admin@fullchipdesign.com or join me at fullchip@gmail.com
Chip Designing for ASIC/ FPGA Design engineers and Students
FULLCHIPDESIGN
Digital-logic Design... Dream for many students… start learning front-end…
Topics @TYH :- 4G LTE Tutorial, Inside Smart-Phone , Cloud Computing
Answers
Example 1:-
F = xy + x’y + xy’
From Theorem T1
= xy + xy + x’y + xy’
= y(x + x’) + x(y + y’)
From Postulate P3
Example 2:-
F = x + x’y
From Postulate P8
= (x + x’)(x + y)
From Postulate P3
F = x + y
Example 3:-
F = (x + y)(x +y’)
From Postulate P8
= x + yy’
From Postulate P4
= x
Example 4:-
F = xy + x’z + yz
From Postulate P3
= xy + x’z + xyz + x’yz
= xy(1 + z) + x’z(1 + y)
= xy + x’z
Example 5:-
F = xyz + x’y + xyz’
= xyz + x’yz + x’yz’ + xyz’
= yz + yz’
= y
Simplify following Boolean Functions:
Exercise :-
1. F = xy + x’y + xy’
2. F = x + x’y
3. F = (x + y)(x +y’)
4. F = xy + x’z + yz
5. F = xyz + x’y + xyz’
= y + x
Digital Logic fundamentals topics @ fcd
Digital basics tutorial
Binary number discussion, 1 and 2 complement discussion,
Binary arithmetic, Signed Magnitude, overflow, examples
Gray coding, Binary coded digital (BCD) coding, BCD addition
Digital logic gates basic (AND, OR, XOR, NOT) and derived (NAND, NOR and XNOR). Drive XOR from NAND gates. Drive XOR from NOR gates
Discussion of Boolean Algebra with examples.
Duality Principle, Huntington Postulates, Theorems of Boolean Algebra - discussion with examples,
Boolean Functions,
Canonical and Standard Forms, Minterms and Maxterms
Sum of Minterms, Product of Maxterms or Canonical Forms,
Karnaugh map or K-map discussion 2, 3, ,4 and 5 var’s
Prime Implicant and Gate level minimization examples.
Digital basics tutorial
Binary number discussion, 1 and 2 complement discussion,
Binary arithmetic, Signed Magnitude, overflow, examples
Gray coding, Binary coded digital (BCD) coding, BCD addition
Digital logic gates basic (AND, OR, XOR, NOT) and derived (NAND, NOR and XNOR). Drive XOR from NAND gates. Drive XOR from NOR gates
Discussion of Boolean Algebra with examples.
Duality Principle, Huntington Postulates, Theorems of Boolean Algebra -
Canonical and Standard Forms, Minterms and Maxterms
Sum of Minterms, Product of Maxterms or Canonical Forms,
Karnaugh map or K-
Prime Implicant and Gate level minimization examples.