Illustrate design of combinational circuits, Computer Engineering

The digital circuits that we use now-a-days are constructed with NOR or NAND gates in place of AND-OR-NOT gates. NOR & NAND gates are known as Universal Gates as we can realize any digital system with these gates. To prove this point we are required to only show the basic gates: AND, OR & NOT may be realized with either just NAND or with just NOR gate. This is displayed in figure below:

1073_Illustrate Design of combinational circuits.png

Figure:  Basic Logic Operations with NAND and NOR gates

Any Boolean expression can be realized with NAND gates by realizing function in sum of product form.

Illustration: Consider function F (A, B, C) = Σ (1,2,3,4,5,7). Initially bring it in SOP form. So from K-Map displayed in figure (a) we find

531_Illustrate Design of combinational circuits1.png

1152_Illustrate Design of combinational circuits2.png

Figure: K-Map & Logic circuit for function F (A, B, C) = Σ (1,2,3,4,5,7).

In the same way any Boolean expression can be realized with just NOR gate by implementing in POS form. Let's take similar illustration F (A, B, C) =Σ (1,2,3,4,5,7).  

The above function F can be expressed in POS form as  below:

F (A, B, C) = ∏ (0,6)

1139_Illustrate Design of combinational circuits3.png

Figure: Logic circuit for function F (A, B, C) = Σ  (1,2,3,4,5,7) using NOR gates

Posted Date: 7/18/2013 12:53:12 AM | Location : United States

Related Discussions:- Illustrate design of combinational circuits, Assignment Help, Ask Question on Illustrate design of combinational circuits, Get Answer, Expert's Help, Illustrate design of combinational circuits Discussions

Write discussion on Illustrate design of combinational circuits
Your posts are moderated
Related Questions
Classification according to part of instruction and data: According to the parts of instruction and data, following parts are identified under this classification: Scal

State the data flow diagramming conpects The approach to data flow diagramming is as follows: Create a data flow diagram for each of major outputs of system Work ba

To see a high-level representation of the structure of a local site, you use Dreamweaver's Site Map view. You can also use site map to add new files to the site, to add, remove and

Arithmetic Pipeline The complex arithmetic operations like floating point and multiplication operations use a lot of the time of the ALU. These operations can also be pipelined

Q. Illustrate Left shift register with parallel load? A register that shifts data in one direction only is known as Uni-directional shift register and a register that can shift

Illustrate the elements of Information Super Highway Infrastructure. The Information Superhighway is more than the Internet. This is a series of elements, including the collect

Case Study - A taxi company has 200 taxies. The company provides its services to all the nine districts in Mauritius, about 20 taxies per district. A taxi is normally attached to

The circle can rotate clockwise and back. By using minimum hardware build a circuit to indicate the direction of rotating? Two sensors are required to determine the direction o

Q. Describe about Instruction set? Instruction set is the boundary where computer designer and computer programmer see the same computer from various viewpoints. From the desig

The assignment enhances the acquisition of new knowledge through reading, research and practical work in class and at home. It requires critical thinking applied to real life tasks