Tech Blog: Digital System and Binary Numbers

More Next Blog»

Tech Blog

Digital Design

FPGA Interview Questions

UVM Interview Questions

Thursday, July 22, 2010

interview_questions

Verilog Programs

Labels

Digital System and Binary Numbers Digital Systems: I have got many emails from students regarding Digital System and Binary Numbers conecpts so this is quick review what is Digital System and Binary Numbers? and what it does.....i think it will help u guys...if u guys really intersted and want to become logical designer Download this book Digital Design (4th Edition) only book that can tech u basics in professional way recommended by many designers... Digital systems are used in:

interview_questions Verilog Programs

Blog Archive

1. Communication

2009 (1)

t 2010 (6)

3. Traffic Control

June (3)

4. Medical treatment

t July (3)

5. Internet

3x8 Decoder 32x8 FIFO

The signals in digital systems use just two discrete values: a binary digit. Binary digit called a bit, has two values: 0 or 1. Example: The decimal digits a through 9 are represented in digital system with a code of four bits (e.g. is represented by 0111, 8 is represented by 1000, 9 is represented by 1001).

Digital System and Binary Numbers 2011 (3) 2016 (4)

Binary Numbers Decimal number: The decimal number system is said to be of base, or radix, '10' because it uses 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).

Pages Home

Example: The decimal number 245 may be written as 2x102+4x101+5x100 where 2, 4, and 5 are the coefficients.

Binary Number System:

The coefficients of the binary number have only two possible values: '0' or '1'.

Followers

Example: (1001)2 its equivalent decimal number is : 1x23+0x22+0x21+1x20 = 8 + 0 + 0 + 1 = 9 where 1, 0, 0, and 1 are the coefficients. Octal number system (Base 8): The octal number system is said to be of base, or radix, '8' because it uses digits (00, 01, 02, 03, 04, 05, 06, 07, 10, 11, 12, 13, 14, 15, 16, 17). Hexadecimal number system (Base 16): It uses 16 digits : (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F). The letter A, B, C, D, E, and F are used for the digits 10,11, 12, 13, 14, and 15 respectively.

Feedjit

Example: (124)16 = 1x162 + 2x161 + 4x160= 256 + 32 + 4 = 292

NUMBER BASE CONVERSION

Decimal to Binary conversion

Free SystemVerilog Tutorials

1. Divide the number with base '2'. 2. Take the remainder 0 or 1 as a coefficient. 3. Take the quotient and repeat the division.

SystemVerilog Tutorials

Live Traffic Feed A visitor from Nizhnekamsk, Tatarstan viewed "Tech Blog" 11 hrs 34 mins ago A visitor from Russian Federation viewed "Tech Blog: System Verilog Interview Questions" 11 hrs A visitor from Moscow, 34 mins ago Moscow City viewed "Tech Blog" 20 hrs 59 mins ago A visitor from Wilmington, Delaware viewed "Tech Blog" 1 day 2 hours ago A visitor from Russian Federation viewed "Tech Blog: Digital design Interview Questions" 1 day A visitor from Moscow, 4 hours ago Moscow City viewed "Tech Blog: System Verilog Interview A visitor from Moscow, Questions" 1 day 17 hours Moscow City viewed ago "Tech Blog: Digital design Interview Questions" 2 A visitor from Moscow, days 7 hours ago Moscow City viewed "Tech Blog: System Verilog Interview A visitor from Bayan Questions" 2 days 18 hours Lepas, Pulau Pinang ago viewed "Tech Blog" 2 days 21 hours ago A visitor from Moscow, Moscow City viewed "Tech Blog" 3 days 1 hour ago Real-time view · Get Feedjit

Decimal to Octal conversion

Binary to Octal conversion

Complements:

The meaning of complement is something required to make a thing complete. For example, salsa complements tortilla chips, beer complements pizza, an ice cream cone complements a hot summer day, and apple sauce complements pork chops. A key concept to explore is how two things complement each other. For example, when a piece of pizza is removed from a whole pizza the piece complements what is left behind and vice versa. Each of the 4 following complements use the same concept except in different bases and what is considered a complete number in that base. 1’s Complement: The 1’s complement finds whatever is needed to make an entire set of 1’s. This is shown in the

2’s ComplementFinding the 8 digit 2’s complement of 01101100

9’s ComplementThe 9’s complement finds whatever is needed to make an entire set of 9’s. This is shown in the

10’s ComplementFinding the 5 digit 10’s complement of 1357

Basic Logic Gate A logic gate performs a logical operation on one or more logic inputs and produces a single logic output. The logic normally performed is Boolean logic and is most commonly found in digital circuits. Logic gates are primarily implemented electronically using diodes or transistors, but can also be constructed using electromagnetic relays (relay logic), fluidic logic, pneumatic logic, optics, molecules, or even mechanical elements. In electronic logic, a logic level is represented by a voltage or current, (which depends on the type of electronic logic in use). Each logic gate requires power so that it can source and sink currents to achieve the correct output voltage. In a pure logic diagram logic levels and power supply connections do not exist and are not shown, but in a full logic circuit diagram, documenting the implementation of the logic, these are required.

All other types of Boolean logic gates (i.e., AND, OR, NOT, XOR, XNOR) can be created from a suitable network of NAND gates. Similarly all gates can be created from a network of NOR gates. Historically, NAND gates were easier to construct from MOS technology and thus NAND gates served as the first pillar of Boolean logic in electronic computation.

Truth table is a table that describes the behaviour of a logic gate or any combination of logic gates. It lists the value of the output for every possible combination of the inputs and can be used to simplify the number of logic gates and level of nesting in an electronic circuit. In general the truth table does not lead to an efficient implementation; a minimization procedure, using Karnaugh maps, the Quine–McCluskey algorithm or an heuristic algorithm is required for reducing the circuit complexity. Truth table & Symbols

Posted by Moderator at 1:47 AM Reactions: Labels: Digital Design

Home

Older Post

THANK U FOR VISITING MY BLOG KEEP VISITING....

Hit statistics

Disclaimer basicsofvlsi.blogspot.com do not host any files, nor do we upload them. We are not responsible for what other people upload to 3rd party sites. We urge all copyright owners, to recognize that the links contained within this site are located somewhere else on the web. The embedded link points to the location of the video on the web. Please direct all copyright infringement issues to the companies that host these files (Google, Dailymotion, YouTube, etc.)

website value

Tech Blog: Digital System and Binary Numbers

Recommend Documents

Digital System And Binary Numbers - Unacademy
This course would contain basics of the digital system starting from number system, conversion from one form to another

Chapter I: Digital System and Binary Numbers
Chapter I: Digital System and Binary Numbers. 1-1Digital Systems. Digital systems are used in: - Communication. - Busine

Digital Systems and Binary Numbers
Digital Systems. â« Binary Numbers. â« Number-Base Conversions. â« Octal and Hexadecimal Numbers. â« Complements. â

Digital Logic Design Unit-I Digital system and binary numbers
ECS-301 : Digital Logic Design. Unit-I. Digital system and binary numbers: : Signed binary numbers, binary codes, cyclic

Digital Systems and Binary Numbers
[PDF]Digital Systems and Binary Numbershttp://eclass.duth.gr/.../Pages%20from%20DIGITAL%20SYSTEM%20DESIGN%20...CachedTh

Digital Data and Binary Numbers - web.pdx.edu
1. Digital Data and Binary Numbers. 1.Digital Data. 2. Binary numbers. 3. How digital data is displayed on the monitor.

CSCI 2150 -- Digital Signals and Binary Numbers
Digital Signals and Binary Numbers. Digital waveforms. Last period, we covered the differences between a real-world anal

1 Digital Systems and Binary Numbers
Digital Logic Design. Yarmouk University. Computer Engineering Department. ID= Chapter 1 - Binary Systems. 1 Digital Sys

Chapter 1 Digital Systems and Binary Numbers | Binary Coded
Digital Logic Design I. Chapter 1. Digital Systems and Binary Numbers. Title: Digital Design Code: Lecture: 3. Pre-Requi

unit 1 digital system, binary numbers & gate-level - BTech Notes
DIGITAL SYSTEM, BINARY NUMBERS & GATE-LEVEL. MINIMIZATION. 1.1 SIGNED BINARY NUMBERS. THE BINARY, DECIMAL, AND HEXADECIM