Unit IV Adders Subtractors Flip Flops Counters Multiplexes and De multiplexes. Integrated circuits-Op. amp – Characteristics Inverting amplifier - Non-inverting.

Slides:



Advertisements
Similar presentations
ADDER, HALF ADDER & FULL ADDER
Advertisements

Combinational Circuits. Analysis Diagram Designing Combinational Circuits In general we have to do following steps: 1. Problem description 2. Input/output.
التصميم المنطقي Second Course
Introduction to Digital Systems By Dr. John Abraham UT-Panam.
Combinational Circuits
08/07/041 CSE-221 Digital Logic Design (DLD) Lecture-8:
Section 10.3 Logic Gates.
Combinational Logic1 DIGITAL LOGIC DESIGN by Dr. Fenghui Yao Tennessee State University Department of Computer Science Nashville, TN.
Part 2: DESIGN CIRCUIT. LOGIC CIRCUIT DESIGN x y z F F = x + y’z x y z F Truth Table Boolean Function.
Logic Gates Combinational Circuits
©2008 The McGraw-Hill Companies, Inc. All rights reserved. Digital Electronics Principles & Applications Seventh Edition Chapter 10 Arithmetic Circuits.
CS 105 Digital Logic Design
Digital Logic Lecture 08 By Amr Al-Awamry. Combinational Logic 1 A combinational circuit consists of an interconnection of logic gates. Combinational.
DIGITAL COMPONENTS By Sohaib.
Morgan Kaufmann Publishers
Binary Numbers.
CPS120: Introduction to Computer Science
Digital Components and Combinational Circuits Sachin Kharady.
ADDERS Half Adders Recall that the basic rules of binary addition are as indicated below in Table 2-9. A circuit known as the half-adder carries out these.
The Digital Logic Level
Digital Computer Concept and Practice Copyright ©2012 by Jaejin Lee Logic Circuits I.
1 DIGITAL ELECTRONICS. 2 OVERVIEW –electronic circuits capable of carrying out logical (boolean) and arithmetic operations on information stored as binary.
Module 9.  Digital logic circuits can be categorized based on the nature of their inputs either: Combinational logic circuit It consists of logic gates.
Adders Half-adder  Adds two bits Produces a sum and carry  Problem: Cannot use it to build larger inputs Full-adder  Adds three 1-bit values Like half-adder,
Lecture 9 Topics: –Combinational circuits Basic concepts Examples of typical combinational circuits –Half-adder –Full-adder –Ripple-Carry adder –Decoder.
Logic Gates Logic gates are electronic digital circuit perform logic functions. Commonly expected logic functions are already having the corresponding.
ARITHMETIC MICRO OPERATIONS
Universal college of engineering & technology. .By Harsh Patel)
EE 5900 Advanced Algorithms for Robust VLSI CAD, Spring 2009 Combinational Circuits.
Combinational Circuits
COMBINATIONAL LOGIC.
4–1. BSCS 5 th Semester Introduction Logic diagram: a graphical representation of a circuit –Each type of gate is represented by a specific graphical.
C OMBINATIONAL L OGIC D ESIGN 1 Eng.Maha AlGubali.
LOGIC CIRCUITLOGIC CIRCUIT. Goal To understand how digital a computer can work, at the lowest level. To understand what is possible and the limitations.
Logic Design (CE1111 ) Lecture 4 (Chapter 4) Combinational Logic Prepared by Dr. Lamiaa Elshenawy 1.
ETE 204 – Digital Electronics Combinational Logic Design Single-bit and Multiple-bit Adder Circuits [Lecture: 9] Instructor: Sajib Roy Lecturer, ETE,ULAB.
Dr.Ahmed Bayoumi Dr.Shady Elmashad
Chap 3. Combinational Logic Design
Multiplexer.
Combinational Logic Logic circuits for digital systems may be combinational or sequential. A combinational circuit consists of input variables, logic gates,
Computer Architecture CST 250
Principles & Applications
Summary Half-Adder Basic rules of binary addition are performed by a half adder, which has two binary inputs (A and B) and two binary outputs (Carry out.
XOR, XNOR, and Binary Adders
Basics Combinational Circuits Sequential Circuits
Fundamentals of Computer Science Part i2
HALF ADDER FULL ADDER Half Subtractor.
XOR, XNOR, & Binary Adders
ECE 301 – Digital Electronics
Week 7: Gates and Circuits: PART II
Logic Gates.
Logic Gates.
Adders and Subtractors
DIGITAL ELECTRONICS B.SC FY
Combinational Circuits
Logic Circuits I Lecture 3.
XOR, XNOR, and Binary Adders
Chapter-4 Combinational Logic
Combinational Circuits
Electronics for Physicists
XOR Function Logic Symbol  Description  Truth Table 
Overview of Digital Electronics
Adder Circuits By: Asst Lec. Basma Nazar
Combinational Circuits
1.Introduction to Advanced Digital Design (14 marks)
XOR, XNOR, and Binary Adders
Arithmetic Circuits.
Half & Full Subtractor Half Subtractor Full Subtractor.
Half & Full Subtractor Half Subtractor Full Subtractor.
Computer Architecture
Presentation transcript:

Unit IV Adders Subtractors Flip Flops Counters Multiplexes and De multiplexes. Integrated circuits-Op. amp – Characteristics Inverting amplifier - Non-inverting amplifier Differentiator & integrator- I/V converter & V/I converter Instrumentation amplifier - filters using op-Amp

2019/10/31 PJF- 2 Combinational Logic Combinational Circuits A combinational circuit consists of logic gates whose outputs, at any time, are determined by combining the values of the inputs. For n input variables, there are 2 n possible binary input combinations. For each binary combination of the input variables, there is one possible output.

2019/10/31 PJF- 3 Combinational Logic Combinational Circuits (cont.) Hence, a combinational circuit can be described by: 1.A truth table that lists the output values for each combination of the input variables, or 2.m Boolean functions, one for each output variable. Combinational Circuit n-inputsm-outputs

2019/10/31 PJF- 4 Combinational Logic Combinational vs. Sequential Circuits Combinational circuits are memory-less. Thus, the output value depends ONLY on the current input values. Sequential circuits consist of combinational logic as well as memory elements (used to store certain circuit states). Outputs depend on BOTH current input values and previous input values (kept in the storage elements).

Combinational vs. Sequential Circuits Combinational Circuit n-inputsm-outputs (Depend only on inputs) Combinational Circuit n-inputsm-outputs Storage Elements Next state Present state Sequential Circuit Combinational Circuit

Conceptually similar to decimal addition Binary adder that produces the arithmetic sum of binary numbers can be constructed with 1.Half adders and 2. Full adders Binary adder Half Adder (single bit adder) A combinational logic circuit that performs the addition of two data bits, A and B, is called a half-adder. Addition will result in two output bits; one of which is the sum bit, S, and the other is the carry bit, C. Only adds Least Significant Digit (LSD) column (1s column) in binary addition

Half Adder (contd……) A B  (sum) C 0 (carry out) Half Adder Input Output Logic Symbol: Logic Diagram:

 A combinational logic circuit that adds two data bits, A and B, and a carry-in bit, Cin, is called a full-adder  Used for adding binary place values other than the 1s place  The difference between a full adder and a half adder we looked at is that a full adder accepts inputs A and B plus a carry-in (Cin) giving outputs Q and Cout. Full Adder Logic Symbol: A B  (sum) C 0 (carry out) Full Adder Input Output C in

C0Cin AB Cin AB Cin Q=Cin’(A’B+AB’)+Cin(A’B’+AB) Co=AB+Bcin+ACin

Logic Diagram Q=Cin’(A’B+AB’)+Cin(A’B’+AB) Co=AB+BCin+ACin A’ B’ Cin A’ B Cin’ A B’ Cin’ A B Cin ABAB B Cin A Cin

Subtraction can be performed using binary numbers. Subtracting a single-bit binary value B from another A (i.e. A -B ) produces a difference bit Q and a borrow bit Bin Binary Subtractors Truth Table For Half Subtractor Logic diagram for half subtractor Q=AB’+A’BBin= A’B

Binary full subtractor Truth table and logic diagram for full subtractor

2019/10/31 PJF- 14 Combinational Logic Integrated Circuits Integrated circuit (a chip) is a semiconductor crystal (most often silicon) containing the electronic components for the digital gates and storage elements which are interconnected on the chip. Terminology - Levels of chip integration – SSI (small-scale integrated) - fewer than 10 gates – MSI (medium-scale integrated) - 10 to 100 gates – LSI (large-scale integrated) to thousands of gates – VLSI (very large-scale integrated) - thousands to 100s of millions of gates