This diagram illustrates a digital logic circuit known as a Full Adder, which is used in computer arithmetic to add three binary bits: two significant bits \( x_i \) and \( y_i \), and a carry-in bit \( \text{Carry}_i \). ### Components:1. **Inputs:** - \( x_i \) - \( y_i \) - \( \text{Carry}_i \)2. **Outputs:** - \( \text{Sum}_i \) - \( \text{Carry}_{i+1} \)### Logic Gates and Connections:- **XOR Gates:** - The first XOR gate takes inputs \( x_i \) and \( y_i \) and outputs an intermediate value. - The output of this XOR gate is then XORed with \( \text{Carry}_i \) using another XOR gate to produce the final sum output (\( \text{Sum}_i \)).- **AND Gates:** - One AND gate takes inputs \( x_i \) and \( y_i \). - Another AND gate takes the output of the first XOR gate and \( \text{Carry}_i \).- **OR Gate:** - The outputs of both AND gates are fed into an OR gate to produce the carry-out (\( \text{Carry}_{i+1} \)).### Function:The Full Adder calculates the sum and carry-out bit when adding three single binary digits, incorporating the incoming carry. The circuit correctly handles the carry-in, improving the handling of binary addition in sequential circuits.

Here in this question we have given a circuit diagram and we have asked to analyse the circuit and…

Answered: Yi D D Sum, Carryi+1

Engineering

Computer Science

Yi D D Sum, Carryi+1

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Fundamentals of Input and Output Performance

The I/O subsystem is a component of computer system design that uses buses to assist communication between the Central Processing Unit, Computer Memory/Storage, and Input and Output Devices (that is known as peripheral devices). The I/O subsystem includes disc controllers, tape drives, discs, system buses, and other devices. The I/O database application reads and writes drives using the operating system windows I/O.

Question

This diagram illustrates a digital logic circuit known as a Full Adder, which is used in computer arithmetic to add three binary bits: two significant bits \( x_i \) and \( y_i \), and a carry-in bit \( \text{Carry}_i \).

### Components:

1. **Inputs:**
- \( x_i \)
- \( y_i \)
- \( \text{Carry}_i \)

2. **Outputs:**
- \( \text{Sum}_i \)
- \( \text{Carry}_{i+1} \)

### Logic Gates and Connections:

- **XOR Gates:**
- The first XOR gate takes inputs \( x_i \) and \( y_i \) and outputs an intermediate value.
- The output of this XOR gate is then XORed with \( \text{Carry}_i \) using another XOR gate to produce the final sum output (\( \text{Sum}_i \)).

- **AND Gates:**
- One AND gate takes inputs \( x_i \) and \( y_i \).
- Another AND gate takes the output of the first XOR gate and \( \text{Carry}_i \).

- **OR Gate:**
- The outputs of both AND gates are fed into an OR gate to produce the carry-out (\( \text{Carry}_{i+1} \)).

### Function:

The Full Adder calculates the sum and carry-out bit when adding three single binary digits, incorporating the incoming carry. The circuit correctly handles the carry-in, improving the handling of binary addition in sequential circuits.

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