2. The carry out output of a 1-bit full adder represents the majority function Cout= AB +ACin +BCin, where A, B, Cin are data bits and carry-in, respectively. Why can one present Cout= AB + Cin (A XOR B) and why XOR is used in place of OR?

2. The carry out output of a 1-bit full adder represents the majority function Cout= AB +ACin +BCin, where A, B, Cin are data bits and carry-in, respectively. Why can one present Cout= AB + Cin (A XOR B) and why XOR is used in place of OR?

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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Question

Can you do number 2 for me please

1. A communication system transmits 5-bit messages with EVEN parity.
Present your last ID digit in BCD (4 bits) and show the value of parity bit P
to be appended to this group of 4 bits.
2. The carry out output of a 1-bit full adder represents the majority function
Cout= AB +ACin +BCin, where A, B, Cin are data bits and carry- in,
respectively. Why can one present Cout= AB + Cin (A XOR B) and why
XOR is used in place of OR?
3. A transmission gate contains two complementary transistors: NMOS
and PMOS devices with their channels connected in parallel. The gates of
the MOSFETs are driven with complementary control signals. Why do we
need two complementary transistors connected in parallel? Why having a
single MOSFET (either NMOS or PMOS) would not be sufficient?

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