Question 6 Define (c, s) HA(x, y) as a half-adder, such that and y are two boolean input variables, and c and s are two boolean output variables where s is the sum and c is the carry. Typically, the half- adder can be implemented as say and c = x/y. Describe how we can use the half-adder(s) to implement a 2-bit incrementer (c, y₁, 32) = INC(1, 2) such that (y132)2 = (12)2 + 1 and c is t Your answer: Enter your detailed answer here. Please give a step by step explanation. carry.

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
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## Question 6

Define \((c, s) = HA(x, y)\) as a half-adder, such that \(x\) and \(y\) are two boolean input variables, and \(c\) and \(s\) are two boolean output variables where \(s\) is the sum and \(c\) is the carry. Typically, the half-adder can be implemented as \(s = x \oplus y\) and \(c = x \land y\).

Describe how we can use the half-adder(s) to implement a 2-bit incrementer \((c, y_1, y_2) = INC(x_1, x_2)\) such that \((y_1y_2)_2 = (x_1x_2)_2 + 1\) and \(c\) is the carry.

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**Your answer:**

*Enter your detailed answer here. Please give a step by step explanation.*
Transcribed Image Text:## Question 6 Define \((c, s) = HA(x, y)\) as a half-adder, such that \(x\) and \(y\) are two boolean input variables, and \(c\) and \(s\) are two boolean output variables where \(s\) is the sum and \(c\) is the carry. Typically, the half-adder can be implemented as \(s = x \oplus y\) and \(c = x \land y\). Describe how we can use the half-adder(s) to implement a 2-bit incrementer \((c, y_1, y_2) = INC(x_1, x_2)\) such that \((y_1y_2)_2 = (x_1x_2)_2 + 1\) and \(c\) is the carry. --- **Your answer:** *Enter your detailed answer here. Please give a step by step explanation.*
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