Topic: Boolean AlgebraFill-in the boxes (those with arrows) will give high rating if correct answers ty!! Now let's use our Boolean algebra skills to revisit the full adder circuit from before.We want to create a circuit that turns on when there is a carry-out of 1, i.e. Cout =1.Here is the truth table that describes the operation of a full adder, focusing on just the Cout. Some remarks are includedfor rows where Cout = 1, and the corresponding Boolean expression is included for some entries. Complete the rest ofthe table.A B Cin CoutCout is 1 when...Boolean expression11111A is 0* AND B is 1 AND C is 1АВС111A is 1 AND B is 0* AND C is 1АВС11 01A is 1 AND B is 1 AND C is 0*1111A is 1 AND B is 1 AND C is 1*Note: X = 0 is the same as saying NOT (X = 1) or simply, NOT X. We denote NOT X as X'. We also say that X' is thecomplement of X.Looking at the table, we know that Cout will be 1 if any of the conditions where Cout=1 happens, i.e. the rows where wedefined Boolean expressions above. Therefore, we OR all those four expressions in the table together, i.e.Cout = A'BC + AB'C ++

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Topic: Boolean Algebra Fill-in the boxes (those with arrows) will give high rating if correct answers ty!!

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

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Topic: Boolean Algebra

Fill-in the boxes (those with arrows)

will give high rating if correct answers ty!!

Now let's use our Boolean algebra skills to revisit the full adder circuit from before.
We want to create a circuit that turns on when there is a carry-out of 1, i.e. Cout =1.
Here is the truth table that describes the operation of a full adder, focusing on just the Cout. Some remarks are included
for rows where Cout = 1, and the corresponding Boolean expression is included for some entries. Complete the rest of
the table.
A B Cin Cout
Cout is 1 when...
Boolean expression
1
1
1
1
1
A is 0* AND B is 1 AND C is 1
АВС
1
1
1
A is 1 AND B is 0* AND C is 1
АВС
1
1 0
1
A is 1 AND B is 1 AND C is 0*
1
1
1
1
A is 1 AND B is 1 AND C is 1
*Note: X = 0 is the same as saying NOT (X = 1) or simply, NOT X. We denote NOT X as X'. We also say that X' is the
complement of X.
Looking at the table, we know that Cout will be 1 if any of the conditions where Cout=1 happens, i.e. the rows where we
defined Boolean expressions above. Therefore, we OR all those four expressions in the table together, i.e.
Cout = A'BC + AB'C +
+

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