Please answer atleast the first 2 ( a and b) but if you are generous, please answer 3. Thank you! a.) Specify the input and output variables and the binary states of each. 1.)What are the input variables and what do their binary values represent? 2.)What are the output variables and what do their binary values represent?b.) Construct the truth table showing the desired output for each combination of inputs. (Please arrange your variables in alphabetical order with the MSB as the first letter in alphabetical order)c.) Write the Boolean expression for the truth table you constructed in Part 2. Simplify the final expression such that there are only 3 variables per term. Problem.You are designing a simple black and white image processing algorithm. It needs to detect the darkness or lightness of an area in the image. For every 2 pixels x 2 pixels matrix, the color of the pixels are observed. The area isconsidered dark if at least half of the pixels are black. Otherwise, the area is considered light.The pixels under observation are labeled A, B, C, and D as shown below. Let A = 0, B = 0, C = 0, or D = 0 if the corresponding pixel of the label is color black. Let X = 0 if the 2 × 2 matrix is considered dark. Examplescenarios are also shown below.ABDExample scenarios:Matrix is considered lightMatrix is considered darkАВDс DA = 0, B = 1, C = 1, D = 1A = 1, B = 0, C = 0, D = 0

The Digital Comparator is another very useful combinational logic circuit used to compare the value…

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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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Please answer atleast the first 2 ( a and b) but if you are generous, please answer 3. Thank you! a.) Specify the input and output variables and the binary states of each.

1.)What are the input variables and what do their binary values represent?

2.)What are the output variables and what do their binary values represent?

b.) Construct the truth table showing the desired output for each combination of inputs. (Please arrange your variables in alphabetical order with the MSB as the first letter in alphabetical order)

c.) Write the Boolean expression for the truth table you constructed in Part 2. Simplify the final expression such that there are only 3 variables per term.

Problem.
You are designing a simple black and white image processing algorithm. It needs to detect the darkness or lightness of an area in the image. For every 2 pixels x 2 pixels matrix, the color of the pixels are observed. The area is
considered dark if at least half of the pixels are black. Otherwise, the area is considered light.
The pixels under observation are labeled A, B, C, and D as shown below. Let A = 0, B = 0, C = 0, or D = 0 if the corresponding pixel of the label is color black. Let X = 0 if the 2 × 2 matrix is considered dark. Example
scenarios are also shown below.
A
B
D
Example scenarios:
Matrix is considered light
Matrix is considered dark
А
В
D
с D
A = 0, B = 1, C = 1, D = 1
A = 1, B = 0, C = 0, D = 0

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