Please explain everything in step by step process.  Must draw with hand and on paper. Find out the outputs for all possible combinations of input states. Write down the input-output in tabular form. Show the (Truth Table) What is the Boolean Equation for the output? Simplify the Boolean equation. The circuit’s function is identical to a single gate. Write down the name of that gate.

EBK ELECTRICAL WIRING RESIDENTIAL
19th Edition
ISBN:9781337516549
Author:Simmons
Publisher:Simmons
Chapter3: Determining The Required Number Of Branch Circuits, Lighting Outlets, And Receptacle Outlets
Section: Chapter Questions
Problem 25R
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Please explain everything in step by step process. 

Must draw with hand and on paper.

Find out the outputs for all possible combinations of input states.

Write down the input-output in tabular form.

Show the (Truth Table)

What is the Boolean Equation for the output?

Simplify the Boolean equation.

The circuit’s function is identical to a single gate. Write down the name of that gate.

 

BOOLEAN THEOREMS
1. x.0=0
2. x.1=x
3. Х.X-X
4. Х.X -0
5. х+0-х
6. x+1=1
7. х+x-х
8. x+x =1
9. x+y=y+x (Commutative laws)
10.x.y=y.x (Commutative laws)
11.x+(y+z)=(x+y)+z=x+y+z (Associative laws)
12.x(yz)=(xy)z=xyx (Associative laws)
13.(w+x)(y+z)=wy+xy+wz+xz
14.x+xy=x
15. *+ xy = x + y
16. * + xy = x + y
x+ y = x.y
17.
(DeMorgan's Theorem)
18. x.y =x +y (DeMorgan's Theorem)
Transcribed Image Text:BOOLEAN THEOREMS 1. x.0=0 2. x.1=x 3. Х.X-X 4. Х.X -0 5. х+0-х 6. x+1=1 7. х+x-х 8. x+x =1 9. x+y=y+x (Commutative laws) 10.x.y=y.x (Commutative laws) 11.x+(y+z)=(x+y)+z=x+y+z (Associative laws) 12.x(yz)=(xy)z=xyx (Associative laws) 13.(w+x)(y+z)=wy+xy+wz+xz 14.x+xy=x 15. *+ xy = x + y 16. * + xy = x + y x+ y = x.y 17. (DeMorgan's Theorem) 18. x.y =x +y (DeMorgan's Theorem)
Diagram of Circuit:
A
Transcribed Image Text:Diagram of Circuit: A
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