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Draw the truth tables for the following Boolean expressions.xy+yz+xzx¯y+yz¯+x¯z(x⊕y)+(y⊕z)+(x⊕z)(xy)¯⊕zDraw circuit diagrams implementing each of the above expressions.You may simplify the expressions or not, as you choose.You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR).

Question
  1. Draw the truth tables for the following Boolean expressions.
    • xy+yz+xz
    • x¯y+yz¯+x¯z
    • (x⊕y)+(y⊕z)+(x⊕z)
    • (xy)¯⊕z
  1. Draw circuit diagrams implementing each of the above expressions.
    • You may simplify the expressions or not, as you choose.
    • You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR).
check_circleAnswer
Step 1

Hello. Since you have posted multiple questions and not specified which question needs to be solved, we will solve the first question for you. If you want any other specific question to be solved then please resubmit only that question or specify the question number.

Truth Table for the expression xy + yz + xz:

xy + yz + xz
0
х
y
0
0
0
0
0
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
1
1
1
0
1
1
1
1
1
help_outline

Image Transcriptionclose

xy + yz + xz 0 х y 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1

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Step 2

Truth Table for the expression ~xy + y~z + ~xz:

xy+y-z + ~xz
0
X
y
0
Z
0
0
0
0
1
1
0
1
0
1
0
1
1
1
1
0
0
0
1
0
1
0
1
1
1
1
1
1
0
help_outline

Image Transcriptionclose

xy+y-z + ~xz 0 X y 0 Z 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0

fullscreen
Step 3

Truth Table for the expression (x&opl...

(xOy)+(y@z)+(xz)
y
0
Z
0
0
0
0
10
1
1
0
1
0
1
10
1
1
1
1
0
0
1
1
0
1
1
1
1
0
1
1
1
1
0
help_outline

Image Transcriptionclose

(xOy)+(y@z)+(xz) y 0 Z 0 0 0 0 10 1 1 0 1 0 1 10 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0

fullscreen

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Tagged in

Engineering

Computer Science

Boolean Logic

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