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DIGITAL LOGIC DESIGN
1
SUARE OF AN INPUT NUMBER
Square of an input number
INPUT OUTPUT
Number A B C Number2
U V W X Y Z
0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 1 0 0 0 0 0 1
2 0 1 0 4 0 0 0 1 0 0
3 0 1 1 9 0 0 1 0 0 1
4 1 0 0 16 0 1 0 0 0 0
5 1 0 1 25 0 1 1 0 0 1
6 1 1 0 36 1 0 0 1 0 0
7 1 1 1 49 1 1 0 0 0 1
𝑈 = 𝐴𝐵 𝐶 + 𝐴𝐵𝐶
𝑈 = 𝐴𝐵 𝐶 + 𝐶
𝑈 = 𝐴𝐵
𝑉 = 𝐴𝐵𝐶 + 𝐴 𝐵𝐶 + 𝐴𝐵𝐶
𝑉 = 𝐴 𝐵 + 𝐴𝐵𝐶
𝑉 = 𝐴 𝐵 (𝐶 + 𝐶) + 𝐴𝐵𝐶
𝑊 = 𝐴𝐵𝐶 + 𝐴 𝐵𝐶
𝑊 = 𝐶( 𝐴𝐵 + 𝐴 𝐵)
𝑋 = 𝐴𝐵 𝐶 + 𝐴𝐵 𝐶
𝑋 = 𝐵 𝐶( 𝐴 + 𝐴)
𝑋 = 𝐵 𝐶
Y= 0
𝑍 = 𝐴𝐵𝐶 + 𝐴𝐵𝐶 + 𝐴 𝐵𝐶 + 𝐴𝐵𝐶
𝑍 = 𝐴𝐶( 𝐵 + 𝐵) + 𝐴𝐶(𝐵 + 𝐵)
𝑍 = 𝐴𝐶 + 𝐴𝐶
𝑍 = 𝐶
INPUT OUTPUT
Number A B C Number2
U V W X Y Z
0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 1 0 0 0 0 0 1
2 0 1 0 4 0 0 0 1 0 0
3 0 1 1 9 0 0 1 0 0 1
4 1 0 0 16 0 1 0 0 0 0
5 1 0 1 25 0 1 1 0 0 1
6 1 1 0 36 1 0 0 1 0 0
7 1 1 1 49 1 1 0 0 0 1
Formulas
Logic Diagram in Multisim Software

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Square of an Input Number - Digital Logic Design | Lecture 5

  • 2. SUARE OF AN INPUT NUMBER
  • 3. Square of an input number
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14. INPUT OUTPUT Number A B C Number2 U V W X Y Z 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 2 0 1 0 4 0 0 0 1 0 0 3 0 1 1 9 0 0 1 0 0 1 4 1 0 0 16 0 1 0 0 0 0 5 1 0 1 25 0 1 1 0 0 1 6 1 1 0 36 1 0 0 1 0 0 7 1 1 1 49 1 1 0 0 0 1
  • 15. 𝑈 = 𝐴𝐵 𝐶 + 𝐴𝐵𝐶 𝑈 = 𝐴𝐵 𝐶 + 𝐶 𝑈 = 𝐴𝐵
  • 16. 𝑉 = 𝐴𝐵𝐶 + 𝐴 𝐵𝐶 + 𝐴𝐵𝐶 𝑉 = 𝐴 𝐵 + 𝐴𝐵𝐶 𝑉 = 𝐴 𝐵 (𝐶 + 𝐶) + 𝐴𝐵𝐶
  • 17. 𝑊 = 𝐴𝐵𝐶 + 𝐴 𝐵𝐶 𝑊 = 𝐶( 𝐴𝐵 + 𝐴 𝐵)
  • 18. 𝑋 = 𝐴𝐵 𝐶 + 𝐴𝐵 𝐶 𝑋 = 𝐵 𝐶( 𝐴 + 𝐴) 𝑋 = 𝐵 𝐶
  • 19. Y= 0
  • 20. 𝑍 = 𝐴𝐵𝐶 + 𝐴𝐵𝐶 + 𝐴 𝐵𝐶 + 𝐴𝐵𝐶 𝑍 = 𝐴𝐶( 𝐵 + 𝐵) + 𝐴𝐶(𝐵 + 𝐵) 𝑍 = 𝐴𝐶 + 𝐴𝐶 𝑍 = 𝐶
  • 21. INPUT OUTPUT Number A B C Number2 U V W X Y Z 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 2 0 1 0 4 0 0 0 1 0 0 3 0 1 1 9 0 0 1 0 0 1 4 1 0 0 16 0 1 0 0 0 0 5 1 0 1 25 0 1 1 0 0 1 6 1 1 0 36 1 0 0 1 0 0 7 1 1 1 49 1 1 0 0 0 1
  • 23. Logic Diagram in Multisim Software