ECE222 Digital Logic Design Assignment 3 Fall 2021 PDF
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Faculty of Computer Science and Information Technology
2021
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This assignment for ECE222 Digital Logic Design covers Boolean algebra and logic gates. It includes truth tables, bitwise operations, and theorems. This Fall 2021 assignment is for undergraduate students.
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Course: ECE222 - Digital Logic Design Semester: Fall 2021. Assignment 3: Boolean Algebra and Logic Gates 1. Show that the distributive law x ∙ (y + z) = (x ∙ y) + (x ∙ z) can be shown to hold from the operator tables by forming a truth table of...
Course: ECE222 - Digital Logic Design Semester: Fall 2021. Assignment 3: Boolean Algebra and Logic Gates 1. Show that the distributive law x ∙ (y + z) = (x ∙ y) + (x ∙ z) can be shown to hold from the operator tables by forming a truth table of all possible values of x, y, and z 2. We can perform logical operations on strings of bits by considering each pair of corresponding bits separately (called bitwise operation). Given two eight‐bit strings A = 10110001 and B = 10101100, evaluate the eight‐bit result after the following logical operations: a. AND b. OR c. NOT A d. NOT B 3. Fill in the following theorems and postulates: 4. Find the complement of the following expressions: a. 𝒙𝒚′ + 𝒙′𝒚. b. (𝒂 + 𝒄) (𝒂 + 𝒃′) (𝒂′ + 𝒃 + 𝒄′). c. 𝒛 + 𝒛′(𝒗′𝒘 + 𝒙𝒚). Page 1 of 1
