Digital Systems Concepts Quiz - Set 3 (10 Questions)
1. What is the primary goal of simplifying Boolean expressions using any method?
To increase the number of logic gates required.
To make the circuit more complex for better security.
To obtain a simpler, equivalent expression that results in a less complex logic circuit.
To change the fundamental logic function of the circuit.
2. Which method of Boolean simplification relies heavily on applying Boolean algebra theorems and laws?
The Map Method (K-map)
The Tabulation Method (Quine-McCluskey)
The Algebraic Method
The Truth Table Method
3. What is a key limitation of the Map Method (Karnaugh Map) for simplifying Boolean expressions?
It cannot handle "don't care" conditions.
It is not suitable for expressions with more than 5 or 6 variables.
It cannot be used for Sum of Products (SOP) expressions.
It always results in a more complex circuit.
4. How are adjacent cells identified in a Karnaugh Map?
Cells that share a common corner.
Cells that are separated by two or more variable changes.
Cells that differ by only one variable (either horizontally or vertically, including wrapping around).
Cells that have the same output value.
5. What is the main advantage of the Tabulation Method (Quine-McCluskey) over the K-map method?
It is a purely graphical method, making it easier to visualize.
It is more effective for simplifying expressions with a large number of variables (more than 6).
It can only be used for Product of Sums (POS) expressions.
It requires less computational effort than the Algebraic Method.
6. In the Tabulation Method, what is the first step when grouping minterms?
Identify all prime implicants.
Group minterms by the number of 1s they contain.
Form groups of four adjacent cells.
Draw a Karnaugh Map.
7. When using the Algebraic Method, which Boolean theorem states that $A + AB = A$?
Commutative Law
Distributive Law
Absorption Law
De Morgan's Theorem
8. How many cells does a 4-variable Karnaugh Map have?
8
16
32
4
9. What is the term for a product term that cannot be combined with any other product term to eliminate a literal in the Tabulation Method?
Minterm
Maxterm
Prime Implicant
Essential Minterm
10. Which simplification method is generally preferred for manual simplification of Boolean expressions with 3 to 5 variables due to its graphical nature?
The Algebraic Method
The Tabulation Method
The Map Method (K-map)
Truth Table Evaluation
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