Draw truth tables of the following Boolean functions.
F = X’Y’Z + YZ + XY’Z X Y Z X’ Y’ F = X’Y’Z + YZ + XY’Z 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 1 … Read more
6. Computer Logic and Gates
Explain how NAND and NOR gates can be created using AND, OR, and NOT gates.
NAND Gate: A NAND gate can be created by first using an AND gate to perform the logical AND operation on two inputs, and then applying a NOT gate to the output of the AND gate. The expression for a NAND gate is:F=A⋅B‾F = \overline{A \cdot B}F=A⋅B, which means the output is the negation … Read more
Draw the graphical symbols of AND, OR, NOT, NAND, and NOR gates and write their functions.
AND Gate: Symbol is a flat-ended shape with two inputs and one output. Function: The output is 1 only if both inputs are 1. (A AND B = 1 if A = 1 and B = 1) OR Gate: Symbol is a curved shape with two inputs and one output. Function: The output is 1 … Read more
Draw three-variable Karnaugh map for variables X, Y, and Z.
YZ 00 01 11 10 X 0 0 0 1 1 1 1 1 1 0 Related Questions: What is a logic gate? Define truth table. Define Boolean function. What is Karnaugh map and why is it used? Draw the graphical symbols of AND, OR, NOT, NAND, and … Read more
What is Karnaugh map and why is it used?
A Karnaugh map (K-map) is a graphical method used to simplify Boolean functions and expressions. It is a two-dimensional grid where each cell represents a combination of input variables and the corresponding output of the Boolean function. By grouping adjacent cells with the same output, the K-map helps identify patterns that can be combined, reducing … Read more
Define Boolean function.
A Boolean function is a mathematical expression that relates one or more Boolean variables to a result, where the variables can take binary values (0 or 1). The function is constructed using logical operations like AND, OR, and NOT, and its output is based on the input values. For example, a simple Boolean function can … Read more
Define truth table.
A truth table is a mathematical table used in logic to show the output of a Boolean function for every possible combination of its inputs. Each row in the table represents a possible set of input values, and the corresponding output for that combination. Truth tables are commonly used to represent the behavior of logic … Read more
What is a logic gate?
A logic gate is a basic electronic component used in digital circuits that performs a specific logical operation on one or more binary inputs to produce a binary output. The most common logic gates include AND, OR, NOT, NAND, NOR, XOR, and XNOR. These gates operate on binary values, where the inputs are either 0 … Read more