1. Simplify the given algebraic function using K-map simplification
2. Construct the implementation of 1 to 8 demultiplexer with its truth table
3. Give at least three digital components and briefly describe their applications
4. Discuss the concept of Basic Computer Organization and Design shortly and precisely
5. Discuss different types of computer instruction.
1. The algebraic function can be simplified by using the K-map method which involves grouping the variables based on their positions in the truth table and eliminating unnecessary terms to simplify the function.
2. To construct a 1 to 8 demultiplexer, you would need 3 select lines (A, B, C) and 8 output lines (Y0-Y7). The truth table for a 1 to 8 demultiplexer would have 8 rows, each corresponding to one of the output lines being activated based on the select lines.
3. Three digital components are:
- Flip-flop: Used for storing binary data in sequential circuits.
- Multiplexer: Used for selecting one input from multiple inputs based on a control signal.
- Counter: Used for counting binary numbers in digital circuits.
4. Basic Computer Organization and Design is the study of how different components of a computer system are organized and connected to perform computations efficiently. It includes the CPU, memory, input/output devices, and communication buses. The design involves selecting appropriate components and designing their interactions to meet specific computational requirements.
5. Different types of computer instructions include:
- Arithmetic instructions: Perform mathematical operations like addition, subtraction, multiplication, and division.
- Logical instructions: Perform logical operations like AND, OR, NOT on binary data.
- Data transfer instructions: Move data between memory locations, registers, and input/output devices.
- Control instructions: Control the flow of program execution by branching, looping, and conditional operations.