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. To simplify an algebraic function using K-map simplification, we first need to create a K-map with the given function. Then, we can group the minterms in the K-map to identify common terms and simplify the function accordingly.
2. An implementation of a 1 to 8 demultiplexer can be done using combinational logic gates. The truth table for a 1 to 8 demultiplexer would have 8 output lines corresponding to the 3 input lines. The demultiplexer would select one of the 8 output lines based on the input value.
3. Three digital components are:
- Flip-Flops: These are memory elements used for storing binary information. They are commonly used in sequential logic circuits like counters and registers.
- Multiplexers: These components are used to select one of multiple input lines and route it to a single output line. They are commonly used in data routing and signal processing applications.
- Adders: Adders are used for performing arithmetic operations in digital circuits. They are essential components in microprocessors and other digital systems for adding binary numbers.
4. Basic Computer Organization and Design refers to the architecture and structure of a computer system. It includes components like the CPU, memory, input/output devices, and the interconnection between these components. The design of a computer system involves specifying the instruction set architecture, memory organization, and input/output interfaces.
5. Different types of computer instructions include:
- Arithmetic Instructions: These instructions perform arithmetic operations like addition, subtraction, multiplication, and division.
- Control Instructions: These instructions determine the flow of execution in a program, including conditional branching, loops, and subroutines.
- Data Transfer Instructions: These instructions move data between memory, registers, and input/output devices. Examples include load, store, and transfer instructions.