Final answer:
The task is to create a combinational circuit that approximates the square root of a 4-bit number with a 3-bit output. This involves setting up a truth table, designing the circuit, simulating it in Logisim, and verifying that the output matches the expected square root approximation for all possible inputs.
Step-by-step explanation:
Designing a Combinational Circuit for Square Root Approximation
To design a combinational circuit that accepts a 4-bit number and outputs a 3-bit binary number approximating the square root, we need a truth table representing the square root values for all 4-bit inputs (0-15). Since the output is a 3-bit number, we can represent the numbers 0 to 7.
For instance, the square root of the input 4-bit number 9 (1001 in binary) is 3 (011 in binary). We approximate the square root to the nearest whole number. If the actual square root is halfway between two numbers, like 3.5, we round up to 4. This fits the criteria provided, where for a square root of 3.5 or larger, we output 4 (100 in binary), and for a square root less than 3.5 but at least 2.5, we output 3 (011 in binary).
The next step involves simulating the circuit using Logisim, which allows for testing and verification of the designed logic. Once the circuit is created and tested, saving the file with the required naming convention (firstname_lastname_P4.circ) and uploading it to BilgiLearn or the respective assignment submission platform concludes the task.
It is important to thoroughly test the combinational circuit with all possible inputs to ensure its accuracy. To do so in Logisim, you can use the built-in simulation feature to apply inputs and observe the outputs, ensuring that the circuit behaves as expected according to our design criteria.