Question

Design a circuit that has three inputs and two outputs. Output 1indicates when the 3 bit unsigned input is odd and output 2 indicates when the 3 bit unsigned input value is even. Provide the initial equations that describe your circuit and minimize your output equations using k-maps. Draw your circuits from the minimized equations using AND, OR, and NOT gates.

Answer 1

To design a circuit with three inputs and two outputs to indicate odd and even numbers, we can use logic gates and k-maps to minimize the equations. The circuit would involve AND, OR, and NOT gates to achieve the desired outputs.

Step-by-step explanation:

To design a circuit that has three inputs and two outputs to indicate whether the 3-bit unsigned input value is odd or even, we can use logic gates. Let's call the three inputs A, B, and C. Output 1 will indicate when the input is odd, and Output 2 will indicate when the input is even.

We can create the truth table for the circuit and write the equations based on the desired outputs. In this case, Output 1 should be high (1) when the input value is odd, which means there is an odd number of 1s in the binary representation of the input. Output 2 should be high (1) when the input value is even, which means all bits are 0 except the least significant bit (LSB) which is 1. Using k-maps, we can minimize the equations for the outputs.

The minimized equations for Output 1 and Output 2 will use AND, OR, and NOT gates based on the minimized expressions derived from the k-maps. The final circuit diagram can be drawn using the minimized equations with the appropriate gates and connections.