Design a combinational circuit with four inputs and one output. The output is 1 if the number of 1’s in the input even OR the equivalent decimal value of the input is prime . Otherwise, the output is 0. 1. Construct the truth table with 16 binary combinations of the four input variables. 2. Obtain the simplified Boolean expression for the output using either k-map or tabular method. 3. Draw the logic diagram of the simplified boolean expression obtained in 2).

design a combinational circuit with three inputs and one output. the output is 1 when the binary value of the inputs is greater than decimal equivalent 4. The output is 0 otherwise. Write the truth table, k map,expression and circuit

For the following question, you need to create a truth table, write the Boolean expression for each output based on the truth table, use K-map to simplify the expression if possible, and draw the logic diagram using AND, OR, NOT gate only. 1. Design a 3-bit shifter. a. A0, A1, A2, and S as inputs b. If S=0, then shift one bit to the left and add 0 to the last bit c. If S=1, then shift one bit to the right and add 0 to the first bit d. Y0, Y1, and Y2 as outputs