4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map.

1) (a) Convert binary number 1011101 to a decimal number.(b) Perform the following binary subtraction using the one’s complement method. 11010 -101112) A logic circuit is given below. (a) Draw and fill out a truth table for the logic circuit (Tip: you can add columns for intermediate outputs C, D and E for a help).(b) Derive the Boolean expression from the truth table. 3) The Boolean expression of a logic operation is given below(a) Simplify the Boolean expression using Boolean algebra and De Morgan’s Theorems(b) Draw the circuit to implement the expression you obtain using NAND or NOR gates only.4) In the context of semiconductors, describe the following:(a) Intrinsic and extrinsic semiconductor. (b) Drift velocity of carriers.(c) Band-gap energy.(d) Frequency of light emitted by an LED. 5) Explain how doping a pure silicon crystal with donor impurity atoms makes more charge carriers available for conduction.Does the above doping result in a p-type or n-type semiconductor? Explain…

Fill in the truth tables and write the corresponding Boolean logic statement.

Write a Boolean expression for the following logic gates，then simplify it.

UX design problem: Design  a  logic circuit that has (3) signal inputs: A1, A0       Select (S)   1. Draw the logic gates and truth table and use a simple KMAP: Hint: A1' A0' ... rows and  S' S columns (set your KMAP) from your Truth Table Complete the table A1 A0 S Z 0 0 0 0 0 0 1 0

Hi, can you please help me with all these questions. Thank you

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

Write a Boolean expression for the output of the logic circuit. W X Y Z=WX+WY+XY Z= XY+W Z= 1 Z= XY+Y+W