Design a logic circuit whose output is HIGH when a majority of inputs A, B and C are LOW.

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…

1D) For a combinational logic circuit of four inputs and one output having following conditions:  if the number of 1’s in the inputs are odd then output is 0  if the number of 1’s in the inputs are even then output is 1 a. Draw the truth table b. Find the simplified logic function using K-Map