Design a combinational logic circuit with four inputs A, B, C, D and one output F as follows. The inputs ABCD represent a four-bit unsigned binary number where A is the most significant bit and D is the least significant bit. Whenever the inputs represent an even number between 0 and 10, the output F is logic 1. Otherwise F is logic 0. Show all your working.

Given the following logic function: F = x’y’z’ + xyz + xy’z + x’yz’ Draw the logic diagram after simplification. Verify the logic using Logisim.

A state machine produces consecutive outputs, at each rising edge of the clock, in the following sequence. A B 1 1 0 1 then repeating 0 0 etc The state transition logic in this system may be implemented by the logic circuit shown below. This circuit is designed using two D flip-flops as well as two logic gates referred to as i and ii in the figure below. ii 1D C1 B 1D C1 CLK a) What is the function of gate i? Please select your answer among the choices given below. Recall that a NOR-EXCLUSIVE gate is an OR-EXCLUSIVE gate with an inverted output, i.e. an OR-EXCLUSIVE gate followed by a NOT gate. O NOR-EXCLUSIVE O NAND O NOR Submit part Unanswered b) What is the function of gate ii? Please select your answer among the choices given below. O NAND O NOR-EXCLUSIVE O NOR Submit part Unanswered

Rebuild the following logic circuits with the minimum possible number of logic gates and under the following conditions: Use only the AND and OR gates with 2-inputs. You can also use any number of NOT gates. f2=abc+abd+a'cd+b'cd