Design a 2-bit binary full-adder circuit using a true-output decoder. Assume carry input of the 2-bit binary full-adder is zero. Circuit adds two 2-bit binary numbers A, consisting of bits A1, A0, and B, consisting of bits B1, B0. The sum that is produced by the adder circuit consists of two sum bits S1, S0 and a carry out bit C0. Provide: i. Boolean equations for S1, S0 and C0. ii. Completely labelled logic diagram of decoder that implements the required operation. (You can represent the decoder in form of block diagram)

please find F= and thanks for your help

Design a circuit that takes three bits, X2, X1, X0 as input and produces one output, F. F is 1 if and only if 2<=X<=5 when X = (X2, X1, X0) is read as an unsigned integer. For example, if X2=1, X1=0, and X0=0, then the unsigned binary value is 100, which is 4, so the output would be 1.   Your Assignment For This Problem Includes the Following Design the necessary circuit using Logisim to implement the situation described above. Use Kmaps for simplification. Be VERY careful to get the correct functions for your output before simplifying and designing the circuit with Logisim. You should minimize the circuit. Your circuit should have three inputs and one LED output. All inputs (X2, X1, X0) and output (F) should be labeled (in Logisim, not by hand). Please use these names to indicate the inputs and output so all projects are consistent. You should also include your name as a label on the circuit. Test your circuit to be sure it is working correctly.