Design an arithmetic circuit with one selection variable S and two n-bit data inputs A and B. The circuit generates the following four arithmetic opera- tions in conjunction with the input carry Cin. Draw the logic diagram for the first two stages. S Cin = 0 Cin = 1 %3D D = A + B (add) D = A – 1 (decrement) D = A + 1 (increment) D = A + B + 1 (subtract) 1

A computer circuit is to generate a 1 if the decimal value of the binary number X3X2X1X0 is either 0, 2, 3, 6, 10, 11, or 14. Write a truth table representing the above logic Write a boolean expression for F(X3X2X1X0)

2. Design a logic circuit with two inputs and 4 outputs, with each of the outputs hooked up to an LED. Only the first LED should light up when the input values are 00. Only the next LED should light up with the input values are 01. Only the following LED should light up for 10, and only the last LED should light up for input 11. Thus for each input combination, you should have one LED only being lit. This is called a DECODER circuit, you are decoding 2 bit binary input to one of 4 discrete outputs. a. Create the truth table (use the standard truth table format). b. Write a Boolean expression that corresponds to the truth table.

From the circuit below : A B- Cin -Cout a. From the input signal A,B,Cin draw the output signal S and Cout b. If possible, simplify the circuit and draw the simple circuit INPUTA INPUT INPUT- OUTRUT Cout