Design a combinational circuit with three inputs and one output. The output is 1 when the binary value of the input is less than 3. The output is 0 otherwise. Show truth table. Design a combinational circuit with three inputs x,y,z and three outputs, A,B, C. When the binary input is 0, 1, 2 or 3, the binary output is one greater than the input. When the binary input is 4,5, 6 or 7, the binary output is one less than the input. Show truth table.

6. Predict the output from each gate for the input variables shown: C A D B E Find out the values of C, D, E, F and G (show your calculation how you are getting the numbers) Input: A = 0 and B = 0 Find C, D. E, F, and G Each answer will be either 0 or 1

find the output of the given circuits. 5. x y 2 KANK x y x A

Write truth tables and unsimplified Boolean expressions for each of the output signals F1 and F2 in the following circuit. Create the boolean expressions via a direct translation of the circuit.

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.

10. Find the output of the given circuits. a. b. X y Z X y Z X y Z X o

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

The truth table for a Boolean expression is shown on figure1.  A, B, C, D are inputs and Y is the output Write the Boolean expression on SOP form Y = f (A, B, C, D) Minimize the function using Karnaugh Map (K Map) Draw the minimized function using logic gates

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