4- Design the logic circuit of 4-to16 decoder using basic logic gates. Find its truth table and logic diagram. 5- What is the purpose of encoder circuit? 6- What is the purpose of decoder logic circuits?

Can you name a few potential uses for the logic synthesis device?

5 Note: Please do not handwritten.

Define a 2-bit demultiplexer to be a circuit whose single input line is steered to one of the four output linesdepending on the state of the two control lines (A, B). Draw its logic diagram (to the gate level) and specify the exactstate of A and B for each output line when that output line is selected.

Design a " 2 to 4" Decoder with SEL' (active lo) 1. Generate the logic gates and the equations 2. Draw the timing waveforms for all inputs/SEL and output. 3. Create an application that could use this simple Decoder

a) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.