You can skip 3,4 and 5 . I need help with the rest Build truth tables for the fo

Question

You can skip 3,4 and 5 . I need help with the rest

Build truth tables for the following SOP expressions. Give the SOP and POS expressions for the following truth table. Build the truth table for the output value Z for the following logic circuit. How many output lines will a five-input decoder have? How many output lines will a 16-input multiplexer (MUX) have? How many select lines will this multiplexer have? Design an 8-to-1 MUX using one 2-to-1 MUX and two 4-to-1 MUXs one 4-to-1 MUX and four2-to-1 MUXs Word problem # 9 - burglar alarm system. Show all design stages. For the following Karnaugh maps, show the maximum groupings and minimal logic equation. For the following Karnaugh maps, show the maximum groupings (including don't-cares if appropriate) and minimal logic equation.

Explanation / Answer

4) Decoder will have 32 lines

2^5 = 32.

5)Multiplexer has many input and one output. output of multiplexer is log base 2 of the number of inputs. Hence 16 input will have 4 .

6)The 8 inputs would be connected to the two 4-1's using two of the selector inputs and the outputs of the two 4-1's would be connected to the 2-1 using the third selector input.

If the 4-1's have tri-state ouputs, you can eliminate the 2-1, and use the third selector input, and its complement, to drive the two 4-1's. You will need an inverter in this case. You just need to be careful that the 4-1's do not drive the output at the same time - this could result in large current spikes on GND and VCC, and you don't want that - open collector outputs, as opposed to totem pole outputs, are a wonderful solution to this problem - it all depends on required propagation delay time

7)Hope this suits what you actually expect from design. Generally, alarm system can consist of 5 parts. They are security sensor or detectors, gate entering alarm, perimeter protection defense, Video recording linkage, Network Alarm Report or sending.
These 5 parts can be applied independently or integrated according to actual requirement.

The rest part is selecting proper circuits for each and assembling them.

The common sensors may be, using laser beam and an LDR, once the beam of light is cut by an obstacle lets say a bulglar then the LDR resistance will change, this signal is amplified using amplifiers and alarm is triggred. Also a touch based alarm which detects the capacitance of human skin is used. In more professional alarms, a video survelience system is fitted.

The steps remain same.

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