Draw circuits for the following Boolean expressions

For this module you will design some simple digital circuits based on Boolean expressions. Draw circuits that implement the following Boolean expressions using some combination of AND, OR, NOT, NAND, and NOR gates. (I recommend you draw your circuits on white paper with black pen, scan the images, and paste them into your Word document.)

- NOT X OR NOT Y OR Z

- X OR Y OR NOT Z

- NOT X AND Y OR NOT Y AND Z

Write a paper discussing your design. Please include the following:

2. Truth tables that indicate the output (a 0 or a 1) for each possible combination of values of X, Y, and Z.

3. A clear explanation of the relationship between Boolean Algebra and the circuits that you designed.

Solution Preview

I have worked out the given job in a separate word file as you requested to do and I also have generated one pdf file for the same. ( I Recommend you to download the attached files to see the Final solution.)
================================================

Solution:
The OR gate is shown ...

Solution Summary

The OR gate can be represented by addition in the Boolean Algebra. For example if two inputs x, y are used with OR such that, X OR Y then logically, it can be shown as X + Y.

The AND gate can be represented by multiplication in the Boolean Algebra. For example if two inputs x, y are used with AND such that, X AND Y then logically, it can be shown as X.Y.

... a) Construct a truth table for the circuit. ... for outputs Y and Z. d) Design minimised circuits using just ... minimal Boolean Expression for output V we draw the K ...

... e) Draw and label a diagram showing the connections among ... the Boolean algebra expression in logic circuits, we have ... The inputs of the circuit are the 7 bits of ...

... The outputs of the circuit are A, B and C ... a Karnaugh map for output A. Note when drawing Karnaugh Maps ... C as C=(D1) ̅ Resultant Boolean expressions outputs in ...

... 2. Draw a simple NOT, AND, OR circuit in sum of products (SOP) form that represents the equation above. 3. The truth table for a Boolean expression is shown ...

... a NOR gate in terms of Boolean Algebra and draw truth tables ... just one kind of chip and many circuits are made ... We can build a circuit using a Boolean expression...

... next state table derived in (A7) draw arrows to ... design is provided as the starting circuit implementation and ... Analysing clocked flip-flop type circuits using K ...

... algebra (and the Boolean equalities) or the Karnaugh map to simplify the Boolean expression. ... c) Draw the logic diagram for the simplified circuit if each ...