Circuit Designs: Create a Logic Diagram (circuit diagram using gates) for the out4, out3, and out1 Boolean expressions you formed in the previous step.
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Truth table:
Form a Truth Table that has 4 inputs and 4 outputs. The heading of the table should look like this:
| a2 | a1 | b2 | b1 | out4 | out3 | out2 | out1 |
|---|
The table should have 16 rows, corresponding to the 16 different input patterns. Input value a2 corresponds to the left bit of a 2-bit number called a; a1 is the right bit of a. b2 and b1 are the left and right bits of a second 2-bit number called b. The output bits out4 through out1 represent the binary version of the product of a and b -- out4 is the left-most bit of the product, out1 is the right-most bit, etc.
Boolean Expression:
Form a Boolean Expression for each of the output columns in your table, using the techniques seen in class. You must have 4 separate Boolean Expressions for this part; one each for out1, out2, out3, and out4. Each of your Boolean Expressions should have as many terms (the things being "added" together) as there are 1's in the column for that output bit.
Circuit Designs:
Create a Logic Diagram (circuit diagram using gates) for the out4, out3, and out1 Boolean expressions you formed in the previous step.
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