The purpose of this lab was to design, implement, and study binary arithmetic
using general AND, OR, and INV gates in addition to a 4 to 1 multiplexer. This was done
by first designing a Full Adder using exclusive or gates to represent the sum, as well as
and/or gates representing the Cout. The next part was to Design a Full Adder by using
two 4 to 1 multiplexers one representing the sum and Cout again. After that the goal was
to make a four bit adder, in essence a calculator with only a plus button from the two
circuits we had just designed. Lastly was the task to create an adder and subtracter using
the actually Adder circuit, making a very generic calculator.
Part one (as demonstrated in diagrams 1.1 & 2.1) was based largely on a addition
truth table, where the sum was the result of and addition between the carry in, and either
A, B or both. Then by putting the result into a Kmap, we get the Circuit diagram needed
to complete part one. As for part two, shrinking down the 8 value truth table into a 4
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 Winter '07
 Dr.K
 Addition, exclusive or, two bit, four bit, value truth table

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