2-28Q30.Q31.Q32.BOOLEAN ALGEBRABoolean logic, or Boolean algebra as it is called today, was developed by an English mathematician,George Boole, in the 19th century. He based his concepts on the assumption that most quantities have twopossible conditionsTRUE and FALSE. This is the same theory you were introduced to at thebeginning of this chapter.Throughout our discussions of fundamental logic gates, we have mentioned Boolean expressions. ABoolean expression is nothing more than a description of the input conditions necessary to get the desiredoutput. These expressions are based on Boole’s laws and theorems.PURPOSEBoolean algebra is used primarily by design engineers. Using this system, they are able to arrangelogic gates to accomplish desired tasks. Boolean algebra also enables the engineers to achieve the desiredoutput by using the fewest number of logic gates. Since space, weight, and cost are important factors inthe design of equipment, you would usually want to use as few parts as possible.

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