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Boolean Algebra is a mathematical technique that provides the ability to algebraically simplify logic expressions. These simplified expressions will result in a ...
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Boolean Algebra is a mathematical technique that provides the ability to algebraically simplify logic expressions. These simplified expressions will result in a logic circuit that is equivalent to the original circuit, yet requires fewer gates.
George Boole lived in England in the 19th century. His work on mathematical logic , algebra , and the binary number system has had a unique influence upon the development of computers. Boolean Algebra is named after him.
X 0
0
Single Variable - AND Function
Theorem #
X X
X
X Y Z
0 0 0
0 1 0
1 0 0
1 1 1
Single Variable - AND Function
Theorem #
X (^0)
X
X X 0
X Y Z
0 0 0
0 1 0
1 0 0
1 1 1
Single Variable - AND Function
Theorem #
X 1
1
Single Variable - OR Function
Theorem #
X X
X
Single Variable - OR Function
Theorem #
X X 0 1 0
1 0 1
Single Variable - Invert Function
X X X
Theorem #
Simplify the following Boolean expression and note the Boolean theorem used at each step. Put the answer in SOP form.
F 1 A A B C CD
F 1 A A B C CD
Theorem # 3: X X X
F 1 A A B C CD
Theorem # 3: X X X
F 1 A B CCD
F 1 A B CCD