1. To trial the platform and take tests, please take a few seconds to SIGN UP
and SET UP FREE.
2. Searching for something specific? See our text overview of all tests. Includes 'real teacher' use videos.
Augustus De Morgan (27 June 1806 – 18 March 1871) was a British mathematician and logician. He formulated De Morgan's laws.
1. Augustus De Morgan was born in Madurai, in India in 1806.
2. Augustus De Morgan became blind in one eye a month or two after he was born.
De Morgan's Laws describe how mathematical statements and concepts are related through their opposites. De Morgan's Laws are also applicable in computer engineering for developing logic gates.
De Morgan's Laws
Not (A and B) is the same as Not A or Not B.
Not (A or B) is the same as Not A and Not B.
Example 1
Use De Morgan's law on the expression NOT(A AND B AND C).
We can represent this as ¬(A Λ B Λ C) or our preferred notation
ABC
Applying the De Morgan's rule that states XY ≡ X + Y we get
ABC ≡ A + B + C
Example 2
Use De Morgan's law on the expression NOT(A OR B OR C).
We can represent this as ¬(A V B V C) or our preferred notation
A + B + C
Applying the De Morgan's rule that states X + Y ≡ X Y we get
A + B + C ≡ A B C
www.teachyourselfpython.com