p is "1024 bytes is known as 1MB"q is "A computer keyboard is an example of a data input device".Express the following compound propositions as English sentences in as natural a way as you can. Are the resulting propositions true or false?(a) p ∧ q(b) p ∨ q(c) ¬p
Question
p is "1024 bytes is known as 1MB"q is "A computer keyboard is an example of a data input device".Express the following compound propositions as English sentences in as natural a way as you can. Are the resulting propositions true or false?(a) p ∧ q(b) p ∨ q(c) ¬p
Solution
(a) The statement "1024 bytes is known as 1MB and a computer keyboard is an example of a data input device" is false. This is because 1024 bytes is actually known as 1KB (Kilobyte), not 1MB (Megabyte).
(b) The statement "1024 bytes is known as 1MB or a computer keyboard is an example of a data input device" is true. While the first part of the statement is false, the second part is true, making the entire statement true due to the 'or' operator.
(c) The statement "It is not true that 1024 bytes is known as 1MB" is true. As mentioned before, 1024 bytes is known as 1KB, not 1MB.
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