## Truth table - Wikipedia

### Truth function - Wikipedia

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Warning 2 : This is a long post, so I'm going to provide a TLDR at the top (right under this, in fact), but as noted above, a part of the reason it's long is because it's a complex issue and there's a lot of nuance. So I strongly advise that if your initial response to my TLDR version is "fuck you, you're so wrong because..." maybe try reading the whole post first, and then when you go down to the comments to write out "fuck you, you're so wrong..." you can explain yourself clearly and thoroughly and address the actual points in the post. Thanks!

- Tim demonstrates how binary numbers are stored.
- Mr Idosaka shows how magnetic binary number cards can be used on a whiteboard
- Tim explains Binary Numbers
- Binary Numbers Activity at Fujitsu Kids event with JOI, Japan
- Caitlin demonstrates binary
- Students using cards to count in binary
- Using small cards to count in binary

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In logic, a truth function is a function that accepts truth values as input and produces a truth value as output, ., the input and output are all truth values.

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Because, in binary logic there are only two states, 1 and 0 or ‘on and off,’ NOT in the world of binary logic therefore means ‘the opposite of’. If something is not 1 it must be 0, if it is not on, it must be off. So NAND (not AND) simply means that a NAND gate performs the opposite function to an AND gate.

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That’s why SQL has the is null predicate to test whether a value is null or not and the is not distinct from predicate to compare two values while treating two null values as the same.

The display is only sensible if the binary number is between DCBA=0000 (0) and DCBA=1001 (9); this is called Binary Coded Decimal or BCD for short. If the number is larger than 9 you get a strange output on the display. Try this out by moving your mouse over the truth table.

Classical propositional logic is a truth-functional propositional logic , [3] in that every statement has exactly one truth value which is either true or false, and every logical connective is truth functional (with a correspondent truth table ), thus every compound statement is a truth function. [4] On the contrary, modal logic is non-truth-functional.

A truth table has one column for each input variable (for example, P and Q), and one final column showing all of the possible results of the logical operation that the table represents (for example, P XOR Q). Each row of the truth table contains one possible configuration of the input variables (for instance, P=true Q=false), and the result of the operation for those values. See the examples below for further clarification. Ludwig Wittgenstein is often credited with inventing the truth table in his * Tractatus Logico-Philosophicus * , [1] though it appeared at least a year earlier in a paper on propositional logic by Emil Leon Post . [2]