For a two input device, input 0 & 0 = output 0, 0 & 1 = 1, 1 & 0 = 1, 1 & 1 = 1.
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a XOR bis equivalent to: (a AND NOT b) OR (b AND NOT a)
Because if input A *and* input B is true, then the output is true! Truth table of AND gate: ┌─┬─╥───────┐ │A│B║Q (Output)│ ├─┼─╫───────┤ │0│0║0..............│ ├─┼─╫───────┤ │0│1║0............. │ ├─┼─╫───────┤ │1│0║0............. │ ├─┼─╫───────┤ │1│1║1............. │ └─┴─╨───────┘
truth table contains inputs and excitation table takes outputs as inputs
Truth table of 'NAND' is 0 0 - 1 0 1 - 1 1 0 - 1 1 1 - 0 NAND is just opposite of AND as the name itself suggest NAND is the not of AND Truth table of "NOR" is 0 0 - 1 0 1 - 0 1 0 - 0 1 1 - 0 NOR is just opposite of OR as the name itself suggest NOR is the not of OR.
As inputs to the truth table 1 and 1 signify that they are both true. The output will depend on what kind of truth table we are talking about, AND, OR, XOR, etc.