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Precalculus Mathematics Homework Help
Logic: exclusive-OR statements to form AND/OR statements
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[QUOTE="Back2College, post: 5711533, member: 473642"] [h2]Homework Statement [/h2] Using only NOT and XOR, construct a compound statement having the same truth table as: (a) [I]p [/I]OR [I]q[/I] (b) [I]p [/I]AND [I]q[/I] [h2]Homework Equations[/h2] XOR is "exclusive OR." [I]p [/I]XOR [I]q [/I]= ([I]p [/I]OR [I]q[/I]) AND NOT ([I]p [/I]AND [I]q[/I]). I have been working under the assumption that I can use parentheses. [h2]The Attempt at a Solution[/h2] I know the truth tables for ([I]p [/I]OR [I]q[/I]) and ([I]p [/I]AND [I]q[/I]) are TTTF and TFFF, respectively. So, either three Trues and one false or one True and three Falses. However, when I use only NOT and XOR I always get two Trues and two Falses. So far this has been the case no matter which combination I try or how many XORs I string together. It's always some combination of two Trues and two Falses. Can anyone give me a hint? Thanks. [/QUOTE]
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Precalculus Mathematics Homework Help
Logic: exclusive-OR statements to form AND/OR statements
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