Nick, Gordon, and Lauren AND 4 Input Research Question: What is the output under various conditions of an AND gate with four inputs? Hypothesis: We will construct a truth table and make our best guesses about what the output will result in. Inputs Hypotheses Actual Results A B C D A AND B AND C A AND B AND C 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 Nick, Gordon, and Lauren Results: Our hypothesis was correct. As seen in the results the four circuits did not light up the LED in any of the experiements except for when all four of them were in the on position. We came to this hypothesis because we believed that in order for the electricty to flow through an AND gate they would all have to be in 1 positions. Nick, Gordon, and Lauren OR 3 Input Research Question: What is the output under various conditions of an OR gate with three inputs? Hypothesis: We will construct a truth table and make our best guesses about what the output will result in. Inputs Hypotheses Actual Results A B C A OR B OR C A OR B OR C 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 Results: This experiment our hypothesis was correct. We assumed that OR gates would provide electricity to the LED regardless what switch pattern was used. As seen in the data above the only time the LED does not light up is when all the switches are in 0. If one or more switches is turned on than the current will flow through the OR gate. Nick, Gordon, and Lauren XOR 3 input Research Question: What is the output under various conditions of an XOR gate with three inputs? Hypothesis: We will construct a truth table and make our best guesses about what the output will result in. Inputs Hypotheses Actual Results A B C A XOR B XOR C A XOR B XOR C 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 The table above proves that our hypothesis was correct. From the results in our experiment we have come to the conlusion that the output of an XOR gate is only 1 when all three inputs are 1 or when only 1 input is 1. For futher research we plan to try a 4-input gate and would think that the output of the XOR gate is only 1 when all four inputs are 1 or just when 1 input is 1. Nick, Gordon, and Lauren NAND 3 Input Research question: What is the output under various conditions of an NAND gate with three inputs? Hypothesis: We will construct a truth table and make our best guesses about what the output will result in. Inputs Hypotheses Actual Results A B C A NAND B NAND C A NAND B NAND C 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0 The table above proves that our hypothesis was incorrect. From the results of our experiment we have determined that the output of an NAND gate is 1 with any combination of the input except when all inputs are 1. For further research we plan to try a 4-input gate and would think that the output of the NAND gate will be 1 every time except when all 4 inputs are 1. NOR 4 Input Nick, Gordon, and Lauren Research question: What is the output under various conditions of an NOR gate with four inputs? Hypothesis: We will construct a truth table and make our best guesses about what the output will result in. Inputs Hypotheses Actual Results A NOR B NOR C A NOR B NOR C D A B C 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 Nick, Gordon, and Lauren Results: Our hypothesis showed us picking any 2 inputs or no inputs as making the LED light up. We thought this would work because the OR was any single input or any 2 or all of them. We thought that since OR was that, that NOR would be the opposite, but it turned out that only all of the inputs in the off position would turn it on. After seeing this take place we realized that because this is an N gate there is no inputs but still a current flow. Nick, Gordon, and Lauren XNOR 4 input Research Question: What is the output under various conditions of an XNOR gate with four inputs? Hypothesis: We will construct a truth table and make our best guesses about what the output will result in. Inputs Hypotheses D A B C 0 0 0 0 0 0 Actual Results A XNOR B A XNOR B XNOR C XNOR C 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 Nick, Gordon, and Lauren Results: We thought that pairs of 2 inputs would make the light come on and when we tested it we we were correct. We knew this would be the opposite of NOR which is almost like OR. Any 2 inputs, no inputs and all the inputs make the LED activate. Questions Raised? I think that these logic gates raised some questions such as, how do these apply to specific processes in the computer and when we run programs etc. Is it possible to have more than 4 inputs? Can we have one gate connecting more than one LED?