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Reformatted August 2009 | ||||||
Generating Binary Numbers with a Logical Process:This requires a situation that may be discovered through a sequence of questions that may be answered with "yes" or "no." In the classroom where this was used, a new student was picked each day for certain tasks. The class would determine which student was picked by asking questions: "Is it a girl?" "Is it a student at the red table?" All students would start by standing. If a question eliminated them, they would sit. Questions would be asked until only one student was standing. Method 1: As each question is asked a "1" is marked if the answer is "yes," a "0" is marked if the answer is "no." Once the final answer is found a binary number exists in the sequence of 1's and 0's. Students who have been exposed to binary may convert this number back to decimal. Method 2: In this method a student will be picked out as in the example given. As each question is asked, each student marks a "1" if they would answer "yes," and a "0" if they would answer no. For example with "Is it a girl?", all the girls will mark "1" and all the boys will mark "0." Once the end is reached, each student will have a different binary number, distinct from all the other students in the class. |
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Generating a Logic Tree:Diagram the questions in order to show which students are on the yes or no side of each question:
Estimating the Efficiency of the Logical Process:Follow the same steps as above. Count the number of steps (questions). The lower the number of steps, the higher the efficiency. A complete measure of efficiency will occur when each student in the class (or each element) has a distinct number (method 2 above.) For example, if students ask questions like, "Is it me?" It will take 1 question for every student in class. If they ask questions like, "Is it a girl?" it will take a bout 5 questions for a class of 32. |
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