Questions:

1. What is the general technique for converting a decimal fraction to binary?   [Answer]
   
   
2. When converting a decimal fraction to binary with repeated multiplication, does the product of your first multiplication tell you the least significant digit of your answer or the most significant digit of your answer?   [Answer]
   
   
3. Convert the following numbers to their binary equivalents.   [Answer]
   
   1. 0.5₁₀
   2. 0.25₁₀
   3. 0.625₁₀
   4. 0.75₁₀
   5. 0.4375₁₀
   6. 0.59375₁₀
   
   
4. Consider the decimal number 15.75₁₀. How can we convert this entire number (both the integer and fractional parts) to binary?   [Answer]
   
   
5. Convert the following numbers to their binary equivalents.   [Answer]
   
   1. 27.375₁₀
   2. 33.75₁₀
   3. 54.125₁₀
   4. 47.875₁₀
   5. 78.625₁₀


6. Why do programmers need to be careful when they write programs which perform many mathematical calculations?   [Answer]
   
   
7. Convert the following decimal numbers to binary. Work until you are sure your binary answer is repeating.   [Answer]
   
   1. 0.2₁₀
   2. 0.3₁₀
   3. 0.4₁₀