Docstoc

Decimal to Binary Conversion

Document Sample
Decimal to Binary Conversion Powered By Docstoc
					Grade 11 Computer Science



Decimal to Binary Conversion

Questions:

  1. What is the general technique for converting a decimal number to
     binary? []

  2. Which digit is the least significant digit of a number? Which digit is
     the most significant digit of a number? []

  3. When converting a decimal number to binary with repeated
     division, does the remainder from your first division represent the
     least significant digit of your answer or the most significant digit of
     your answer? []

  4. Convert the following numbers to their binary equivalents. []
       a. 3710
       b. 2310
       c. 1410
       d. 710
       e. 610



  5. Convert the following numbers to their binary equivalents. []
       a. 3010
       b. 50010
       c. 9910
       d. 101010




tinyurl.com/binaryteh
Click on the drop down menu “Jump to Lesson” to go to the correct
lesson.
Grade 11 Computer Science


Converting Fractions

Questions:

  1. What is the general technique for converting a decimal fraction to
     binary? []

  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? []

  3. Convert the following numbers to their binary equivalents. []
       a. 0.1510
       b. 0.3510
       c. 0.72510
       d. 0.7510
       e. 0.347510
       f. 0.6737510



  4. Consider the decimal number 25.2510. How can we convert this
     entire number (both the integer and fractional parts) to binary? []

  5. Convert the following numbers to their binary equivalents. []
       a. 27. 7510
       b. 13.7510
       c. 54.11510
       d. 27.87510
       e. 78.61510



  6. Why do programmers need to be careful when they write programs
     which perform many mathematical calculations? []

  7. Convert the following decimal numbers to binary. Work until you are
     sure your binary answer is repeating. []
        a. 0.210
        b. 0.310
        c. 0.410

tinyurl.com/binaryteh
Click on the drop down menu “Jump to Lesson” to go to the correct
lesson.
Grade 11 Computer Science




Binary Arithmetic
Questions:

  1. How can you rewrite the problem 6 * 4 so that it is simply a repeated
     addition problem? []

  2. How can you rewrite the problem 40 / 8 so that it is simply a
     repeated subtraction problem? []

Addition
Questions:

  1. Write the four rules of binary addition. []

  2. What happens whenever we add two 1's together in binary? []

  3. What do you think would happen if you tried to add a column of
     four 1's? []




tinyurl.com/binaryteh
Click on the drop down menu “Jump to Lesson” to go to the correct
lesson.

				
DOCUMENT INFO