# Decimal to Binary Conversion by lonyoo

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```									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

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
lesson.

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

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
a. 0.210
b. 0.310
c. 0.410

tinyurl.com/binaryteh
lesson.

Binary Arithmetic
Questions:

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

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

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