ANSWERS to problems on page 1-22:

a.

.25

b.

.625

c.

.375

d.

.4375

e.

.75

f.

.9375

g.

.03125 (This value is equal to 1/32 or can be determined by dividing the preceding value of

.0625 by 2.)

To convert a base 10 fraction (decimal) to a binary fraction, multiply the fraction by 2. Remove the

value to the left of the decimal (whether 0 or 1), and continue to multiply by 2 and remove the whole

number, until no fraction remains, or until you have enough places for your purpose. The 0's and 1's you

remove, written in order to the right of the binary point, become the resulting binary fraction.

For example, convert .625 to a binary fraction:

List the numbers removed to the right of the binary point: .101

Following the procedure shown above, convert .8125 to a binary fraction. Check your answer on the next

page.

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