Arithmetic of Computers

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Lesson 6

The Octal System

From eight to ten

Page 206

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Your answer :

.54₈ = (44)/(64).

You’re on the right track. .54₈ is 5(8^− 1) + 4(8^− 2), or

5⎛⎝(1)/(8)⎞⎠ + 4⎛⎝(1)/(64)⎞⎠ =

(5)/(8) + (4)/(64) = (44)/(64).

This is an ordinary fraction, which isn’t reduced, of course. You were asked to convert to a decimal fraction. Go back to Page 209 and finish the job.