Arithmetic of Computers

Arithmetic of Computers

from Tenscope Limited

Lesson 7

Decimals to Octals

. . . and back again

Page 247

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Your answer :
21.448 rounds to 218.
In the octal system, 4 occupies the same sort of position as does 5 in the decimal system; that is 4 is (1)/(2) of the octal base just as 5 is (1)/(2) of the decimal base. Therefore,
.48 = (1)/(2) = .510.
Since .48 = (1)/(2), .448 is more than (1)/(2), isn’t it? And thus 21.448 is closer to 228 than to 218.
Now return to Page 241 and select the correct answer.
 

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