Arithmetic of Computers

Arithmetic of Computers

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Lesson 7

Decimals to Octals

. . . and back again

Page 231

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Your answer :
Octal.
We were discussing the numbers written on the right-hand side of the equal sign in the expansion of 368, as shown below:
368  = 3(81) + 6(80)  = 3(8) + 6(1)  = 2410 + 610  = 3010.
All of the numbers written on the right of the equal (=) sign above are meant to be read as decimal numbers. Obviously (81) can’t be an octal number, since we don’t have a digit 8 in the octal system.
The reason for stressing this point is that when we are discussing two number systems it is necessary to be absolutely clear how a particular number is to be read. To tell the truth, we’ve been a little sloppy in writing such expressions as 3(81) without the decimal subscript. But 310(8110) is a rather clumsy expression, isn’t it? So we shall rely on you to remember that a number with no subscript is always meant to be read as a decimal number.
Now return to Page 236 and choose the other answer.
 

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