Arithmetic of Computers

Arithmetic of Computers

from Tenscope Limited

Lesson 8

Octal Arithmetic

The sum gets a bonus

Page 269

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Your answer :
68 + 58 = 138.
Correct. If you count five numbers beyond 6 in the octal system, you reach 138\uuline default\uwave default.
six plus fivemore  ⁄ 18 28 38 48 58 68\  ⁄ 78 108 118 128 138\ 148 158
As you recall from ordinary arithmetic, you can solve any problem in addition if you know the sum of any two single-digit numbers. So your only problem in octal addition is to learn the sums of each possible pair of single-dgit octal numbers. Thus you must learn such sums as 68 + 58 = 138, 78 + 78 = 168, 38 + 78 = 128, etc. These may look odd to a person trained in the decimal system, but fortunately there is an easy way to find the sum of any two single-digit octal numbers. Here is the “trick”: To add any two single-digit octal numbers, ass them as decimal numbers; then, if the decimal sum is more than 7, add 2 to get the sum written in octal notation.
78 + 68 = 
Add as in decimal:
7 + 6 = 13.
The decimal sum is more than 7, so add 2 more:
13 + 2 = 15.
And you have the sum in octal notation:
78 + 68 = 158.
Try this method in adding 58 + 58.
Answer :
58 + 58 = 108.

Go to Page 265

58 + 58 = 128.

Go to Page 275


 

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