Arithmetic of Computers

Arithmetic of Computers

from Tenscope Limited

Lesson 8

Octal Arithmetic

The sum gets a bonus

Page 264

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Your answer :
68 + 58 = 118.
Look at the two diagrams below, which show the addition of 5 to 6 in the octal and decimal systems:
OCTAL
six plus fivemore  ⁄ 18 28 38 48 58 68\  ⁄ 78 108 118 128 138\ 148 158
DECIMAL
six plus fivemore  ⁄ 110 210 310 410 510 610\  ⁄ 710 810 910 1010 1110\ 1210 1310
When you count five numbers beyond 6 in the octal system, you reach 138, not 118, don’t you? Since 138 = 1110, the quantity you reach is the same in both systems, but it is written 138 in octal and 1110 in decimal.
Now return to Page 259 and choose the right answer.
 

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