Arithmetic of Computers

Arithmetic of Computers

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Lesson 6

The Octal System

From eight to ten

Page 200

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Your answer :
448  = 3610 3168  = 20410 2348  = 15610 7008  = 44810 ⎫⎪⎪⎬⎪⎪⎭ This group contains a mistake.
You are correct. 3168 = 20610, not 20410.
3168  = 3(82) + 1(81) + 6(80)  = 3(64) + 1(8) + 6(1) = 20610.
Very well, we have given you this drill in translating octal to ordinary decimal numbers to get rid of any mystery about octal numbers. Remember, any time you are puzzled by an octal number, you can always expand it and calculate the decimal equivalent. That will take all the fight out of it.
We have so far dealt with the expansions of whole numbers. What would be the proper expansion of the octal number 13.48?
Answer :
13.48 = 1(82) + 3(81) + 4(80).

Go to Page 181

13.48 = 1(81) + 3(80) + 4(10 − 1).

Go to Page 189

13.48 = 1(81) + 3(80) + 4(8 − 1).

Go to Page 204

Let’s go over this “expansion” business again.

Go to Page 210

 

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