Arithmetic of Computers

Arithmetic of Computers

from Tenscope Limited

Lesson 6

The Octal System

From eight to ten

Page 215

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Your answer :
208  = 1610 2008  = 12810 1748  = 12410 1, 1118  = 58510  This group contains a mistake.
Well, let’s check by writing the octal numbers in expanded form:
208  = 2(81) + 0(80)  = 2(8) + 0(1) = 1610; 2008  = 2(82) + 0(81) + 0(80)  = 2(64) + 0(8) + 0(1) = 12810; 1748  = 1(82) + 7(81) + 4(80)  = 1(64) + 7(8) + 4(1) = 12410; 1, 1118  = 1(83) + 1(82) + 1(81) + 1(80)  = 1(512) + 1(64) + 1(8) + 1(1) = 58510.
They’re all correct. Return to Page 182 and try again.
 

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