Lesson 6
The Octal System
From eight to ten
Page 215
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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