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Computer Science

Convert the following octal numbers to binary:

(a) 123

(b) 3527

(c) 705

Number System

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Answer

(a) 123

Octal
Number
Binary
Equivalent
3011
2010
1001

Therefore, (123)8 = (001undefined010undefined011undefined\bold{\underlinesegment{001}}\medspace\bold{\underlinesegment{010}}\medspace\bold{\underlinesegment{011}})2

(b) 3527

Octal
Number
Binary
Equivalent
7111
2010
5101
3011

Therefore, (3527)8 = (011undefined101undefined010undefined111undefined\bold{\underlinesegment{011}}\medspace\bold{\underlinesegment{101}}\medspace\bold{\underlinesegment{010}}\medspace\bold{\underlinesegment{111}})2

(c) 705

Octal
Number
Binary
Equivalent
5101
0000
7111

Therefore, (705)8 = (111undefined000undefined101undefined\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{000}}\medspace\bold{\underlinesegment{101}})2

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