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Computer Science

Convert the following octal numbers to binary:

(a) 7642

(b) 7015

(c) 3576

(d) 705

Number System

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Answer

(a) 7642

Octal
Number
Binary
Equivalent
2010
4100
6110
7111

Therefore, (7642)8 = (111undefined110undefined100undefined010undefined\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{110}}\medspace\bold{\underlinesegment{100}}\medspace\bold{\underlinesegment{010}})2

(b) 7015

Octal
Number
Binary
Equivalent
5101
1001
0000
7111

Therefore, (7015)8 = (111undefined000undefined001undefined101undefined\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{000}}\medspace\bold{\underlinesegment{001}}\medspace\bold{\underlinesegment{101}})2

(c) 3576

Octal
Number
Binary
Equivalent
6110
7111
5101
3011

Therefore, (3576)8 = (011undefined101undefined111undefined110undefined\bold{\underlinesegment{011}}\medspace\bold{\underlinesegment{101}}\medspace\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{110}})2

(d) 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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