Question 17Convert the following octal numbers to binary:(a) 7642

Question

Accepted Answer

OctalNumberBinaryEquivalent2010410061107111Therefore, (7642)8 = (111undefined 110undefined 100undefined 010undefined\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{110}}\medspace\bold{\underlinesegment{100}}\medspace\bold{\underlinesegment{010}}111​110​100​010​)2(b) 7015OctalNumberBinaryEquivalent5101100100007111Therefore, (7015)8 = (111undefined 000undefined 001undefined 101undefined\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{000}}\medspace\bold{\underlinesegment{001}}\medspace\bold{\underlinesegment{101}}111​000​001​101​)2(c) 3576OctalNumberBinaryEquivalent6110711151013011Therefore, (3576)8 = (011undefined 101undefined 111undefined 110undefined\bold{\underlinesegment{011}}\medspace\bold{\underlinesegment{101}}\medspace\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{110}}011​101​111​110​)2(d) 705OctalNumberBinaryEquivalent510100007111Therefore, (705)8 = (111undefined 000undefined 101undefined\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{000}}\medspace\bold{\underlinesegment{101}}111​000​101​)2

Octal Number	Binary Equivalent
2	010
4	100
6	110
7	111

Octal Number	Binary Equivalent
5	101
1	001
0	000
7	111

Octal Number	Binary Equivalent
6	110
7	111
5	101
3	011

Octal Number	Binary Equivalent
5	101
0	000
7	111

Data Representation — Question 17

Question 17