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Computer Science

Convert the following binary numbers to octal

(a) 111010

(b) 110110101

(c) 1101100001

Number System

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Answer

(a) 111010

Grouping in bits of 3:

111undefined010undefined\underlinesegment{111} \quad \underlinesegment{010}

Binary
Number
Equivalent
Octal
0102
1117

Therefore, (111010)2 = (72)8

(b) 110110101

Grouping in bits of 3:

110undefined110undefined101undefined\underlinesegment{110} \quad \underlinesegment{110} \quad \underlinesegment{101}

Binary
Number
Equivalent
Octal
1015
1106
1106

Therefore, (110110101)2 = (665)8

(c) 1101100001

Grouping in bits of 3:

001undefined101undefined100undefined001undefined\underlinesegment{001} \quad \underlinesegment{101} \quad \underlinesegment{100} \quad \underlinesegment{001}

Binary
Number
Equivalent
Octal
0011
1004
1015
0011

Therefore, (1101100001)2 = (1541)8

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