CBSE Class 11 Computer Science Question 77 of 91

Data Representation — Question 8

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8
Question

Question 8

Convert the following binary numbers to hexadecimal:

(a) 10011011101

Answer

Grouping in bits of 4:

0100undefined1101undefined1101undefined\underlinesegment{0100} \quad \underlinesegment{1101} \quad \underlinesegment{1101}

Binary
Number
Equivalent
Hexadecimal
1101D (13)
1101D (13)
01004

Therefore, (10011011101)2 = (4DD)16

(b) 1111011101011011

Grouping in bits of 4:

1111undefined0111undefined0101undefined1011undefined\underlinesegment{1111} \quad \underlinesegment{0111} \quad \underlinesegment{0101} \quad \underlinesegment{1011}

Binary
Number
Equivalent
Hexadecimal
1011B (11)
01015
01117
1111F (15)

Therefore, (1111011101011011)2 = (F75B)16

(c) 11010111010111

Grouping in bits of 4:

0011undefined0101undefined1101undefined0111undefined\underlinesegment{0011} \quad \underlinesegment{0101} \quad \underlinesegment{1101} \quad \underlinesegment{0111}

Binary
Number
Equivalent
Hexadecimal
01117
1101D (13)
01015
00113

Therefore, (11010111010111)2 = (35D7)16