Question

Convert 1010010110011 to HEXADECIMAL and OCTAL​

Answer 1

Explanation:

Given:1010010110011

To find: Hexadecimal and octal conversion of given binary number

Solution:

1) Hexadecimal conversion:

Step 1: Make pairs of 4-4 bits from right to left

1 0100 1011 0011

Step 2: First pair have only 1 digit,fill three spaces with zeros

0001 0100 1011 0011

Step 3: Write equivalent hexadecimal digits for each pair

0001 -> 1

0100 -> 4

1011 -> B

0011 -> 3

Thus,

Equivalent hexadecimal digits for 1010010110011 is 14B3

2) Octal conversion:

Step 1: Make pairs of 3-3 bits from right to left

1 010 010 110 011

Step 2: First pair have only 1 digit,fill three spaces with zeros

001 010 010 110 011

Step 3: Write equivalent hexadecimal digits for each pair

001 -> 1

010 -> 2

010 -> 2

110-> 6

011 ->3

Thus,

Equivalent octal digits for 1010010110011 is 12263.

Final answer:

$\bold{(1010010110011)_2=(14B3)_H}\\\\\bold{(1010010110011)_2=(12263)_8}$

Hope it helps you.

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