Question

Convert the hexadecimal number F3A7C2 to binary and octal.​

Answer 1

Answer:

That is hexadecimal number 0 is equivalent to the binary value 0000, 1 is equivalent to the value 0010). Hence, the binary value is given as (F3AC72) 16 = (111100111010011111000010) 2 .

Answer 2

SOLUTION

TO DETERMINE

Convert the hexadecimal number F3A7C2 to binary and octal.

EVALUATION

Here the given number is

$\sf{(F3A7C2)_{16}}$

CONVERT TO BINARY

We convert them to binary as below

$\sf{(F3A7C2)_{16}}$

$\sf{ = ( | F | 3 | A | 7 | C | 2 | )_{16}}$

$\sf{ = ( | 1111 | 0011 |1010 | 0111 | 1100 | 0010 | )_{2}}$

$\sf{ = ( 1111 0011 1010 0111 1100 0010 )_{2}}$

CONVERT TO OCTAL

PROCESS :

In this method we group the binary digits into three ( 3 bits form ) beginning from the right to left, writing exta zeros on the left side, if needed to make the number of bits into a multiple of 3 . Then we can directly write the equivalent decimal number for each group of binary to get the equivalent octal number.

$\sf{(F3A7C2)_{16}}$

$\sf{ = ( | 111 | 1 00 | 11 1 | 010 | 011 | 1 11 | 00 0 |010 | )_{2}}$

$\sf{ = ( | 7 | 4 | 7|2 |3 |7| 0 |2| )_{8}}$

$\sf{ = ( 7 4 72 3 7 0 2)_{8}}$

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