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Convert $(532.125)_8$ into decimal, binary and hexadecimal
1 Answer
written 6.1 years ago by |
Octal to Decimal:-
$(532.125)_8 = (5 * 8^2) + (3*8^1) + (2 * 8^0) + (1 * 8^{-1} ) + (2 * 8^{-2}) + (5 * 8^{-3}) = 346 + 0.166015625 = (346.01660.15625)_{10}$
Octal to Binary:-
Convert each octal digit into its binary equivalent.
$(532.125)_8$ = 101 011 010 . 001 010 101 = $(101011010.001010101)_2$
Octal to Hexadecimal:-
By using binary equivalent of the octal number, we divide the binary equivalent into a group of 4 digit to obtain its hexadecimal equivalent.
$(532.125)_8 = (101011010.001010101)_2$ = 0001 0101 1010 . 0010 1010 1000 = $(15A.2A8)_{16}$