Convert 9F.216 to octal

Expert Solution

9F.2₁₆

Let's first convert hexadecimal value of 9F.2 into binary
Hexadecimal     Binary
    0           0000
    1           0001
    2           0010
    3           0011
    4           0100
    5           0101
    6           0110
    7           0111
    8           1000
    9           1001
    A           1010
    B           1011
    C           1100
    D           1101
    E           1110
    F           1111
Use this table to convert from hexadecimal to binary
Converting 9F.2 to binary
9 => 1001
F => 1111
2 => 0010
So, in binary 9F.2 is 10011111.0010

Now, let's convert that binary number into octal
Adding 1 zeros on left hand side of this number to make it's length a multiple of 3
Octal   Binary
    0           000
    1           001
    2           010
    3           011
    4           100
    5           101
    6           110
    7           111
Use this table to convert from binary to Octal
Converting 010011111.001 to Octal
010 => 2
011 => 3
111 => 7
001 => 1
So, in Octal 010011111.001 is 237.1

Answer: 237.1

venereology answered 9 months ago

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