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In: Computer Science

convert 0x41BA8000 to IEEE-754 floating-point value

convert 0x41BA8000 to IEEE-754 floating-point value

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Expert Solution

0x41BA8000

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 41BA8000 to binary
4 => 0100
1 => 0001
B => 1011
A => 1010
8 => 1000
0 => 0000
0 => 0000
0 => 0000
So, in binary 41BA8000 is 01000001101110101000000000000000

0 10000011 01110101000000000000000

sign bit is 0(+ve)
exp bits are 10000011 => in decimal it is 131
so, exponent/bias is 131-127 = 4
frac bits are 01110101

Decimal value is 1.01110101 * 2^4
1.01110101 in decimal is 1.45703125
1.01110101 * 2^4 in decimal is 23.3125

so, 41BA8000 in IEEE-754 single precision format is 23.3125
Answer: 23.3125

venereology answered 9 months ago
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