Determine the decimal value that gives 41BA8000 in hex when represented in IEEE 754-1985 single precision....
Determine the decimal value that gives 41BA8000 in hex when represented in IEEE 754-1985 single precision.
Please show each step, I'd like to see how the process is done so I can learn.
Homework Answers
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
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