Question

Please convert -3.825 to a Hexadecimal using IEEE-754 single precision format.

Please show all the steps in text format or don't answer it.

Answer 1

-3.825 in simple binary => 11.11010011001100110011001100110011001100110011001101
so, -3.825 in normal binary is 11.11010011001100110011001100110011001100110011001101 => 1.111010011001100110011 * 2^1

single precision:
--------------------
sign bit is 1(-ve)
exp bits are (127+1=128) => 10000000
frac bits are 11101001100110011001100

so, -3.825 in single-precision format is 1 10000000 11101001100110011001100
in hexadecimal it is 0xC074CCCC