Answer : $-2.0$
Hex : C0000000
Binary value :
1100 0000 0000 0000 0000 0000 0000 0000
Floating point representation :
Sign Bit + Exponent + Mantissa $= 1 + 8 + 23 = 32$ bits
1 10000000 00000000000000000000000
In IEEE-754 Floating point representation
- Exponent is biased (real exp+127)
- Mantissa is normalized ( 1st bit is 1 and is not written)
- Sign bit 0 : Number is +ve; Sign bit 1 : Number is -ve
now,
Exponent with bias $= 1000\space0000 =128$
Real exponent $\rightarrow E = 128-127 = 1$
Mantissa normalized $= 0000\space0000\space0000\space0000\space0000\space000$
Real mantissa $\rightarrow M = 1.0000\space0000\space0000\space0000\space0000\space000$
Actual magnitude $= M\times 2^E =1\times 2^1 = 2$
and sign bit is $1$ so $-2$
