In $\text{IEEE-754}$ single precision formate ($32$ bit) binary number is represented as:
$\text{S(1 bit) E(8 bit) M(23 bits)}$,with implicit normalization and exponent is represented with $\text{Excess-127}$ code.
So here,
- Sign bit= $1$ $\Rightarrow$ number is negative.
- Exponent bit= $01111101=125$
- Mantissa bit= $10000000000000000000000 = 1.1 \rightarrow(\text{implicit normalized form})$
$\therefore V= (-1)^S*1.M*\text{Base}^{E-127}$
$\Rightarrow V=(-1)^1*1.1*\text{2}^{125-127}$
$\Rightarrow V= -1*(1.1)_2*\text{2}^{-2}$
$\because (1.1)_2=(1.5)_{10}$
$\therefore V= -1* 1.5*2^{-2}= -0.375$
So correct decimal value is $-0.375.$