def single_prec(v):



    return (-1)**int(v[0])*sum([int(v[i])*2**(8-i) for i in range(1,23)])




def double_prec(v):


    return (-1)**int(v[0])*sum([int(v[i])*2**(11-i) for i in range(1,23)])

def IEEE(v):
    
    return (-1)^2 * 2^(e-1023) * 1.f