% EX3 a)

function x = value(b, d, v, t)
    % b: basis
    % d: mantissa coefficients
    % v: coefficients of the exponent
    % t: sign
    
    if b < 2
        disp('basis needs to be at least 2!')
        return
    elseif !(t == -1 || t == 1)
        disp('t needs to be 1 or -1!')
        return
    end
    exponent = (t * unConvert(v, b))
    prefactor = b ^ exponent
    mantissa = unConvertMantissa(d, b)
    x = prefactor * mantissa
end


function val = unConvert(n, b)
    nums = flip(n)
    res = 0
    for i = 1:length(n)
        res += nums(i) * b^(i-1)
    end
    val = res
end

function val = unConvertMantissa(m, b)
    res = 0
    for i = 1:length(m)
        res += m(i) * b^(-i)
    end
    val = res
end