In a system of 4 bits for the mantissa and 3 bits for the signed exponent

1. Convert the decimal number, 0.150 to floating-point binary.

2. Convert the decimal number, 0.1667 to floating point binary.

3. Estimate the true relative error (fraction) for the addition:

0.150 + 0.1667

Given that the value of the mantissa is between 0.5 m < 1