Math 1310 - Technical Math for IT 4. [12 marks] Use the mini-standard floating point representation (1 sign bit, 4 exponent bits, and 5 mantissa bits assuming the hidden bit, with the exponent recorded in bias 7) to perform the arithmetic operations below. Each of the following steps should be performed for each problem (use the template to record the results, but attach sheets with detailed work to support these results): i. Both of the given numbers should first be coded in the mini-standard. ii. the numbers in the mini-standard should converted back to decimal form and the precise loss of precision recorded. iii. The addition or subtraction should be performed in standardized form with only five bits to the right of the radix point. iv. The result should then be recorded in the normalized mini form, if possible. V. Finally, the result should be interpreted as a decimal floating point number. vi. Any further loss of precision (resulting from the standardization process or from renormalization) should be noted (yeso). a. 38 +53 Convert back to Actual loss of Decimal Mini-Standard decimal Precision or "none" 38 53 sum b. 70- 173 Convert back to Actual loss of Decimal Mini-Standard decimal Precision or "none" 70 -173 sum c. 101.4+5.525 Convert back to Actual loss of Decimal Mini-Standard decimal Precision or "none" 101.4 5.525 sum