la. Decimal to Binary Conversion 1) Using the value of pi as 3.1416,0, convert pi to binary. Write up to 6 digits after the radix point. 2) Convert the binary number you obtained in #1 back to decimal a) What decimal value are you able to obtain? b) How many decimal places of the actual value of pi were preserved? c) In one sentence, explain why some precision was lost

Description Find the sum of 10.2510 and 5.2510 using the 14-bit "simple" floating-point model. Hint: Refer to slides or class notes for a similar example.

Assume we are using the simple model for floating-point representation discussed in the class (the representation uses a 14-bit format, 5 bits for the exponent with an Excess-M, a significand of 8 bits, and a single sign bit for the number): Convert 12.345 to the floating-point binary representation. (Remember we learned "implied one" format in the lecture) You need to type in the calculation steps or insert the picture of your handwriting using "insert" menu above.

Suppose A = +54 and B = -3 (both in base 10).Q1: What is the lowest number of rounds theoretically to complete the integer division using the optimized division algorithm?Q2: What is the resulting number in binary representation if we use 8 bits to represent it?Q3: What is the resulting number in FP decimal representation if we use the IEEE 754 standard for single precision? (form of this result should be in sign, true exponent in binary, IEEE-754 Exponent in binary and IEEE-754 exponent in decimal (base 10 number) )