Do not use a calculator to compute the answers for Q1 and Q2

1.Convert the following decimal values into binary.

a. 125.75

Answer:

b. 212.1 (stop at 13 decimal places)

Answer:

2.Convert the following binary values into decimal (you may leave the answer as a fraction)

a. 1110010.11

Answer:

b. 1110101.1001

Answer:

3.Convert 6,992.125 into its equivalent IEEE-754 32 bit floating point format representation.

Answer (show working for full mark):

4.Given this IEEE-754 32 bit floating point value:

1 10011100 00000000000000000001111

convert it into its decimal representation (use a calculator for the division step)

(Hint: 223 = 8,388,608)

Answer (show working for full mark):