Two Questions Involving Conversion into IEEE754 Single Point Precision and MIPS Assembly

Question

1). Transform 64.2 from decimal into IEEE-754 single point precision format.

2). Write MIPS assembly code for the C instruction f=(g+h)+5 using the minimum number of instructions.

Solution Preview

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a. We need to transform into binary representation for 64.2
Separately for the left and right parts of the decimal point.
This way, 64 is 1000000 in binary.
For .2 we can use the following procedure:
.2 x 2 = 0.4    0 (msb)
.4 x 2 = 0.8    0
.8 x 2 = 1.6    1
.6 x 2 = 1.2    1
.2 x 2 = 0.4    0
.4 x 2 = 0.8    0
.8 x 2 = 1.6    1
.6 x 2 = 1.2    1...

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