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ECE2071 - Systems programming - S1 2025
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In order to perform floating point computer arithmetic, you can store floating point numbers as 32-bit “single precision” using IEEE754. Please complete the following problem
A) Convert the two following numbers (X and Y) to IEEE754 representation
X = 23.125
Y = -61.5
B)Explain with
reference to each component of the IEEE754 representation (the mantissa, the exponent,
and the sign) how a computer multiplies these
two numbers together. Your answer should explain step by step the reason for
the approach, and what numerical operations are required.
C) Which (if any steps) correspond to integer instructions that we have studied in this unit?