Represent (-55.25)10 and (0.03125)10 in IEEE 754 single precision format.

To represent the decimal numbers (-55.25)₁₀ and (0.03125)₁₀ in IEEE 754 single-precision format, we need to break down the process into several steps, including converting the numbers into binary form, adjusting the exponent, and encoding them according to the IEEE 754 standard.

1. Representation of (-55.25)₁₀ in IEEE 754 single precision:

Step 1: Convert the absolute value of -55.25 to binary

Start by converting the integer part (55) and the fractional part (0.25) to binary.

• Integer part (55): Divide 55 by 2, recording the quotient and remainder:

   55 ÷ 2 = 27, remainder = 1 27 ÷ 2 = 13, remainder = 1 13 ÷ 2 = 6, remainder  __________ ___ _______ __________ ___ ___ ________.
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