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Express 384 in IEEE 32-bit floating-point format.

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Step 1

Representing 384 in IEEE 32-bit floating-point format:

Step 1: Convert the given number “384” to its equivalent binary number. 384 is equivalent to “11000000”.

Step 2: Normalize the binary value as “1.1000000”.

Step 3: Consider the 23 bits after decimal point. i.e., consider the bits after decimal point from step 2 and thereafter pad with zero’s up to 23 bits. Thus, corresponding mantissa = “100000000000000000000000”.

Step 4: Write down the exponent value by doing bias adjustment.

• Count number of digits after decimal point in step 2.
• Add those digits to 127.
• Therefore, 2 digits are there after decimal point.

Bias = 8+127

=135

• 135 in binary is “10000111” (Exponent)
Step 2

Floating-point format:...

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