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The floating-point format to be used in this problem is a normalized format with

ID: 3672023 • Letter: T

Question

The floating-point format to be used in this problem is a normalized format with 1 sign bit, 3 exponent bits, and 4 mantissa bits. The exponent field employs an excess-4 coding. The bit fields in a number are (sign, exponent, mantissa). Assume that we use unbiased rounding to the nearest even specified in the IEEE floating point standard. Encode the following numbers in the above format: 1.0_binary 0.001101 1_binary In one sentence for each, state the purpose of guard and rounding bits for floating point arithmetic.

Explanation / Answer

a)i)

Step 1 -- Convert the binary number to decimal. Step 2 -- Convert decimal number to excess-4

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