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Q4. [20 marks] The value of a IEEE 32-bit floating-point number, with 1 bit for the sign bit S, 8 bits for the exponent E

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Q4. [20 marks] The value of a IEEE 32-bit floating-point number, with 1 bit for the sign bit S, 8 bits for the exponent E and 23 bits for the significand M, is given by (-1)" x 1.M * 28-127. Now, consider a reduced 7-bit IEEE floating point format, with 1 bit for the sign bit, 3 bits for the exponent and 3 bits for the significand. (a) List all the values that are represented by this 7-bit format, by completing the following table. Exponent 011 100 000 001 010 101 110 111 Sign bit and significant 0 000 0 001 0 010 0011 0 100 0 101 0 110 0 111 1 000 1 001 1 010 1 011 1 100 1 101 1 110 1 111 (b) Describe the distribution and spacing of the numbers represented by this 7-bit format

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