The floating-point format to be used in this problem is an 8-bit ieee 754 normalized format with 1 sign bit, 4 exponent bits, and 3 mantissa bits. it is identical to the 32-bit and 64-bit formats in terms of the meaning of fields and special encodings. the exponent field employs an excess- 7coding. 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.

(a) encode the following numbers the 8-bit ieee format: (1) 0.0011011binary (2) 16.0decimal

(b) perform the computation 1.011binary + 0.0011011binary showing the correct state of the guard, round and sticky bits. there are three mantissa bits.

(c) decode the following 8-bit ieee number into their decimal value: 1 1010 101

(d) decide which number in the following pairs are greater in value (the numbers are in 8-bit ieee 754 format): (1) 0 0100 100 and 0 0100 111 (2) 0 1100 100 and 1 1100 101

(e) in the 32-bit ieee format, what is the encoding for negative zero? (f) in the 32-bit ieee format, what is the encoding for positive infinity?