2. [6 marks] Half-Precision Floating-Point Suppose there was a floating-point co

Question

2. [6 marks] Half-Precision Floating-Point Suppose there was a floating-point code that fit in 16 bits, with 1 bit for the sign, 6 bits for the exponent and 9 bits for the significand. 1 6 9 sign exponent significand

Answer the following questions. Be sure to justify your answers

. (a) [1 mark] What is the range of normalized exponents?

(b) [1 mark] Excluding +, and NaN, how many different values can be encoded?

(c) [1 mark] What is the median value of the code?

(d) [1 mark] What is the range of positive denormalized values?

(e) [1 mark] What is the range of positive normalized values? (f) [1 mark] What is the median of the positive normalized values?

(g) [1 BONUS mark] What is the median of the positive values?

Explanation / Answer

A) since number is 6 bit

so range is 0-63

B) since number is 15 bit

so range is 131064

C) median will be 32767

D) range is 65535

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.