Suppose we have just found yet another representation for floating point numbers

Question

Suppose we have just found yet another representation for floating point numbers. Using this representation, a 12-bit floating point number has 1 bit for the sign of the number, 4 bits for the exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so that the first digit to the right of the radiz points must be a 1. Numbers in the exponent are in signed 2's complement representation. No bias is used and there are no implied bits. Show the representation for the smallest positive number this machine can represent using the following format. What decimal number does this equate to?
Sign=
Exponent=
Mantissa=

Explanation / Answer

please rate - thanks

not haveing the simple model

s=sign, e=exponent, m=mantissa

word= seeeemmmmmmm

s=0 positive number

eeee= 1000 largest negative number representable = -8

mmmmmmm=0000000         =.000000010000000       =   1/256=.00390625

answer

010000000000    = .00390625 x 2^-8

shouldn't

Simple Model so that the first digit to the right of the radiz points must be a 1.

this read

Simple Model so that the first digit to the left of the radiz points must be a 1.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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