5.15 In the Pink-Lemon-8 computer, real numbers are stored in the format SEEMMMM

Question

5.15 In the Pink-Lemon-8 computer, real numbers are stored in the format SEEMMMMg where all the digits, including the exponent, are in octal. The exponent is stored excess-408. The mantissa is stored as sign and magnitude, where the sign is 0 for a positive number and 4 for a negative number. The implied octal point is at the end of the mantissa: MMMM. Consider the real number stored in this format as 4366621 a. What real number is being represented? Leave your answer in octal. b. Convert your answer in part (a) to decimal. You may leave your answer in- fractional form if you wish. c. What does changing the original exponent from 36 to 37 do to the magnitude of the number? (Stating that it moves the octal point one place to the right or left is not a.sufficient answer.) What would be the new magnitude in decimal?

Explanation / Answer

Format presented: SEEMMMM

As per Question:

SEEMMMM=4366621

S=4 in Octal If we take 2's complement of the value its a negative number.

EE=36 is the exponential in octal = 8 * 3+ 6 =30

MMMM=6621

Formatting to demimal:

(6000)8 = (3072)10

(600)8=(384)10

(20)8 = (16)10

(1)8=(1)10

Decimal value with sign is = -(3072+384+16+1)e30 = -3473e30

a)(6621)8

b) -3473e30

c) If EE = 37 then 8 * 3+ 7 =31

ans: -3473e31

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

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