Question: IEEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5

IEEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent -1.5625 × 10^-1 assuming a version of this format, which uses an excess-16 format to store the exponent. Comment on how the range and accuracy of this 16-bit floating point format compares to the single precision IEEE 754 standard.

Step by Step Solution

★★★★★

3.44 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

15625 10 1 15625 10 0 00101 2 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Computer Organization Design Questions!

Calculate 3.984375 10 -1 + (3.4375 10 -1 + 1.771 10 3 ) by hand, assuming each of the values are stored in the 16-bit half precision format described in Exercise 3.27 (and also described in the...

Calculate (3.41796875 10 -3 6.34765625 10 -3 ) 1.05625 10 2 by hand, assuming each of the values are stored in the 16-bit half precision format described in Exercise 3.27 (and also described in...

Calculate 3.41796875 10 -3 (6.34765625 10 -3 1.05625 10 2 ) by hand, assuming each of the values are stored in the 16-bit half precision format described in Exercise 3.27 (and also described in...

1 . ( 2 0 ) MIPS Assembly Language Programming: Write MIPS assembly code ( implement it as a function ) to reverse the bits in a register. Use as few instructions as possible. Assume the register of...

help please 5. (Chapter 3.3) Using a table similar to that shown in Figure 3.6, calculate the product of the octal unsigned 6-bit integer 71 and 25 using the hardware described in Figure 3.3. You...

Calculate by hand 8.625 10 1 divided by -4.875 10 0 . Show all the steps necessary to achieve your answer. Assume there is a guard, a round bit, and a sticky bit, and use them if necessary. Write...

Problem 5 (10 points) IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost bit is the sign bit; the exponent is 5 bits wide and has a bias of 15; the mantissa is 10 bits...

Could I get some help and explanation? 1. What decimal number does the bit pattern 0x0C000000 represent if it is a floating point number? Use the IEEE 754 standard 63.25 assuming the IEEE 754 single...

Q2. IEEE 754-2008 contains a half precision that is only 16 bits wide. The left most bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15 , and the mantissa/significand is 10...

Two points P1, P2, are on a disk that moves with an angular speed of ipm. The coordinates of those points are P1(1, y1) and P2(2, y2) in centimeters. Calculate: a) Gives a function that describes the...

OatMeal, Inc. produces cookies that pass through two departments: Mixing and Baking. In the Mixing Department, all direct materials are added at the beginning of the process. All other manufacturing...

It has been found that there is a linear relationship between sales volume ( V ) and total cost ( C ) . If V = 2 0 0 0 0 units, then C = $ 7 3 0 0 0 If V = 2 5 0 0 0 units, then C = $ 8 8 0 0 0 What...

1. Read one of the reports or books listed in the Endnotes. Summarize key information in this document and your opinions of it.

In the following problems, the data table contains the values for registers $t0 and $t1. You will be asked to perform several MIPS logical operations on these registers. For the values in the table...

The problems in this Exercise refer to the following function, given as array code: Convert this function into pointer-based code (in C). a. void copy(int a[], int b[], int n) { int i; for(i=0;...

Suppose that new, more powerful arithmetic instructions are added to the instruction set. On average, through the use of these more powerful arithmetic instructions, we can reduce the number of...

Your grandparents have been putting $5000 into an account each year that earns a rate of 4%. If it has been 15 years, how much is it worth now? O $86,984.77 O $100,117.94 $125,014.35 O $75,210.36 If...

Alpha Inc has just issued a 15-year bond with $1,000 par value, which pays the amount below as annual coupon (interest). The market price of the bond and your required rate of return are also...

Need help with this Allison and Leslie, who are twins, just received $50,000 each for their 23th birthday. They both have aspirations to become millionaires. Each plans to make a $5,000 annual...