Question
Asked Dec 18, 2019
23 views

Express 1/16 in IEEE 32-bit floating-point format.

check_circle

Expert Answer

Step 1

In the 32-bit IEEE format, the first bit is sign bit, the next 8 bits are assigned as the biased exponent, and the last twenty-three bits are the Fractional parts of the standardized number. If the number is a positive, the sign bit is 0, and if the number is negative, then sign bit is 1.

Convert the fractional value to decimal form-

(1/16) = 0.0625

Now, convert the decimal form to binary form-

help_outline

Image Transcriptionclose

0 625 25 direction of gaze 2.

fullscreen
Step 2

Add up together whole and fractional part here so:

(0)2 + (0.0001)2 = (0.0001)2

(0.0625)10 = (0.0001)2

It can also be represented as 1.0000 × (2)-4

For the Mantissa part-

Consider 23 bits after the decimal part in 1.0000 × (2)-4

So, here in this case all the 23 bits are zero.

Hence, the mantissa part for this is 00000000000000000000000

Step 3

Value of bias = 127+(-4)

                           = 123

Now for the exponent part, co...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Computer Science

Related Computer Science Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Write a Python if statement that evaluates as True if an int variable named age detects a teenager.

A: Program approach-Define a variable and its datatype.Use if statement to define the range of age.Prin...

question_answer

Q: analyze each program and figure out what is wrong with the memory management in the code and how to ...

A: The memory using local array in function. This array value stored in stack until function return, th...

question_answer

Q: What are pointers in c? Clarify your answer with example?

A: In C programming language, the pointer is a special type of variable whose work is to hold the addre...

question_answer

Q: Code isn't running, how do i get it to print to a txt file          public class WeightedAvgDataAnal...

A: A Java program for the given criteria is as follows,//Import necessary packagesimport java.io.File;i...

question_answer

Q: explain step by step please.

A: The call to ex233(6) will start by checking if n=<0 as it is false the print statement will print...

question_answer

Q: How many /30 subnets can be created from one /27 subnet

A: Number of /30 subnets created from one /27 subnetThe number of /30 subnets created from one /27 subn...

question_answer

Q: When calling a swap function to swap the value of the two arrays, how do I add the reference to the ...

A: Program:#include <iostream>#include <string.h>#include <stdlib.h> using namespace ...

question_answer

Q: Write the following code in C++ Write a program using loop that asks user to input 10 numbers, then ...

A: Following is the c++ program that takes as input from user 10 numbers and calculates the average:App...

question_answer

Q: Perform this binary division and find the remainder: 10111101 / 1001   If possible can you help unde...

A: Binary NumberThe number system which has a base- 2 is called binary number system. It has only 2 sym...