Question: For the format used in Exercise 5.19, what decimal number is represented by each of the following numbers in floating point format? a. C2F00000 16

For the format used in Exercise 5.19, what decimal number is represented by each of the following numbers in floating point format?
a. C2F0000016
b. 3C54000016

Data from Exercise 5.19

Convert the following binary and hexadecimal numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.
a. 110110.0110112
b. −1.11110012
c. −4F7F16
d. 0.000000001111112
e. 0.1100 × 236
f. 0.1100 × 2−36

Step by Step Solution

3.46 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a C2F00000 16 1100001011110 The exponent is 10000101 and the mantissa is 1110 Shifting the n... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

1806_60b8c12141b92_735032.pdf

180 KBs PDF File

Word file Icon

1806_60b8c12141b92_735032.docx

120 KBs Word File

Students Have Also Explored These Related Computer Architecture Questions!