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omputer Architecture Show all the work! Using the division flowchart, show all o

ID: 3722355 • Letter: O

Question

omputer Architecture Show all the work!

Using the division flowchart, show all of the steps dividing 17 / 3 10 in binary.  Show a complete table like on page 192.

Write the floating-point representation of 23 7/810 and of 15 1/810. Show all of your steps for all the lab.

Table on page 192:

Iteration Step Quotient Diviso Remainder 0010 00000000 0111 0010 0000 110 0111 0010 0000 0000 0111 0001 0000 0000 0111 0001 0000111 0111 0001 0000 0 0111 0000 1000 0000 0111 Initial values 1: Rem = Rem-Div 0 1 3: Shift Div right 1: Rem = Rem-Div 2b: Rem

Explanation / Answer

From the given flow chart,

    Can we find out the steps are dividing 17/30 in binary.

teps to Divide 17 by 3 in binary

Step 1. Convert the number 17 and 3 to base as follows:

Division by 2

Quotient

Remainder

Bit #

17/2

8

1

0

8/2

4

0

1

4/2

2

0

2

2/2

1

0

3

Division by 2

Quotient

Remainder

Bit #

3/2

1

1

0

1/2

1

1

1

Can we find out floating print representation of 237/810 and 15 1/810

Floating Point in Computer Architecture

Step 1: Floating Point representation of 23+7/8

As Shown above the conversion of 23 7/8 to base 10 will result in 10111.111