ITC544 - Data Representation & Digital Logic Assignment

ITC544
Computer Organisation and Architecture
Assignment 1
Data Representation & Digital Logic
Student Name:
Student ID:

Contents
Question 1........................................................................................................................................3
Question 2........................................................................................................................................6
Question 3........................................................................................................................................9
Lists of Figures
Figure 1: Logical diagram of 2 (a)...................................................................................................6
Figure 2: Logical diagram of 2 (b)..................................................................................................8
Figure 3: Logical diagram of 3........................................................................................................9

Question 1
(a) 0x2ED1 to Binary
The given numbers are converting in the binary type which can be done by using the
mapping method. For that purpose, the representation of a hexadecimal number into the
binary is providing below:
2 – 0010
E - 1110
D - 1101
1 – 0001
To get the final result of this conversion, the value will combine from the top to bottom
which is as follow 00101110110100012
(b) −29.6610 to Binary
The given numbers are splitting into two parts which are 29 and .66 then, division rule is
utilizing for the first part. So, - 29 will convert into binary format.
For first part (29)
Divisor Value of Dividend Value of Remainder
2 29 1
2 14 0
2 7 1
2 3 1
2 1 1
0
To get the result of this conversion, the value will combine from the bottom to up which is as
follow 111012 for 29
Conversion for second part so, 0.66 will convert into binary format.
Numbers Multiplied with Multiplex’s result Value of Remainder
0.66 2 1.32 1
0.32 2 0.64 0
0.64 2 1.28 1
0.28 2 0.56 0