Data representation in computer systems and its architecture and components

1.

Data representation in
computer systems and its
architecture and components

2. 11,625(10)=…………..(2)

First step:
Second step:
direction of recording
direction of recording
Answer: 11,625(10)= 1011,101(2)

3.

3
Rules of conversion from binary to decimal number system
Example 1
Example 2

4.

4 decimal to binary number
Rules of conversion from
system
conversion 345 to binary number system:
1

5.

Find 110011+1101
5
Logical addition of numbers:
0+0=0
1+0=1
0+1=1
1+1=1 0
1+1+1=1 1
1 1 1 1 1
110011
+
1101
1000000

6. 122,6(10)=…………..(8)

First step:
direction of recording
Second step:
direction of recording
Answer: 122,6(10)= 172,463…(8)

7.

500,7(10)=…………..(16)
First step:
Second step:
direction of recording
direction of recording
Answer: 500,7(10)= 1F4,B333…(16)

8.

1. Converting binary to decimal
Answer: 101,11(2)= 5,75(10)
2. Converting octal to decimal
Answer: 57,24(8)= 47,3125(10)
3. Converting hexadecimal to decimal
Answer: 7A,84(16)= 122,515625(10)

9. Addition of two numbers in octal

Answer: 6354(8) + 705(8)= 7261(8) Answer: 215,4(8) + 73,6(8)= 311,2(8)

10. Addition of two numbers in hexadecimal

Answer: 1C52(16) + 891(16)= 24E3(16)
Answer: 8D,8(16) + 3B,C(16)= C9,4(16)