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# Data representation in computer systems and its architecture and components

## 1.

Data representation incomputer 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.

3Rules of conversion from binary to decimal number system

Example 1

Example 2

## 4.

4 decimal to binary numberRules of conversion from

system

conversion 345 to binary number system:

1

## 5.

Find 110011+11015

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 decimalAnswer: 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)