MASTER OF COMPUTER APPLICATIONS

Course Code : MCS-012

Course Title : Computer Organisation and Assembly Language Programming

Assignment Number : MCA (2)/012/Assign /2014-15

Maximum Marks : 100

Weightage : 25%

**Perform the following arithmetic operations:-**

Using binary signed 2’s complement notation for integers. You may assume that the maximum size of integers is of **9 bits **including the sign bit. (Please note that the numbers given here are in decimal notation).

i) Add – 256 and 206

ii) Subtract 224 from –99

iii) Add 124 and 132

Please indicate the overflow if it occurs. Also write how you identify overflow.

** ****iii) Add 124 and 132**

First, we have to represent the number in binary notation

The sign of a binary number is represented by *0 as plus* and *1 as minus*

Sign bit 8 -bits

0 / 1 |

Now, Binary value of the given number

+124 – 01111100

+132 – 10000100

** ****+124:-**

Sign bit 8 -bits

0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |

**+132:-**

Sign bit 8 -bits

0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |

** +124:-**

Sign bit 8 -bits

0 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |

** +132:-**

0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |

** +256 :-**

Carry bit

0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |

** **

**Overflow condition occured.**

The magnitude has been overflowed into sign bit and sign into carry the given 8-bits are not sufficient for the result of the magnitude.