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# 8085 program to find square root of a number

Now let us see a program of Intel 8085 Microprocessor. This program will find the square root of a number.

### Problem Statement

Write an assembly language program to find the square root of a number in L and store the result at location 8100H

### Discussion

Here we are using division method for finding square root of a number. As we know there is no division operation in 8085, so we are creating division subroutine.

Let N is the number.

X = √N

X^{2} = N

X^{2} + X^{2} = N + X^{2}

2X^{2} = N + X^{2}

X^{2} = (N + X^{2})/2

X =((N + X^{2})/X)/2

X_{New}=(N / X + X)/2

If X = X_{New} then X = √N

### Input

We have tested with three inputs: These inputs are −

- 64H (100D)
- 51H (81D)
- 90H (144D)

### Flow Diagram

### Program

Address | HEX Codes | Labels | Mnemonics | Comments |
---|---|---|---|---|

8000 | 80, 00, 83 | START | LXI SP, 8300H | SP = 8300H |

8003 | 3E, 01 | MVI A, 01H | A (first approximation) = 01 H | |

8005 | 57 | UP | MOV D, A | D = A Tracking Xold |

8006 | 2E, NUM | MVI L, NUM | L = number N whose square root is to be calculated | |

8008 | CD, 1E, 80 | CALL DIV | Call div subroutine to calculate N/X HereN in L and X in A. It performs L = L/A and it returns result in L | |

800B | 7D | MOV A, L | A = L (return argument) | |

800C | 82 | ADD D | A = A+D (N/X) + X | |

800D | 26, 00 | MVI H, 00H | H = 00 H | |

800F | 6F | MOV L, A | L = A | |

8010 | 3E, 02 | MVI A, 02H | A = 02 H | |

8012 | CD, 1E, 80 | CALL DIV | Call div subroutine Here sum in L and 2in A Xnew= ((N/X_{old})+ X_{old})/2 | |

8015 | 7D | MOV A, L | A = L | |

8016 | BA | CMP D | Compare D and A Comparing X_{old} and X_{new} | |

8017 | C2, 05, 80 | JNZ UP | Is A = D, if no go to up If they are equal then the obtained value of X is the answer | |

801A | 32, 00, 81 | STA 8100H | Store the result at the desired memory location 8100H | |

801D | 76 | HLT | Stop | |

801E | 4F | DIV | MOV C, A | C = A |

801F | 7D | MOV A, L | A = l | |

8020 | 2E, 00 | MVI L, 00H | L = 00 | |

8022 | B9 | UP1 | CMP C | Compare a and c registers |

8023 | D8 | RC | Is A < C? If yes return to main | |

8024 | 91 | SUB C | A = A – C | |

8025 | 2C | INR L | L = L + 1 | |

8026 | C3, 22, 80 | JMP UP1 | Go back to UP1 | |

8000 | 80, 00, 83 | START | LXI SP, 8300H | SP = 8300H |

### Output

**first output**

Address | Data |
---|---|

. . . | . . . |

8100 | 0A |

. . . | . . . |

**second output**

Address | Data |
---|---|

. . . | . . . |

8100 | 09 |

. . . | . . . |

**third output**

Address | Data |
---|---|

. . . | . . . |

8100 | 0C |

. . | . . . |

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