# How do you use the Quine-McCluskey method?

## How do you use the Quine-McCluskey method?

The Quine–McCluskey algorithm (QMC), also known as the method of prime implicants, is a method used for minimization of Boolean functions that was developed by Willard V. Quine in 1952 and extended by Edward J….Step 1: finding prime implicants.

Number of 1s | Minterm | Binary Representation |
---|---|---|

3 | (m14) | 1110 |

4 | m15 | 1111 |

## What is Quine-McCluskey method of logic simplification?

Quine McCluskey minimization method is a method to minimize the Boolean expression in the simplified form. Before, implementing a logic circuit, it is important to note that, the output expression must be in simplified form. Quine McCluskey method is used to simplify boolean expression with more than 6 input variables.

**How Quine-McCluskey method overcome K map?**

Karnaugh map (K-map) and Quine-McCluskey (QM) methods are well known methods to simplify Boolean expression. K-map method becomes complex beyond five variable Boolean expression. Quine-McCluskey method is computer based technique for minimization of Boolean function and it is faster than K-map method.

### What are the advantages and disadvantages of Quine-McCluskey method?

The Q-M technique is capable of minimizing logic relationships for any number of inputs. The main advantage of this method is that it can be implemented in the software in an algorithmic fashion. But the disadvantage of this method is that the computational complexity still remains high.

### What is the difference between prime implicant and essential prime implicant?

Essential Prime Implicants – These are those subcubes(groups) which cover atleast one minterm that can’t be covered by any other prime implicant. Essential prime implicants(EPI) are those prime implicants which always appear in final solution.

**What do you understand by QM method enlist its disadvantage over K map?**

Quine–McCluskey method is a tabular method that has an advantage over Karnaugh maps when a large number of inputs are present. With more inputs, pattern recognition in Karnaugh maps can be tedious or sometimes even impossible. The Quine–McCluskey method does not require pattern recognition.

#### What do you understand by QM method enlist its disadvantage over K-map?

#### What is dont care condition?

The “Don’t Care” conditions allow us to replace the empty cell of a K-Map to form a grouping of the variables which is larger than that of forming groups without don’t care. While forming groups of cells, we can consider a “Don’t Care” cell as 1 or 0 or we can also ignore that cell.

**What is called Prime implicant?**

A prime implicant of a function is an implicant (in the above particular sense) that cannot be covered by a more general, (more reduced, meaning with fewer literals) implicant.

## What is redundant Prime implicant?

Redundant Prime Implicant (RPI) If each minterm subsuming a prime implicant (PI) is also covered by other essential prime implicants, then that PI is called a redundant prime implicant (RPI). Also called redundant prime cube (RPC).