# What is the difference between SOP and POS

The main difference between SOP and POS is that the SOP is a way of representing a Boolean expression using min terms or product terms while the POS is a way of representing a Boolean expression using max terms or sum term

Digital circuits use digital signals to operate. These signals have binary values; they can be one or zero. Zero represents a false or low state, while one represents a true or high state. Boolean algebra helps describe binary numbers and binary variables. To be more specific, a Boolean function is an algebraic form of a Boolean expression. It is also possible to simplify Boolean functions of digital circuits using Boolean laws and theorems.

### Key Areas Covered

**1. What is SOP**

* – Definition, Functionality*

**2. What is POS**

* – Definition, Functionality*

**3. What is the difference between SOP and POS**

* – Key Differences Comparison*

## what is SOP

SOP stands **for Sum of Products** . Writing a Boolean expression using product terms is called a sum-of-products form. Product terms are also known as minimum terms.

For example, suppose P and Q are input variables and F is the output variable. We take the complement of the variable for 0 and the variable for 1. Then we can write the minterms by writing the product terms.

P |
Q |
F |
Mining |

0 | 0 | 0 | P’Q’ |

0 | one | one | P’Q |

one | 0 | one | PQ’ |

one | one | one | P.Q. |

Finally, we can take the sum of all minterms that have 1 for F. Therefore; the final expression is the following.

F = P’Q + PQ ‘+ PQ

## What is POS

POS stands **for Product of Sums** . Writing a Boolean expression using addition terms is called a Product of Sum form. We also call the sum terms as max terms

For example, suppose P and Q are input variables and F is the output variable. Here, we take the variable for 0 and the complement of the variable for 1. We can then write the minterms by writing the sum terms.

P |
Q |
F |
maxterms |

0 | 0 | 0 | P + Q |

0 | one | one | P + Q’ |

one | 0 | one | P’ + Q |

one | one | 0 | P’ + Q’ |

Finally, we can take the product of all the max terms that have 0 for F. Therefore; the final expression is the following.

**F = (P + Q). (P’ + Q’)**

## Difference

### Definition What is the difference between SOP and POS

SOP is a method of describing a Boolean expression using a set of minterms or product terms. POS is a method of describing a Boolean expression using a set of max terms or sum terms. Therefore, these definitions contain the main differences.

### Long way What is the difference between SOP and POS

Also, SOP stands for Sum of Products while POS stands for Product of Sums.

### main concern What is the difference between SOP and POS

To be more specific, the difference between SOP and POS is that, in SOP, we write the product terms for each input combination that gives a high (1) output. Conversely, in POS, we write the summation terms for each input combination that yields a low (0) result.

### writing the terms

Also, another difference between SOP and POS is that, in SOP, when writing the minterms, we take the input variables if the value is 1, but write the complement of the variable if the value is 0. However, in POS, when writing the max terms, we take the input variables if the value is 0, but write the complement of the variable if its value is 1.

### Exit What is the difference between SOP and POS

Another difference between is that adding the relevant product terms gives the final expression in SOP, while multiplying the relevant sum terms gives the final expression in POS.

### conclusion

SOP and POS are two methods to represent Boolean expressions. The main difference between SOP and POS is that SOP is a way of representing a Boolean expression using min terms or product terms while POS is a way of representing a Boolean expression using max terms or sum terms.