MacTerm



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Minterm, Sum of product, Maxterm and product of sum
  1. MacTerm Free by Kevin M. MacTerm (was MacTelnet) on Mac OS X is now a complete replacement for Terminal, allowing access to both local and remote applications.
  2. The 256-color palette is configured at start and is a 666-cube of colors, each of them defined as a 24-bit (888 rgb) color. This means that current support can only display 256 different colors in the terminal while 'true color' means that you can display 16 million different colors at the same time.

Minterm

A product term containing all the input variables of the function in either complemented or uncomplemented form is called a minterm. A 2-variables function has 22=4 possible minterms. If the inputs are A and B, then minterms are A’B’, A’B, AB’, AB. These products are called minterms or standard product or fundamental product. Each minterms are obtained by the AND operation of the inputs. The total minterms of a three input (A, B and C) functions are 23=8. This may be represented as m0, m1, m2, m3, m4, m5, m6, m7. These are also known as minterm canonical form. The minterms combinations are given bellow,

A

B

C

Minterm

Symbol

0

0

0

A’B’C’

m0

0

0

1

A’B’C

m1

0

1

0

A’BC’

m2

0

1

1

A’BC

m3

1

0

0

AB’C’

m4

1

0

1

AB’C

m5

1

1

0

ABC’

m6

1

1

1

ABC

m7

Sum of Product

MacTermMacTerm

The sum of the minterms is known as sum of product. We can also express it into canonical form as below

Maxterm

A sum term containing all the input variables of the function in either complemented or uncomplemented form is called a maxterm. A 2-variables function has 22=4 possible maxterms. If the inputs are A and B, then maxterms are A’+B’, A’+B, A+B’, A+B. Each minterms are obtained by the OR operation of the inputs. The total maxterms of a three input (A, B and C) functions are 23=8. This may be represented as M0, M1, M2, M3, M4, M5, M6, M7. These are also known as maxterm canonical form. The minterms combinations are given bellow,

A

B

C

Minterm

Symbol

0

0

0

A’+B’+C’

M0

0

0

1

A’+B’+C

M1

0

1

0

A’+B+C’

M2

0

1

1

A’+B+C

M3

1

0

0

A+B’+C’

M4

1

0

1

A+B’+C

M5

1

1

0

A+B+C’

M6

1

1

1

A+B+C

M7

N.B. From that table, we found that complement of each maxterm is equal to the corresponding minterm. For examples: A+B+C is a maxterm. Its complement is (A+B+C)’. Now (A+B+C)’=A’B’C’ (by using demorgan’s theorems).

MacTerm

Product of Sum

Mastermold

The product of the maxterms is known as product of sum. We can also express it into canonical form as below