Converting truth table to Boolean equation, Lecture notes of Discrete Mathematics

Converting Boolean. Equation to truth table ... Converting Boolean. Equation to truth table. X = ab. Y = cd z = X + Y = ab + cd ...

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2022/2023

Uploaded on 03/01/2023

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a^ b^ c^

d^ z

Converting

truth

table

to^ Boolean

equation

a^ b^ c^

d^ z

Converting

truth

table

to^ Boolean

equation

a^ b^ c^

d^ z

Converting

truth

table

to^ Boolean

equation

z = a’b’cd+ a’bcd

b’ d^

+ ab’cd+ abc’d’+ abc’d

+^ abc d+ abcd’+ abcd

= ab + cd

a^ b^ c^

d^ z

Converting

truth

table

to^ Boolean

equation

z = ab + cd

a^ b^ c^ d^ X^ Y^ z

Converting

Boolean

Equation

to^ truth

table

X = abY = cdz = X + Y = ab + cd

a^ b^ c^ d^ X^ Y^ z 0 0 0

Converting

Boolean

Equation

to^ truth

table

X = abY = cd

z = X + Y = ab + cd

a^ b^ c^ d^ X^ Y^ z 0 0^0

0^0^0

Converting

Boolean

0 0^0

1^0^0

0 0^1

0^0^0

0 0^1

1^0^1

0 1^0

0^0^0

Equation

to^ truth

table

0 1^0

0^0^0

0 1^0

1^0^0

0 1^1

0^0^0

0 1^1

1^0^1

1 0^0

0^0^0

1 0^0

1^0^0

1 0^1

0^0^0

1 0^1

1^0^1

X = abY = cd

1 0^1

1^0^1

1 1^0

0^1^0

1 1^0

1^1^0

1 1^1

0^1^0

z = X + Y = ab + cd

1 1^1

1^1^1

a^ b^ c^ d^ X^ Y^ z 0 0 0

0^0

Converting

Boolean

1^0

0^0

1^0

0^0

Equation

to^ truth

table

0^0

1^0

0^0

1^0

0^0

1^0

0^0

1^0

X = abY = cd

1^0

0^1

1^1

0^1

z = X + Y = ab + cd

1^1