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Neil G
Neil G
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There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention.

Given a field with two elements, we have two operations: addition and multiplication. We can map Boolean operations on this field in two ways:

Traditionally, we identify True with 1 and False with 0. We identify AND with * and XOR with +. Thus OR is saturating addition.

However, we could just as easily identify True with 0 and False with 1. Then we identify OR with * and XORXNOR with +. Thus AND is saturating addition.

There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention.

Given a field with two elements, we have two operations: addition and multiplication. We can map Boolean operations on this field in two ways:

Traditionally, we identify True with 1 and False with 0. We identify AND with * and XOR with +. Thus OR is saturating addition.

However, we could just as easily identify True with 0 and False with 1. Then we identify OR with * and XOR with +. Thus AND is saturating addition.

There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention.

Given a field with two elements, we have two operations: addition and multiplication. We can map Boolean operations on this field in two ways:

Traditionally, we identify True with 1 and False with 0. We identify AND with * and XOR with +. Thus OR is saturating addition.

However, we could just as easily identify True with 0 and False with 1. Then we identify OR with * and XNOR with +. Thus AND is saturating addition.

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Neil G
Neil G
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  • 2
  • 16

There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention. However

Given a field with two elements, I suggest you askwe have two operations: addition and multiplication. We can map Boolean operations on this field in mathtwo ways:

Traditionally, we identify True with 1 and False with 0.stackexchange We identify AND with * and XOR with +. Thus OR is saturating addition.

However, we could just as easily identify True with 0 and False with 1. Then we identify OR with * and XOR with +. Thus AND is saturating addition.

There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention. However, I suggest you ask in math.stackexchange.

There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention.

Given a field with two elements, we have two operations: addition and multiplication. We can map Boolean operations on this field in two ways:

Traditionally, we identify True with 1 and False with 0. We identify AND with * and XOR with +. Thus OR is saturating addition.

However, we could just as easily identify True with 0 and False with 1. Then we identify OR with * and XOR with +. Thus AND is saturating addition.

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Neil G
Neil G
  • 448
  • 2
  • 16

There are a lot of answers that suggest that correspondance between 1 and true is necessitated by some mathematical property. I can't find any such property and suggest it is purely historical convention. However, I suggest you ask in math.stackexchange.