Arithmetic in Binary. Addition A “Rule of Addition” is a statement of the form: 3 + 5 = 8 How many such rules are there in Decimal?

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Presentation transcript:

Arithmetic in Binary

Addition A “Rule of Addition” is a statement of the form: = 8 How many such rules are there in Decimal?

Addition 10 digits can appear as the first addend, and 10 can appear as the second, so Decimal has 10 * 10, or 100 “Rules of Addition”

Binary Addition In Binary there are 4 “Rules of Addition”: = = = = 10

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal

Binary Addition To add any 2 binary numbers, simply apply the rules on each column, starting at the right – just like Decimal