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What are the rules of binary addition and multiplication?
Four cases of binary addition:

0+0=0

0+ 1= 1

1+0= 1?

1+ 1 = 10/.

Example 1 Find the sum of (11kloc-0/) 2+(1kloc-0/) 2.

1 10 1

+? 10 1 1

-

1 1000

2. Four cases of binary multiplication:

0×0=0

1×0=0

0× 1=0

1× 1= 1

Example 1 Find the product of (110) 2 times (10/) 2.

1 1 10

× 10 1

-

1 1 10

0000

1 1 10

-

1000 1 10?

Binary is a digital system widely used in computing technology. Binary data are numbers represented by 0 and 1. Its cardinal number is 2, the carry rule is "every two enters one", and the borrowing rule is "borrowing one as two", which was discovered by the German master of mathematical philosophy Leibniz in18th century. The current computer system basically uses a binary system.

Data is mainly stored in the form of complement in the computer. The binary in the computer is a very tiny switch, where "On" stands for 1 and "Off" stands for 0.

One of the important signs called the third scientific and technological revolution in the 20th century is the invention and application of computers, because digital computers can only recognize and process codes consisting of' 0'. 1' symbol string. Its operating mode is binary.