Binary Numbers Multiplication

This is my third article on binary arithmetic.  In this post I am going to solve some examples on binary numbers multiplication. Here are articles on binary numbers addition and binary numbers subtraction.

Key Questions:

• How to perform multiplication on binary numbers?
• How to perform multiplication on fractional binary numbers?
• How to multiply two binary numbers?

Binary Multiplication Rules:

A*B	Answer
0*0	0
0*1	0
1*0	0
1*1	1

Binary Multiplication Examples:

Multiplication of binary numbers and the rules of multiplication are exactly the same as we did in primary classes. I hope you don't find anything difficult and complicated. It is easy and straightforward task. Let's get started.

Example#01:1111)2*10)2

A = 1111)2

B = 10)2

A		1	1	1	1
B			*	1	0
		0	0	0	0
	1	1	1	1	X
Result	1	1	1	1	0

Answer: 11110)2

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Example#02:11100)2*1100)2

A = 11100)2

B = 1100)2

A					1	1	1	0	0
B					*	1	1	0	0
						0	0	0	0
					0	0	0	0	X
			1	1	1	0	0	X	X
		1	1	1	0	0	X	X	X
Result	1	0	1	0	1	0	0	0	0

Answer: 101010000)2

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Example#03:10011.11)2*111.11)2

A					1	0	0	1	1	.	1	1
B						*	1	1	1	.	1	1
						1	0	0	1	1	1	1
					1	0	0	1	1	1	1	X
				1	0	0	1	1	1	1	X	X
			1	0	0	1	1	1	1	X	X	X
		1	0	0	1	1	1	1	X	X	X	X
Result	1	0	0	1	1	0	0	1	0	0	0	1

Answer: 10011001.0001)2