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Binary Multiplication
Binary numbers are multiplied in the same manner as decimal numbers. When two binary
numbers are multiplied, for each digit of the second number, the product of that digit of the first
binary number is calculated. Then it is shifted leftwards so that its rightmost digit lines up with
the digit in second number that was used. The sum of all these partial products gives the result.
The following rules are followed to multiply two binary numbers.
1 0 1 0
X Y X × Y
1 0 1
0 0 0 × 0 = 0
1 0 1 0
0 1 0 × 1 = 0
0 0 0 0 ×
1 0 1 × 0 = 0 1 0 1 0 × ×
1 1 1 × 1 = 1 1 1 0 0 1 0
For example, let us multiply (1010) by (101) .
2
2
Tech Funda
The binary number system was invented by Gottfried Lebiniz in 1679.
Restart
A number system is method of counting.
The decimal number system consists of ten digits from 0 to 9.
The binary number system consists of two digits 0s and 1s.
The octal number system consists of eight digits from 0 to 7.
The hexadecimal number system consists of 16 digits from 0 to 9 and A to F.
Checkpoint
A. Tick ( ) the correct option.
1. In the binary number system, right-most digit before the fractional point is called .........................
a. MSD b. LSD
c. BSD d. RSD
14 Plus (Ver. 3.2)-VII

