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For example, let us add the binary numbers (101111) and (10111) .
2 2
_____
1 1 1 1 1 Carry bits
1 0 1 1 1 1
+ 1 0 1 1 1
1 0 0 0 1 1 0
Look at the given examples to better understand better.
Example 1: Add the binary numbers (10110) Example 2: Add the binary numbers (11111)
2 2
and (01101) . and (11111) .
2 2
_____ _____
1 1 Carry bits 1 1 1 1 Carry bits
1 0 1 1 0 1 1 1 1 1
+ 0 1 1 0 1 + 1 1 1 1 1
1 0 0 0 1 1 1 1 1 1 1 0
Example 3: Add the binary numbers (11011) and (10110)
2 2
_____
1 1 1 Carry bits
1 1 0 1 1
+ 1 0 1 1 0
1 1 0 0 0 1
Restart
A number system is simply a manner 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 is used as a shorthand representation of long binary numbers.
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 c. LSD
b. BSD d. None of these
2. Base 2 is another name for the .........................
a. Binary number system c. Hexadecimal number system
b. Decimal number system d. Octal number system
Number System 13

