It is a system of number written is base two. The digits in base two are 0 and 1.
Conversion from Decimal to Binary (Base 10 to Base 2)
Solved Examples
Convert 2610 to base 2
Solution
2 26
2 13 R 0 least significant bit (LSB)
2 6 R 1
2 3 R 0
2 1 R 1
0 R 1 most significant bit (MSSB)
∴ 2610 = 110102
Example 14.2
Covert 64010 to base two
Solution
2 640
2 320 R 0
2 160 R 0
2 80 R 0
2 40 R 0
2 20 R 0
2 10 R 0
2 5 R 0
2 2 R 1
2 1 R 0
0 R 1
∴ 64010 = 10100000002
The conversion is done by successive division by 2 and keeping the remainders, which are then collected together following the arrow.
Addition in base two
Example 14.3
Add 111102 to 11002
Solution
11110
1100
Final sum = 1010102