Binary Number System

Subject: Mathematics
Topic: The Binary Number System
Example: Change the following numbers in base two to two to base 10
I ) 1111two ii) 1101two
Solution
I ) 1111two = 1 × + 1 × + 1 × + 1 ×
= 1 × 8 + 1 × 4 + 1 × 2 + 1× 1
= 8 + 4 + 2 + 1
:. 1111two = 15 ten
ii) 1101two = 1 × + 1 × + 0 × + 1 ×
= 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1
= 8 + 4 + 0 + 1
:. 1101two = 13ten
Home-Work: Write the following numbers in base 2 in numbers in base 10:
1 ) 1001 2) 011101 3) 1110