Topic Content:
- Converting from One Base to Another Other Than Base Ten
Worked Example 1.4.1:
Solve the following:
i. Convert 405six to base two
ii. Convert 10110two to base seven
iii. Convert 321four to base two
Solution
To do this, first, convert the given base to base ten, then convert to the required base.
i. Convert 405six to base two
First, convert to base 10
405six = 4 × 62 + 0 × 61+ 5 × 60
144 + 0 + 5 = 149ten
Then convert 149ten to base 2
= 10010101two
ii. Convert 10110two to base seven
First, convert to base 10
10110two = 1 × 24 + 0 × 23 + 1 × 22 + 1 × 21 + 0 × 20
16 + 0 + 4 + 2 + 0 = 22ten
Then convert 22ten base to 7
= 31seven
iii. Convert 321four to base two
321four = 3 × 42 + 2 × 41 + 1 × 40
48 + 8 + 1 = 57ten
Then convert 57ten to base 2
= 111001two
there is a mistake in no 3.
I do not think so.
There is no mistake.
It should be coming from you check yourself well.