Worksheet on Systems of Numeration

In worksheet on systems of numeration, all grade students can practice the questions to convert the 10-based numbers into 2-based numbers and from the 2-based numbers into 10-based numbers. This exercise sheet on systems of numeration can be practiced by the students to get more ideas to learn to convert 10-based numbers into 2-based numbers and vice versa according to the questions.

1. On the basis of the above mentioned facts try to convert the given 10-based numbers into 2-based numbers (i to v) and from (vi) to (xii) , the 2-based numbers into 10-based numbers:

(i) 103

(ii) 115

(iii) 100

(iv) 121

(v) 108

(vi) 1101

(vii) 11111

(viii) 111111

(ix) 1001

(x) 1101101

(xi) 101111

(xii) 101101

2. Convert 10-based numbers into 2-based numbers:

(i) 7

(ii) 9

(iii) 15

(iv) 35

(v) 65

(vi) 75

(vii) 114

(viii) 125

(ix) 117

(x) 134

(xi) 147

(xii) 151

3. Convert the following into 10-based numbers:

(i) (11111)₂

(ii) (111111)₂

(iii) (100001)₂

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