Test Index

BECE Mathematics 2012 Paper

Question : 7

Total: 40

Convert 42 to a base two numeral.

Solution:

Concept:

Repeatedly divide the decimal number by

2

and read the remainders from bottom to top.

Explanation:

42 \div 2 = 21

, remainder

0

21 \div 2 = 10

, remainder

1

10 \div 2 = 5

, remainder

0

5 \div 2 = 2

, remainder

1

2 \div 2 = 1

, remainder

0

1 \div 2 = 0

, remainder

1

Write the remainders from bottom to top.

The remainders are

1,0,1,0,1,0

Therefore,

42 = 101010_{\text{two}}

Answer:

101010_{\text{two}}

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