Test Index

JAMB Mathematics 2012 Paper

Question : 1

Total: 48

Convert 112

_6

to a number in base three

Solution:

Concept:

Convert the given base six number to base ten, then change it to base three by repeated division.

Explanation:

Write

112_6

in expanded form:

112_6 = (1 \times 6^2) + (1 \times 6^1) + (2 \times 6^0)

= 36 + 6 + 2 = 44_{10}

Now convert

44_{10}

to base three using successive division by

3

44 \div 3 = 14

remainder

2

14 \div 3 = 4

remainder

2

4 \div 3 = 1

remainder

1

1 \div 3 = 0

remainder

1

Read the remainders from the last division to the first:

44_{10} = 1122_3

Answer:

1122

Go to Question:

Next Question