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WAEC Data Processing 2017 Paper

Question : 2

Total: 40

Convert 4

_{10}

to a number in base two

Solution:

Concept:

To change a decimal number to base two, divide repeatedly by 2 and read the remainders from bottom to top.

Explanation:

Step 1:

4 \div 2

gives quotient

2

and remainder

0

Step 2:

2 \div 2

gives quotient

1

and remainder

0

Step 3:

1 \div 2

gives quotient

0

and remainder

1

Now write the remainders in reverse order:

1, 0, 0

So the binary equivalent is

100_2

Answer:

Option C:

100

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