Question

in certain code 5 is written as 101 and 9 is written 1001. how do you express 8?

Answer 1

8 is written as 1000.

Given:

• In certain code 5 is written as 101, and
• 9 is written 1001.

To find:

• How do you express 8?

Solution:

Concept to be used:

• Understand the conversion.
• Write the code for 8.

Step 1:

Understand the logic of conversion.

$5= 1 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0}$

or

$5= 4 + 0 + 1$

or

$5 = 5$

By the same way

$9= 1 \times {2}^{3} + 0 \times {2}^{2} + 0 \times {2}^{1} + 1 \times {2}^{0}$

or

$9= 8 + 0 + 0 + 1$

or

$9= 9$

Thus,

Each code is generated by multiplication of digits with increasing powers of 2 from right to left.

Step 2:

Write code for 8.

$8 = 1 \times {2}^{3} + 0 \times {2}^{2} + 0 \times {2}^{1} + 0 \times {2}^{0}$

or

$\bf 8 = 1000$

Thus,

8 is written as 1000.

#SPJ3

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