Number System Conversion | MCQs

Explanation

To convert the octal number (143)₈ to decimal:

Multiply each digit by the corresponding power of 8:

(1 × 8²) + (4 × 8¹) + (3 × 8⁰)

= (1 × 64) + (4 × 8) + (3 × 1)

= 64 + 32 + 3

= 99

Explanation

To convert the decimal number 139 to binary:

139 ÷ 2 = 69 remainder 1

69 ÷ 2 = 34 remainder 1

34 ÷ 2 = 17 remainder 0

17 ÷ 2 = 8 remainder 1

8 ÷ 2 = 4 remainder 0

4 ÷ 2 = 2 remainder 0

2 ÷ 2 = 1 remainder 0

1 ÷ 2 = 0 remainder 1

Reading the remainders from bottom to top:

10001011

Explanation

Divide 4 ÷ 18 = 0.222..., which is a recurring decimal.

It can also be written as 0.overline{2} indicating the digit 2 repeats.