Question 3 of 17intermediate🔧 ApplyNumerical6 marks

Try the following conversions.

(i)

(514)_8 = (?)_10

Answer

(514)_8 = (332)_10

(ii)

(220)_8 = (?)_2

Answer

(220)_8 = (010010000)_2 = (10010000)_2

(iii)

(76F)_16 = (?)_10

Answer

(76F)_16 = (1903)_10

(iv)

(4D9)_16 = (?)_10

Answer

(4D9)_16 = (1241)_10

(v)

(11001010)_2 = (?)_10

Answer

(11001010)_2 = (202)_10

(vi)

(1010111)_2 = (?)_10

Answer

(1010111)_2 = (87)_10

Explanation

This question tests number system conversions covered in Chapter 2. For octal/hexadecimal to decimal, multiply each digit by its positional value (basepositionbase^{position}) and add. For octal to binary, convert each octal digit to its 3-bit binary equivalent.