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 () and add. For octal to binary, convert each octal digit to its 3-bit binary equivalent.