Question 4 of 17intermediate🔧 ApplyNumerical6 marks
Do the following conversions from decimal number to other number systems.
(i)
(54)_10 = (?)_2
Answer
(110110)_2
(ii)
(120)_10 = (?)_2
Answer
(1111000)_2
(iii)
(76)_10 = (?)_8
Answer
(114)_8
(iv)
(889)_10 = (?)_8
Answer
(1571)_8
(v)
(789)_10 = (?)_16
Answer
(315)_16
(vi)
(108)_10 = (?)_16
Answer
(6C)_16
Explanation
To convert a decimal number to any other number system (binary, octal or hexadecimal), we repeatedly divide the number by the base value of the target number system and note the remainders. The final answer is obtained by writing the remainders in reverse order (from bottom to top).