Question 7 of 17intermediate🔧 ApplyNumerical4 marks
Express the following hexadecimal numbers into equivalent decimal numbers.
(i)
4A2
Answer
(4A2)_16 = (1186)_10
(ii)
9E1A
Answer
(9E1A)_16 = (40474)_10
(iii)
6BD
Answer
(6BD)_16 = (1725)_10
(iv)
6C.34
Answer
(6C.34)_16 = (108.203125)_10
Explanation
The conversion from hexadecimal to decimal uses the positional value method with base 16. Each digit is multiplied by 16 raised to the power of its position (integer positions from rightmost starting at 0, fractional positions negative). The decimal equivalents of hexadecimal digits A-F are given in Table 2.6 (A=10, B=11, C=12, D=13, E=14, F=15). The sum of these products gives the decimal number.