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.