Converting Between Hexadecimal & Denary (Cambridge (CIE) O Level Computer Science)

To convert the denary number 28 to hexadecimal, start by converting the denary number to binary

Split the 8 bit binary number into two nibbles as shown below

Convert each nibble to its denary value

0001 = 1 and 1100 = 12

Using the comparison table, the denary value 1 is also 1 in hexadecimal whereas denary value 12 is represented in hexadecimal as C

Denary 28 is 1C in hexadecimal

To convert the denary number 163 to hexadecimal, start by dividing the denary value by 16 and recording the whole times the number goes in and the remainder

163 ➗16 = 10 remainder 3

In hexadecimal the whole number = digit 1 and the remainder = digit 2

Digit 1 = 10 (A)

Digit 2 = 3

Denary 163 is A3 in hexadecimal

To convert the hexadecimal number B9 to denary, take each hexadecimal digit and convert it from its denary value to 4 bit binary (nibble)

Join the two nibbles to make an 8 bit number (byte)

Convert from binary to denary

(1 x 128) + (1 x 32) + (1 x 16) + (1 x 8) + (1 x 1) = 185

Hexadecimal B9 is 185 in denary

To convert the hexadecimal number 79 to denary, start by multiplying the first hexadecimal digit by 16

7 ✖ 16 = 112

Add digit 2 to the result

112 + 9 = 121

Hexadecimal 79 is 121 in denary