Книга: Introduction to Microprocessors and Microcontrollers

Converting hex to denary

Converting hex to denary

To do this, we can use a similar method to the one we used to change binary to denary.

Example

Convert A40E5H to denary

1 Each column increases by 16 times as we move towards the righthand side so the column values are:

164 163 162 161 160
65536 4096 256 16 1

2 Simply enter the hex number using the columns

65536 4096 256 16 1
A 4 0 E 5

3 Use your calculator to find the denary value of each column

65536 4096 256 16 1
A 4 0 E 5
655360 16384 0 224 5

The left-hand column has a hex value of 1010 (A=10) so the column value is 65536?10=655360. The next column is 4?4096=16384. The next column value is zero (256?0). The fourth column has a total value of 16?14=224 (E = 14). The last column is easy. It is just 1?5=5 no calculator needed!

4 Add up all the denary values:

655 360 + 16 384 + 0 + 224 + 5 = 671 97310

Method

1 Write down the column values using a calculator. Starting on with 160 (=1) on the right-hand side and increasing by 16 times in each column towards the left.

2 Enter the hex numbers in the appropriate column, converting them into denary numbers as necessary. This means, for example, that we should write 10 to replace an ‘A’ in the original number.

3 Multiply these denary numbers by the number at the column header to provide a column total.

4 Add all the column totals to obtain the denary equivalent.

Another example

Convert 4BF0H to denary

163 162 161 160 column values
4096 256 16 1 column values
4 11 15 0 hex values
16 384 2816 240 0 denary column totals

Total = 16 384 + 2816 + 240 + 0 = 19 44010

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