How can I convert (AF36) hexadecimal to 2421 BCD?

Question

How to represent numbers 10 to 15 in 2421 bcd? The original question is this:

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score 0 · Accepted Answer · edited Jul 22 '18 at 16:05

To Convert a hexadecimal to BCD first you have to convert the hexadecimal to decimal then we can convert decimal to BCD.

Now first take a look at how to convert decimal to BCD:

There is fix set of rule for this it is like

Until here it is same as binary but it changes from here:

So how BCD(2421) is converted lets see:

If we take an example of:

So the numbers here are multiplied by (2421) that's why it is called 2421 BCD.

Now then how to write 10?

So now to convert hexadecimal to binary:

$$\begin{align} \text{(AF36) hexa} &= 10\times16^3+15\times16^2+3\times16^1+6\times16^0 \\ &= 40960+3840+48+6 \\ &=44854 \end{align}$$

Now convert this decimal no. 44854 into 2421 BCD

Combine them: 01000100111010110100 (option c)

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