Page 27 - Handout Digital Electronics

Method 1: Using the remainder theorem

Steps

1. Divide the decimal number by 16 and note down the remainder
2. Divide what's left by 16 and note the remainder
3. Repeat step 2 until the number is no longer divisible by 16
4. Write down the remainder values in reverse order.

Example

Convert 51010 to hexadecimal number system

510
= 31 remainder 14 LSB
16
31
= 1 remainder 15
16
1
= 0 remainder 1 MSB
16

Thus, the hexadecimal equivalent is EF116

Method 2: Using the multiplication method to convert decimal fractions to Hexadecimal

Steps

1. Write down the decimal fraction
2. Multiply the decimal fraction by 16
3. Write down the whole number part
4. Repeat steps 2 and 3 until the degree of accuracy has been achieved.
5. Write down the whole numbers in the order you produced them.

Example1:

Convert 0.0312510 to hexadecimal number system equivalent

.03125 16 = 0.500 whole number part = 0 MSB
.50000 16 = 8. 000 whole number part = 8 LSB

Thus, the Hexadecimal equivalent of 0.0312510 is 0.816

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