Question

From decimal to hexadecimal:
i. 330 ii. 840.
plsss full formula

Answer 1

Things to note:

• Base 16 number system is called hexadecimal.

→ Digits from 10 get assigned capital letters in alphabetical order.

• Continued Division

→ This is explained in the process.

The conversion of 330 is as follows.

Divide 330 by 16.

$330=16\times 20+10$

Then divide again,

$330=16\times (16\times 1+4)+10$

Expand to get

$330=16^2+4\times 16+10$

Change this to base 16 and we get

$330_{10}=14A_{16}$

The conversion of 840 is as follows.

Divide 840 by 16.

$840=16\times 52+8$

Then divide again,

$840=16\times (16\times 3+4)+8$

Expand to get

$840=3\times 16^2+4\times 16+8$

Change this to base 16 and we get

$840_{10}=348_{16}$

More information:

For the method, refer to the attachment.

Answer 2

Answer:

Step 3: Once we have obtained the octal number, the conversion from decimal to octal can be written as: (45)10 ( 45 ) 10 = (55)8 ( 55 ) 8 .