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CCNA And CCENT Practice Exam:

Hex And Binary Conversions

Chris Bryant, CCIE #12933

 

You CCNP candidates need to take this one, too -- you never know when these conversions will pop up.

Trust me.

Let's get to the questions!

All of today's questions are short answer. No need to thank me. ;)

Convert the following....

 

1. Hex value aC4 to decimal

 

2. Decimal 1092 to hex

 

3. Binary string 00110010 to decimal

 

4. Binary string 11001101 to hex

 

5. Hex value C8 to binary

 

Chris Bryant's CCNA and CCENT 
Video Boot Camp

 

The answers:

1. Hex value aC4 into decimal

This means we have...

"a" units of 256

"c" units of 16

"4" units of 1

In hex, "a" is 10 and "c" = 12. Therefore, we have ....

10 units of 256 = 2560

12 units of 16 = 192

4 units of 1 = 1

Add them up and you get 2756.

By the way, get used to doing these conversions and additions by hand -- you can't use the Windows calculator in the exam room.

 

2. Decimal 1092 into hex

First question: Are there units of 256 in this value? Sure, there are actually four of them...

4 x 256 = 1024

Subtract that from 1092 and we have 68 left. Are there units of 16 in 68? Sure, there are 4 of those as well.

4 x 16 = 64

That leaves us 4, which is four units of 1.

Our hex value: 444

 

3. Binary string 00110010 into decimal

Going from left to right, the following bits are set to one -- 32, 16, and 2. Add them up and you have 50.

 

4. Binary string 11001101 into hex

A little more work is needed here, but not much. ;)

These bits are set to one: 128, 64, 8, 4, and 1. Add them up and you have 205.

Converting to hex, we obviously don't have any units of 256 in there. We have plenty of 16s, though - twelve of them.

16 x 12 = 192 (12 = "c"

We have 13 remaining, which in hex is "d" - so the resulting hex value is "cd".

 

5. Hex value C8 into binary

Converting that to decimal, we have 200 -- and you can probably convert that in your sleep at this point.

But just in case you're not sleeping, that binary string would have the 128, 64, and 8 bits set, resulting in:

11001000

 

Chris Bryant's CCNA and CCENT 
Video Boot Camp