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
For over 100 additional exercises designed to help you master binary and hex conversions, look for my first Kindle book, coming in April 2011 ...
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