1.8 - Number Systems and Conversion Flashcards
(5 cards)
1
Q
What does a hexadecimal digit represent?
A
4 Binary digits (4 bits / 1 nibble)
2
Q
Why does C8 = 200?
A
Because
16 x 12 = 192
1 x 8 = 8
192 + 8 = 200
12 = C
8 = 8
3
Q
Why does 100 (hex) = 256
A
Because
256 x 1 = 256
16 x 0 = 0
1 x 0 = 0
256 + 0 + 0 = 256
1 = 1
0 = 0
0 = 0
4
Q
When do you start using letters opposed to numbers when representing a nibble in hexadecimal?
A
When the nibble is over 9
5
Q
Why does A01 convert to 1010 0000 0001 in binary?
A
Because;
A = 2560 (256 x 10)
0 = 0 (16 x 0)
1 = 1 (1 x 1)
2560 + 1 = 2561
Initial 1 symbolises 2048
2nd 1 symbolises 512
Final 1 symbolises 1
2048 + 512 + 1 = 2561
