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But how is the value of binary numbers determined? Check out the chart above, and then look at the sample
below:
0000 0000 = 0
0000 0001 = 1
0000 0010 = 2
0000 0100 = 4
0000 1000 = 8
0000 1111 = 15
1111 1111 = 256 (128 + 64 + 32 + 16 + 8 + 4 + 2 + 1)
You might have noticed that there are 256 possible values from a byte (all "On" = 256, all "Off" = 0). By
the way, 4 bits or half a byte is known as a "nibble" (see, computer folks have a sense of humor). How many
values are possible with a nibble: you got it 16! (all "On" = 15, all "Off" = 0).
simply adding or subtracting them is problematic. Converting decimal to binary isn't much fun either.
Quick...
what's the binary letter for 148 see what I mean? (BTW.. 1001 0100 (128+16+41).
Fortunately there is a number system that makes dealing with binary much easier:
Hexadecimal
With hexadecimal, you can work with one nibble at a time, which greatly simplifies conversion. Instead of
the ten values used in decimal notation, hexadecimal uses sixteen. Hmm, That should ring a bell... yes, a
nibble can represent up to 16 values. After the familiar 0 thru 9, hexadecimal uses the letters A thru F to
represent 10 thru 15, Check out the chart featuring hex and s=decimal equivalents.
Hexadecimal:
0
1
2
3
0
1
2
3
Decimal:
Hexadecimal:
10
11
12
13
16
17
18
19
Decimal:
So...
20 (TWENTY) IN DECIMAL IS EQUIVALENT TO 14 (ONE-FOUR) IN HEX! Keep in mind that the
largest hex number available from two digits is FF (255). Note: it is common to use symbols to identify
hexadecimal numbers.
Examples:
7F include:
7Fh, 7FH, $7F, 0x7F
4
5
6
7
4
5
6
7
14
15
16
17
20
21
22
232 24
Peavey PC1600X User Manual (rev-h)
8
9
A
B
8
9
10
11
18
19
1A
1B
25
26
27
52
C
D
E
F
12
13
14
15
1C
1D
1E
1F
28
29
30
31
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