Mapping Notations
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Use the chart below to practice all 4-bit number conversions.
Here are some more examples for you to try out:
Fig. 3. 8-bit Examples
|
Binary |
Base 4 |
Base 8 |
Decimal |
Hexadecimal |
Signed |
Signed |
|
0000 |
00 |
00 |
0 |
0 |
-8 |
0 |
|
0001 |
01 |
01 |
1 |
1 |
-7 |
+1 |
|
0010 |
02 |
02 |
2 |
2 |
-6 |
+2 |
|
0011 |
03 |
03 |
3 |
3 |
-5 |
+3 |
|
0100 |
10 |
04 |
4 |
4 |
-4 |
+4 |
|
0101 |
11 |
05 |
5 |
5 |
-3 |
+5 |
|
0110 |
12 |
06 |
6 |
6 |
-2 |
+6 |
|
0111 |
13 |
07 |
7 |
7 |
-1 |
+7 |
|
1000 |
20 |
10 |
8 |
8 |
0 |
-8 |
|
1001 |
21 |
11 |
9 |
9 |
+1 |
-7 |
|
1010 |
22 |
12 |
10 |
A |
+2 |
-6 |
|
1011 |
23 |
13 |
11 |
B |
+3 |
-5 |
|
1100 |
30 |
14 |
12 |
C |
+4 |
-4 |
|
1101 |
31 |
15 |
13 |
D |
+5 |
-3 |
|
1110 |
32 |
16 |
14 |
E |
+6 |
-2 |
|
1111 |
33 |
17 |
15 |
F |
+7 |
-1 |
|
Here is a few 8-bit examples you can try out after completing the rest of the sections. |
||||||
|
Number |
Decimal |
Hexadecimal |
Excess(128) |
Two's Complement |
Floating Point (normalized) |
|
|
11101110 |
238 |
EE |
+110 |
-18 |
-3 1/2 |
|
|
01011011 |
91 |
5B |
-37 |
+91 |
+1 3/8 |
|
|
10111000 |
184 |
B8 |
+56 |
-72 |
-1/4 |