About[]
A conversion table is a chart used to aid in changing one number form into a different number form for computations.
Hex-Dec Conversion[]
Convert a hexadecimal number into its decimal; multiply the decimal equivalent of each hexadecimal digit by the corresponding power of 16 and add the resulting values:
Example1: C0E716
1. C = (12 × 163) = (12 × 4096) =49,152
2. 0 = (0 × 162) = (0 × 256) = 0
3. E = (14 × 161) = (14 × 16) = 224
4. 7 = (7 × 160) = (7 × 1) = 7
C0E716 = (12 × 163) + (0 × 162) + (14 × 161) + (7 × 160) = (12 × 4096) + (0 × 256) + (14 × 16) + (7 × 1) = 49,38310
or
C0E716 = 49,152 + 0 + 224 + 7 = 49,38310
Bin-Hex Conversion[]
Convert a binary number into its hexadecimal; divide into groups of four bits. If the number of bits isn't a multiple of four, simply insert extra 0 bits at the left (called padding).
Example1: 10100102 = 0101 0010 (grouped with padding) = 5216
Group1:
| 8 | 4 | 2 | 1 |
| 0 | 0 | 1 | 0 |
Answer: 0010 = 2
Group2:
| 8 | 4 | 2 | 1 |
| 0 | 1 | 0 | 1 |
Answer: 0101 = 5
0101 0010 = 5216
Example2: 110111012 = 1101 1101 grouped = DD16
Hex-Bin Conversion[]
Convert a hexadecimal number into its binary; substitute the corresponding binary digits:
Example1: 0011 1010 = 3A16
Group1:
| 8 | 4 | 2 | 1 |
| 0 | 0 | 1 | 1 |
Answer: 0011 = 3
Group2:
| 8 | 4 | 2 | 1 |
| 1 | 0 | 1 | 0 |
Answer: 1010 = A (10)
Example2: 1110 01112
Answer: E(14)716
Reference[]
Links[]
See also[]
- Hexadecimal
- Binary
- Conversion Table