Method:
- Write down the 8-bit binary number...
- Assign powers of 2 to each bit position...
- Multiply each digit by its corresponding power of 2...
- Add up the products from step 3...
Example:
Let's convert the binary number 10101110 to denary:
Binary number: 1 0 1 0 1 1 1 0
put binary digits in the correct place beneath each power of 2
Powers of 2:
27 26 25 24 23 22 21 20
128 64 32 16 8 4 2 1
___________________________________________________
1 0 1 0 1 1 1 0
Sum: 128 + 32 + 8 + 4 + 2 = 174
Therefore, the denary equivalent of the binary number 10101110 is 174.
Additional Tips:
You can use a table to organize the calculations, listing the binary digits, powers of 2.