Binary to denary (NF)

Steps

1. Write the place values from the right: 1, 2, 4, 8, 16, …
2. Add the place values where the digit is 1.
3. Check: the denary number is odd exactly when the last binary digit is 1.

Worked examples

place values:  16  8  4  2  1
digits:         1  0  1  1  0
16 + 4 + 2 = 22     last digit 0, so even ✓

For the whole topic, read Indices and scientific notation: key points, common mistakes and how the DSE tests it.

Other methods in this topic