Converting Between Denary & Binary Flashcards

All 4 cards in this deck

What are the eight place values of an 8-bit binary number?

128, 64, 32, 16, 8, 4, 2, 1.

What is the largest denary number that can be stored in 8 bits?

255 (11111111).

What are the steps to convert a denary number to 8-bit binary?
e.g. convert 20

1. Write the place values 128 64 32 16 8 4 2 1.
2. Working from the left, put a 1 where the value fits and subtract it: 16, then 4.
3. Fill the rest with 0s: 00010100.

What are the steps to convert an 8-bit binary number to denary?
e.g. convert 00001101

1. Write the place values above the bits.
2. Add the place values wherever there is a 1: $8 + 4 + 1$.
3. Answer: 13.