Question 1
1 markAn encryption system uses keys that are 12 bits long.
State how many different keys are possible.
Model answer
2¹² = 4096 different keys
Explanation
Each bit can be 0 or 1, so every extra bit doubles the number of possible keys: n bits give 2ⁿ keys. 2¹⁰ = 1024, so 2¹² = 1024 × 4 = 4096.
Mark scheme
-
1 mark
4096
accept 2¹² if evaluated as 4096; do not accept 2¹² unevaluated, 12 or 24