(a) Convert Binary 1110 0110 into Hexadecimal. [1]
(b) Convert Hexadecimal 2B into Binary. [1]
(c) Explain why computer scientists use Hexadecimal to represent binary numbers. [2]
✅ Mark Scheme
(a) E6
(b) 0010 1011
(c) Reason:
Easier for humans to read/write/remember (1).
Less chance of making errors (1).
⚠️ Common Mistake
Do NOT say "It takes up less storage space". Hex is just a representation for humans; the computer
stores everything as binary.
Score yourself (Max 4):
4[2 Marks]
Convert Hexadecimal 3E into Denary.
💡(3 * 16) + (14 * 1)
✅ Mark Scheme
Answer: 62
(Working: 3x16 = 48. E = 14. 48 + 14 = 62)
Score yourself (Max 2):
5[2 Marks]
Convert Denary 214 into Hexadecimal.
💡Hint: Turn into Binary first, then split into nibbles.
✅ Mark Scheme
Answer: D6
(Working: 214 -> 1101 0110 -> D 6)
Score yourself (Max 2):
6[4 Marks Total]
A student has the 4-bit binary number 1111.
(a) State the Denary value. [1]
(b) State the Hexadecimal value. [1]
(c) Identify the result of adding 0001 to 1111. Give your answer in 4-bit binary. [2]
✅ Mark Scheme
(a) Denary: 15
(b) Hex: F
(c) Addition:
0000 (1)
Overflow error / carry out (1)
⚠️ Common Mistake
The result is 10000, but in a 4-bit system, the '1' is lost (overflow), leaving
0000.