Predict: Number Conversions
Make predictions about number conversions before calculating
How This Works
For each question, make a prediction BEFORE revealing the answer. Building intuition for number systems helps you spot errors quickly.
Binary Range Check
The binary number 11111111 represents which denary value?
Your prediction:
Binary to Denary
Convert the binary number 10101010 to denary.
Your prediction:
Denary to Binary
Convert denary 200 to binary.
Your prediction:
Binary Addition
Add: 01100100 + 00110010
(Hint: 100 + 50 in denary)
Your prediction:
Overflow Detection
Which of these additions will cause an overflow error in 8 bits?
Your prediction:
Hexadecimal to Denary
Convert hexadecimal A5 to denary.
Your prediction:
Binary to Hexadecimal
Convert binary 11110000 to hexadecimal.
Your prediction:
Left Shift
What is the result of shifting 00001100 (12) left by 2 positions?
Your prediction:
Right Shift
What is the result of shifting 01100000 (96) right by 3 positions?
Your prediction:
MSB and LSB
In the binary number 10110101, what is the value of the MSB (Most Significant Bit)?
Your prediction:
Key Patterns to Remember
- Powers of 2: 1, 2, 4, 8, 16, 32, 64, 128 - memorise these!
- Max 8-bit value: 255 (11111111 in binary, FF in hex)
- Hex digits A-F: A=10, B=11, C=12, D=13, E=14, F=15
- Left shift: Multiplies by 2 per position
- Right shift: Divides by 2 per position (integer division)
- 4 bits = 1 hex digit: Split binary into groups of 4