Converting between positive denary whole numbers and binary questions and answers
Q1. Represent the denary numbers 10, 31 and 250 in binary using one byte.
A1. 0000 1010, 0001 1111, 1111 1010
Q2. What is the denary equivalent of these binary numbers: 00000100, 10101010, 10000001
A2. 4, 170, 129
Q3. How many bits are there in 2 bytes?
A3. 16
Q4. What is the maximum and minimum numbers I can represent using one byte in pure binary?
A4. 0 and 255
Q5. What's the biggest and smallest number you can represent in a nibble?
A5. 0 and 15
Q6. What is the denary number 13 represented as a binary nibble?
A6. 1101
Q7. What is the denary number 9 represented as a binary nibble?
A7. 1001
Q8. What is the maximum positive whole number you can store with 5 bits?
A8. 31.
Q9. What is the maximum positive whole number you can store with 6 bits?
A9. 63
Q10. Explain how you could calculate your answers to Q8 and Q9 above.
A10. With 5 bits, you do (2 to the power 5) - 1. With 6 bits, you do (2 to the power 6) - 1.