1. Which is bigger, 0x0400 or 1,000?

  2. How does the number of bits affect the biggest possible number you can hold?

  3. Convert the bit pattern 0101 0010 0110 1011 to hexadecimal.

  4. Can you think of an easy way to decide whether a number is even or odd just by looking at its binary representation.













Answers

  1. 0x0400 is bigger as it is 1,024 in decimal

  2. If you have 8 bits you can hold ( 1+2+4+8+16+32+64+128 ) = 255 as your highest value, and 0 as your smallest, giving a range of 0-255, or 256 possible values. Each time we add a bit we double the possible range, i.e. moving to 9 bits gives us 512 possible values

  3. 0101 is 4+1=5, 0010 is 2, 0110 is 4+2=6, 1011 is 11, giving a value of 0x526B(remember that B is the hex value for 11)

  4. For all odd numbers, the bottom bit is always 1, for even numbers, the bottom bit is always 0.