1. Consider a simple 16-bit floating point format that uses one bit to indicate sign (1 means negative), 11 bits for the mantissa, and 4 bits for an exponent stored in two’s complement format. The bits are stored left to right in the above order; i.e., the sign bit is leftmost and the exponent bits are rightmost. What numbers are represented by these bits?
    • 1101 0100 0000 0110
    • 0000 0000 0001 1000
    • 0000 0000 0000 0000
  2. Using the above floating point format, write the binary representation for these decimal numbers. (Note: some of these numbers may not be representable in binary. If so, please state that fact and use the closest approximation you can create in this 16-bit format):
    • -0.125
    • 4.5
    • 1/3
    • 0.1
  3. Choose three more decimal numbers and write their floating point binary representations.