floating point numbers

1: 0.25 to floating point (single precision)

20s

2: what is the value stored in the exponent for converting 1 from decimal to floating point

15s

3: Which of the following are correct representations for NaN?

15s

4: Convert 0 10000010 100011000000…. to decimal from single precision (32-bit)

30s

5: Sort these numbers from least to greatest

45s

• 1 10000100 00000000000000000000000

• 1 00000100 00000000000000000000000

• 0 00000100 10000000000000000000000

• 0 1000010 000000000000000000000000

6: Which of decimal integers greater than 33554432 is represented by the floating point number representation of 33554432 (2^25)

15s

All numbers between 33554433 and 33554434 are correct, where numbers between 33554429 and 33554436 can be selected.

7: 0.3 to floating point representation

23s

8: add 01000001100000000000000000000000 + 01001011100000000000000000001001 (single precision floating point numbers represented in binary, result in base 10 or float)

20s

9: Which operations do not result in NaN?

20s

10: Sort Largest to smallest

40s

• 01111111000010010011110000000110

• 10111111100010010011110000000110

• 10111111000010010011110000000110

• 00011111000010010011110000000110

11: In which range is the base 2 logarithm of 01011111100010010011110000000110

20s

12: Which of these subtractions will not result in a difference in the larger number (x=01010000000010001001001000100100) ?

20s