3. Convert the following decimal fractions to binary with a maximum of six places to the right of the binary point:

a) 25.84375 b) 57.55

4. Convert the following binary fractions to decimal: a) 10111.1101

b) 100011.10011

5. Represent the following decimal numbers in binary using 8-bit signed magnitude, ones complement, twos complement, and excess-127 representations: a) 97

b) -97

6. What decimal value does the 8-bit binary number 10110100 have if:

1. a) it is interpreted as an unsigned number?

2. b) it is on a computer using signed-magnitude representation?

3. c) it is on a computer using ones complement representation?

4. d) it is on a computer using twos complement representation?

7. Convert the hexadecimal number AC1216 to binary.

8. Convert the binary number 0111 1010 0000 0001 to hexadecimal.

9. Show how each of the following floating point values would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and mantissa fields): a) -1.5 b) 26.625