You should show your work in detail as to how you arrived at the answer. Simply putting final answer will get a score of zero.

Q1. How negative numbers are represented in computer? What is twos complement rule?

Find twos complement of 0111.

Q2. How is negative number -6 represented using twos complement? What is the binary representation of -6?

Q3. How four will be subtracted from six (5 4) using twos complement rule?

Q4. How will computer perform the subtraction (7-5) using addition? Hint Twos complement 5.

Q5. Convert the binary number 01111110 to decimal, hexadecimal, and octal number.

Q6. Convert the following numbers to their decimal equivalent:

1010₂ 16₈ ADD

Q7. Convert the following decimal fractions to their binary equivalent:

0.10 .625

Q8. What is IEEE 754 32-bit floating point format? Explain the structure of bits and how exponent is stored.

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Q9. Covert the following IEEE 754 32-bit floating point number to its decimal equivalent:

0 10000011 01110000000000000000000

Q10. Convert 13.25₁₀ to IEEE 754 32-bit format.

Q11. What is the formula for computing the largest number that can be stored in n-bits? What the largest number that can be stored in 5 bits? How many possible numbers can be stored in 5-bits?

Q12. What is a bit and byte? How many bytes in a kilobyte?

Q13. Convert the decimal exponent -12 and 13 to Excess-127 representation.

Q14. Convert the exponent of the following binary number, represented in 32-bit IEEE 754 format:

1 10000111 01011101000000000000000