Question

1. Assuming unsigned binary representation, convert 10110 (B) to decimal. Show work. 2

. Assuming unsigned binary representation, convert 12 (D) to binary. Show work.

4. Assuming 9-bit two’s complement representation and let x be binary representation of 94 (D) a. Find x. Show work.

b. Show the effect of the ASL operation on x, and then convert the result back to decimal.

c. Show the effect of the ASR operation on x, and then convert the result back to decimal.

5. Convert 4,096 (D) to hexadecimal. Show work.

6. Assuming 9-bit two’s complement binary representation, convert 1B4 (H) to decimal. Show work.

7. Assuming 9-bit two’s complement binary representation, convert -73 (D) to hexadecimal. Show work.

8. Convert 110.101001 (B) to decimal. Show work.

9. Convert 12.28125 (D) to binary. Show work.

10. Assuming a 3-bit exponent field and a 4-bit significand, write the bit pattern for 0.1015625 (D). Show work.

11. Assuming a 3-bit exponent field and a 4-bit significand, find the decimal value of the bit pattern 0001 0011.

12. The IEEE 754 single precision floating point representation format has an 8-bit cell for the exponent and 23 bits for the significand. (In total there are 1 + 8 + 23 = 32 bits = 4 bytes.) With this representation format, write the hexadecimal representation of the bit pattern of -1.0. 13. For the IEEE 754 single precision floating point representation format, find the binary value in the scientific notation of the hexadecimal representation B3500000.

Answer 1