21 Aug ENGR 325

 

 

 

 

1. (5) What is 5ED4 – 07A4 when these values represent unsigned 16-bit hexadecimal numbers? The

 

result should be written in hexadecimal. Show your work. (P&H 3.1, §3.2)

 

 

 

2. (5) What is 5ED4 – 07A4 when these values represent signed 16-bit hexadecimal numbers stored in

 

sign-magnitude format? The result should be written in hexadecimal. Show your work. (P&H 3.2,

 

§3.2)

 

 

 

3. (5) What is 4365 – 3412 when these values represent unsigned 12-bit octal numbers? The result

 

should be written in octal. Show your work. (P&H 3.4, §3.2)

 

 

 

4. (5) What is 4365 – 3412 when these values represent signed 12-bit octal numbers stored in signmagnitude format? The result should be written in octal. Show your work. (P&H 3.5, §3.2)

 

 

 

5. (5) Assume 185 and 122 are unsigned 8-bit decimal integers. Calculate 185 – 122. Is there

 

overflow, underflow, or neither? (P&H 3.6, §3.2)

 

 

 

6. (5) Assume 185 and 122 are signed 8-bit decimal integers stored in sign-magnitude format.

 

Calculate 185 + 122. Is there overflow, underflow, or neither? (P&H 3.7, §3.2)

 

 

 

7. (5) Assume 185 and 122 are signed 8-bit decimal integers stored in sign-magnitude format.

 

Calculate 185 – 122. Is there overflow, underflow, or neither?

 

 

 

8. (5) Assume 151 and 214 are signed 8-bit decimal integers stored in two’s complement format. Calculate 151 + 214 using saturating arithmetic. The result should be written in decimal. Show work

 

 

 

9. (5) Assume 151 and 214 are signed 8-bit decimal integers stored in two’s-complement format.

 

Calculate 151 – 214 using saturating arithmetic. The result should be written in decimal. Show

 

your work. (P&H 3.10, §3.2)

 

 

 

10. (5) Assume 151 and 214 are unsigned 8-bit integers. Calculate 151 + 214 using saturating

 

arithmetic. The result should be written in decimal. Show your work. (P&H 3.11, §3.2)

 

 

 

 

 

11. (5) As discussed in the text, one possible performance enhancement is to do a shift and add instead

 

of an actual multiplication. Since 9 x 6, for example, can be written (2 x 2 x 2 + 1) x 6, we

 

can calculate 9 x 6 by shifting 6 to the left three times and then adding 6 to that result. Show the

 

best way to calculate 0x33 x 0x55 using shifts and adds/subtracts. Assume both inputs are 8-bit

 

unsigned integers. (P&H 3.17, §3.3)

 

 

 

12. (5) What decimal number does the bit pattern 0x0C000000 represent if it is a two’s complement

 

integer? An unsigned integer? (P&H 3.20, §3.5)

 

 

 

13. (5) If the bit pattern 0x0C000000 is placed in the Instruction Register, what MIPS instruction will be

 

executed? (P&H 3.21, §3.5)

 

 

 

14. (5) What decimal number does the bit pattern 0x0C000000 represent if it is a floating point

 

number? Use the IEEE 754 standard. (P&H 3.22, §3.5)

 

 

 

15. (5) Write down the binary representation of the decimal number 63.25 assuming the IEEE 754 single

 

precision format. (P&H 3.23, §3.5)

 

 

 

16. Write down the binary representation of the decimal number 63.25 assuming the IEEE 754 double

 

precision format. (P & H 3.24, 3.5)