# Assignment: Decimal Integers

Assignment: Decimal Integers
Assignment: Decimal Integers
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
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)

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