2. In a von Neumann architecture, groups of bits have no intrinsic meanings by t

Question

2. In a von Neumann architecture, groups of bits have no intrinsic meanings by themselves. What a bit pattern represents depends entirely on how it is used. Consider the following bit patterns expressed in hexadecimal notation. (20 pts)

8D28000016

1) What decimal number does the bit pattern represent if it is an integer?

2) What decimal number does the bit pattern represent if it is an unsigned integer?

3) If the bit pattern is in an instruction register, what MIPS instruction will be executed?

4) What decimal number does the bit pattern represent if it is a floating point number? Use the IEEE 754 standard.

Explanation / Answer

Answer:

Decimal= 8×16³+13×16²+2×16¹+8×16 = 36136

1) Decimal= 8×16³+13×16²+2×16¹+8×16 = 36136.

2) Decimal= 8×16³+13×16²+2×16¹+8×16 = 36136
Signed decimal = -29400

3) If you know the format of an instruction register then the number of bits represents how many instructions can be executed . something like this.

4) Like if you use the IEEE 754 then single point representation is 32 bits and another is 64 bits.. you can convert the hex into binary and then check.

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