Please solve. Thanks A computer has a 32-bit instruction word broken into fields

Question

Please solve. Thanks

A computer has a 32-bit instruction word broken into fields as follows: opcode, six bits; two register file address fields, five bits each; and one immediate operand/register file address field, 16 bits. What is the maximum number of operations that can be specified? How many registers can be addressed? What is the range of unsigned immediate operands that can be provided? What is the range of signed immediate operands that can be provided, assuming that the operands are in 2s complement representation and that bit 15 is the sign bit?

Explanation / Answer

a)

operations are specified with opcode which has a width of 6 bits.

Now each bit can either have 0 or 1. so in total 2^ 6 = 64 operations can be specified.

b)

There are two 5 bits fields for each register.

so 2^5 = 32 registers can be specified.

c)

the maximum value which can be represented is

2^16 -1 = 65535 so the maximum value can be 65535.

d)

if it is signed then in that case it will be

2^15 - 1= 32767 and also negative number will be 2^15 = -32768

so from -32768 to 32767

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