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?

A data path similar to the one in Figure 8-1 has 64 registers. How many selection lines are needed for each set of multiplexers and for the decoder?
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.
(a) What is the maximum number of operations that can be specified?
(b) How many registers can be addressed?
(c) What is the range of unsigned immediate operands that can be provided?
(d) 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?
A digital computer has 32-bit instructions. There are a number of different instruction formats, and the number of bits in each format used for opcodes varies depending on the bits needed for other fields. If the first bit of the opcode is 0, then there are three opcode bits. If the first bit of the opcode is 1 and the second bit of the opcode is 0, then there are six opcode bits. If the first bit of the opcode is 1 and the second bit of the opcode is 1, then there are nine opcode bits. How many distinct opcodes are available for this computer?

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