Chapter 4, Problem 7E

Explanation of Solution

Range of values represented by the immediate (IMM):

• Given,
  • The given number of opcodes  is “60”.
  • The given number of registers is “32”.
  • Given that the IMM is a two’s complement value.
• Using “2” bits, “$2^2$”, which means “4” unique value can be produced.
• Using “3” bits, “$2^3$”, which means “8” unique bit patterns can be produced.
• Using “4” bits, “$2^4$”, which means “16” unique bit patterns can be produced.
• From the above points, the user can produce “${\text{2}}^{\text{n}}$” unique values using ‘n” bits.
• “64” unique values can be produced using “6” bits and this is feasible to represent “60” opcodes.
• Similarly, “32” registers can be represented using “5” bits