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A processor has 16 integer registers (R0, R1, … , R15) and 64 floating point registers (F0, F1, … , F63). It uses a 2-byte instruction format. There are four categories of instructions: Type-1, Type-2, Type-3, and Type 4. Type-1 category consists of four instructions, each with 3 integer register operands (3Rs). Type-2 category consists of eight instructions, each with 2 floating point register operands (2Fs). Type-3 category consists of fourteen instructions, each with one integer register operand and one floating point register operand (1R+1F). Type-4 category consists of N instructions, each with a floating point register operand (1F). The maximum value of N is _______ . 
Note -This was Numerical Type question.
  • a)
    32
  • b)
    64
  • c)
    256
  • d)
    512
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A processor has 16 integer registers (R0, R1, … , R15) and 64 f...
Given, size of instruction format is 2 byte (= 16 bits), therefore number of instruction encoding = 216 Also, total number of bits in integer operand = log2(16 integer registers) = 4 Total number of bits in floating point operand = log2(64 floating point registers) = 6 So, number of encoding consumed: By type 1 instructions = 4×23×4 = 214 By type 2 instructions = 8×22×6 = 215 By type 3 instructions = 14×2(4+6) = 14336 Now, number of encoding left for type 4 instructions = 216 − (214 + 215 + 14336) = 2048 Therefore, total number of different instructions of type 4 instructions = 2048 /64 = 32 Please note that there is difference between number of different instructions and number of different encoding, a single instruction can have different encodings when the address part differs. So, answer is 32.
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A processor has 16 integer registers (R0, R1, … , R15) and 64 f...
R2, ..., R15) and 16 floating-point registers (F0, F1, F2, ..., F15). These registers are used to store data during the execution of a program. The processor can perform operations on the data stored in these registers, such as arithmetic operations, comparisons, and data transfers.

The integer registers are typically used to store integers or memory addresses. They are 32 bits wide, which means they can store numbers in the range of -2^31 to 2^31 - 1. These registers can be used to perform arithmetic operations, logical operations, and data transfers.

The floating-point registers, on the other hand, are used to store floating-point numbers, which are numbers with fractional parts. They are typically 64 bits wide, allowing for more precision in calculations. These registers can be used to perform arithmetic operations, such as addition, subtraction, multiplication, and division, on floating-point numbers.

The processor also has other registers, such as a program counter (PC), which stores the memory address of the next instruction to be executed, and various control registers, which control the behavior of the processor.

The use of registers allows the processor to quickly access data needed for calculations, as registers are located on the processor itself and have very low access times compared to main memory. This helps improve the performance of the processor and allows for faster execution of programs.
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A processor has 16 integer registers (R0, R1, … , R15) and 64 floating point registers (F0, F1, … , F63). It uses a 2-byte instruction format. There are four categories of instructions: Type-1, Type-2, Type-3, and Type 4. Type-1 category consists of four instructions, each with 3 integer register operands (3Rs). Type-2 category consists of eight instructions, each with 2 floating point register operands (2Fs). Type-3 category consists of fourteen instructions, each with one integer register operand and one floating point register operand (1R+1F). Type-4 category consists of N instructions, each with a floating point register operand (1F). The maximum value of N is _______ .Note -This was Numerical Type question.a)32b)64c)256d)512Correct answer is option 'A'. Can you explain this answer?
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