A 16-bit processor has 16-bit wide instructions and a few internal registers. Every 16-bit instruction is encoded in a fixed format with one operation code of 7 bits and up to three operands. The operand can be an internal register and each operand is encoded by 3 bits. All the internal registers can be specified in an instruction using three bits. The correct statement(s) for this processor is/are _____.
Opcode Calculation
The processor uses 7 bits for the operation code (opcode).
The number of unique Opcodes that can be represented by n bits is calculated as $2^n$.
- Number of unique Opcodes = $2^7$
- Number of unique Opcodes = 128
Therefore, the processor can support 128 unique Opcodes. This aligns with Option B.
Register Calculation
Each operand is encoded using 3 bits, and these bits specify an internal register.
The number of unique internal registers that can be specified using n bits is $2^n$.
- Number of internal registers = $2^3$
- Number of internal registers = 8
Therefore, the processor has up to 8 internal registers. This aligns with Option C.
Conclusion
Based on the calculations:
- The processor can support 128 unique Opcodes (Option B is correct).
- The processor has up to 8 internal registers (Option C is correct).
The correct statements are B and C.
Important Questions from Instructions
Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.
Statement:
I. All film stars are playback singers.
II. All film directors are film stars.
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.
All people in a certain are either ‘Knights’ or ‘Knaves’ and each person knows every other person’s identity. Knights NEVER lie, and knaves ALWAYS lie.
P says “Both of us are knights”, Q says “None of us are knaves”.
Which one of the following can be logically inferred from the above?Fact: If it rains, then the field is wet.
Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?A smart city integrates all modes of transport, uses clean energy and promotes the sustainable use of resources. It also uses technology to ensure the safety and security of the city, something which critics argue, will lead to a surveillance state.
Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.The binary operation □ is defined as a □ b = ab + (a + b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a □ x = a, for any a, is_______.
