Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is an example program that puts the first 20 prime numbers in memory cells 0..19:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R2 to 3, which is the second prime number SET R2 3 # Initialize R3 to 1, which will be used as a loop counter SET R3 1 # Initialize R4 to 0, which will be used to store the current memory address SET R4 0 # Loop until we have found 20 prime numbers LOOP: # Check if R2 is a prime number SET R5 R2 # Set R5 to the value of R2 SET R6 2 # Set R6 to 2 DIV R7 R5 R6 # Divide R5 by R6 and store the result in R7 MOD R8 R5 R6 # Get the remainder of R5 divided by R6 and store it in R8 EQ F R8 0 # Set the flag to True if R8 is equal to 0 JT IS_PRIME # If the flag is True, then R5 is not a prime number ADD R6 R6 1 # Otherwise, increment R6 by 1 GT R9 R6 R5 # Set R9 to 1 if R6 is greater than R5, otherwise set it to 0 JF LOOP_END # If R9 is 1, then R5 is a prime number JMP LOOP IS_PRIME: # If we are here, then R5 is a prime number # Store R5 in memory address R4 STORE R5 R4 # Increment R4 by 1 ADD R4 R4 1 # Increment R3 by 1 ADD R3 R3 1 # If R3 is less than or equal to 20, then continue the loop LTE R10 R3 20 JT LOOP LOOP_END: # Increment R2 by 2 (since all primes are odd, except for 2) ADD R2 R2 2 # If R2 is less than or equal to 100, then continue the loop LTE R11 R2 100 JT LOOP # Stop the program HCF |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R2 to 3, which is the second prime number SET R2 3 # Initialize R3 to 1, which will be used as a loop counter SET R3 1 # Initialize R4 to 0, which will be used to store the current memory address SET R4 0 # Loop until we have found 20 prime numbers LOOP: # Check if R2 is a prime number SET R5 R2 # Set R5 to the value of R2 SET R6 2 # Set R6 to 2 DIV R7 R5 R6 # Divide R5 by R6 and store the result in R7 MOD R8 R5 R6 # Get the remainder of R5 divided by R6 and store it in R8 EQ F R8 0 # Set the flag to True if R8 is equal to 0 JF IS_PRIME # If the flag is False, then R5 is a prime number ADD R6 R6 1 # Otherwise, increment R6 by 1 GT R9 R6 R5 # Set R9 to 1 if R6 is greater than R5, otherwise set it to 0 JF LOOP_END # If R9 is 1, then R5 is a prime number JMP LOOP IS_PRIME: # If we are here, then R5 is a prime number # Store R5 in memory address R4 STORE R5 R4 # Increment R4 by 1 ADD R4 R4 1 # Increment R3 by 1 ADD R3 R3 1 # If R3 is less than or equal to 20, then continue the loop LTE R10 R3 20 JT LOOP LOOP_END: # Increment R2 by 2 (since all primes are odd, except for 2) ADD R2 R2 2 # If R2 is less than or equal to 100, then continue the loop LTE R11 R2 100 JT LOOP # Stop the program HCF |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R2 to 3, which is the second prime number SET R2 3 # Initialize R3 to 1, which will be used as a loop counter SET R3 1 # Initialize R4 to 0, which will be used to store the current memory address SET R4 0 # Loop until we have found 20 prime numbers LOOP: # Check if R2 is a prime number SET R5 R2 # Set R5 to the value of R2 SET R6 2 # Set R6 to 2 DIV R7 R5 R6 # Divide R5 by R6 and store the result in R7 MOD R8 R5 R6 # Get the remainder of R5 divided by R6 and store it in R8 EQ F R8 0 # Set the flag to True if R8 is equal to 0 JF IS_PRIME # If the flag is False, then R5 is a prime number ADD R6 R6 1 # Otherwise, increment R6 by 1 GT R9 R6 R5 # Set R9 to 1 if R6 is greater than R5, otherwise set it to 0 JF LOOP_END # If R9 is 1, then R5 is a prime number JMP LOOP IS_PRIME: # If we are here, then R5 is a prime number # Store R5 in memory address R4 STORE R5 R4 # Increment R4 by 1 ADD R4 R4 1 # Increment R3 by 1 ADD R3 R3 1 # If R3 is less than or equal to 20, then continue the loop LTE R10 R3 20 JT LOOP LOOP_END: # Increment R2 by 2 (since all primes are odd, except for 2) ADD R2 R2 2 # If R2 is less than or equal to 100, then continue the loop LTE R11 R2 100 JT LOOP # Stop the program HCF |
invalid literal for int() with base 10: 'F' Resulting in output: False
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is a possible solution:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R2 to 3, which will be used to check for primality SET R2 3 # Initialize R3 to 0, which will be used as a counter for the prime numbers SET R3 0 # Initialize R4 to 0, which will be used to store the current number being checked SET R4 0 # Loop until we have found 20 prime numbers loop: # Increment R4 by 1 INC R4 # Set R5 to 2 (the smallest possible prime factor) SET R5 2 # Loop until R5 is less than or equal to the square root of R4 factor_loop: # Calculate the square root of R4 and store it in R6 SET R6 R4 MUL R6 R6 SET R7 2 LOOP_START: ADD R7 R7 CMP R5 R7 JG LOOP_END JMP LOOP_START LOOP_END: DIV R6 R7 # Check if R4 is divisible by R5 MOD R8 R4 R5 EQ R8 0 JT is_divisible # If R4 is not divisible by R5, increment R5 and continue the loop INC R5 JMP factor_loop # If R4 is divisible by R5, it is not a prime number. Go back to the main loop. is_divisible: CMP R5 R4 JT not_prime JMP loop # If R4 is not divisible by any number less than its square root, it is a prime number. not_prime: # Check if we have already found 20 prime numbers CMP R3 20 JG done # Store the prime number in memory STORE R4 R3 # Increment the counter INC R3 # Go back to the main loop JMP loop # Stop the program done: HCF |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R2 to 3, which will be used to check for primality SET R2 3 # Initialize R3 to 0, which will be used as a counter for the prime numbers SET R3 0 # Initialize R4 to 0, which will be used to store the current number being checked SET R4 0 # Loop until we have found 20 prime numbers loop: # Increment R4 by 1 INC R4 # Set R5 to 2 (the smallest possible prime factor) SET R5 2 # Loop until R5 is less than or equal to the square root of R4 factor_loop: # Calculate the square root of R4 and store it in R6 SET R6 R4 MUL R6 R6 SET R7 2 LOOP_START: ADD R7 R7 CMP R5 R7 JG LOOP_END JMP LOOP_START LOOP_END: DIV R6 R7 # Check if R4 is divisible by R5 MOD R8 R4 R5 EQ R8 0 JT is_divisible # If R4 is not divisible by R5, increment R5 and continue the loop INC R5 JMP factor_loop # If R4 is divisible by R5, it is not a prime number. Go back to the main loop. is_divisible: CMP R5 R4 JT not_prime JMP loop # If R4 is not divisible by any number less than its square root, it is a prime number. not_prime: # Check if we have already found 20 prime numbers CMP R3 20 JG done # Store the prime number in memory STORE R4 R3 # Increment the counter INC R3 # Go back to the main loop JMP loop # Stop the program done: HCF |
list index out of range Resulting in output: False
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is an example program that puts the first 20 prime numbers in memory cells 0..19 in the described assembly language:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 | # Initialize the first prime number to 2 SET R1 2 # Store the first prime number in memory address 0 STORE R1 0 # Initialize a counter for the number of primes found SET R2 1 # Loop until we have found 20 primes loop: # Increment the current number to check INC R1 # Initialize a counter for the number of factors found SET R3 0 # Loop through all the previously found primes factors: # If the current number is greater than the square of the current prime, # it must be prime, so we can break out of the loop EQ R1 R6 R6 MUL JG skip_factors # Check if the current number is divisible by the current prime EQ R1 R4 JT factors_found # Divide the current number by the current prime DIV R1 R4 # Check if the remainder is zero EQ R1 0 JT factors_found # If the current number is not divisible by the current prime, # move on to the next prime JMP next_factor factors_found: # Increment the counter for the number of factors found INC R3 next_factor: # Load the next prime into R4 LOAD R4 R2 # Increment the counter for the primes INC R2 # If we have found a factor, jump back to the beginning of the factors loop LT R3 2 JT factors # If we have not found any factors other than 1 and the number itself, # the number is prime, so store it in memory skip_factors: STORE R1 R2 # Increment the counter for the number of primes found INC R5 # Check if we have found 20 primes EQ R5 20 JT done # Jump back to the beginning of the loop JMP loop # Stop the program done: HCF |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 | # Initialize the first prime number to 2 SET R1 2 # Store the first prime number in memory address 0 STORE R1 0 # Initialize a counter for the number of primes found SET R2 1 # Loop until we have found 20 primes loop: # Increment the current number to check INC R1 # Initialize a counter for the number of factors found SET R3 0 # Loop through all the previously found primes factors: # If the current number is greater than the square of the current prime, # it must be prime, so we can break out of the loop EQ R1 R6 R6 MUL JG skip_factors # Check if the current number is divisible by the current prime EQ R1 R4 JT factors_found # Divide the current number by the current prime DIV R1 R4 # Check if the remainder is zero EQ R1 0 JT factors_found # If the current number is not divisible by the current prime, # move on to the next prime JMP next_factor factors_found: # Increment the counter for the number of factors found INC R3 next_factor: # Load the next prime into R4 LOAD R4 R2 # Increment the counter for the primes INC R2 # If we have found a factor, jump back to the beginning of the factors loop LT R3 2 JT factors # If we have not found any factors other than 1 and the number itself, # the number is prime, so store it in memory skip_factors: STORE R1 R2 # Increment the counter for the number of primes found INC R5 # Check if we have found 20 primes EQ R5 20 JT done # Jump back to the beginning of the loop JMP loop # Stop the program done: HCF |
list index out of range Resulting in output: False
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here's a possible assembly program to find and store the first 20 prime numbers in memory cells 0 to 19:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R6 to 0, which will be used to track the memory index SET R6 0 # Label for the start of the loop that checks if a number is prime LOOP: # Increment R6 and store the current value of R1 in memory location R6 INC R6 STORE R1 R6 # Initialize R2 to 2, which will be used to check divisibility SET R2 2 # Label for the inner loop that checks divisibility DIV_LOOP: # If R2 is greater than R1, then R1 is prime GT R2 R1 IS_PRIME # Check if R1 is divisible by R2 MOD R1 R2 R3 EQ R3 0 NOT_PRIME # If R1 is not divisible by R2, increment R2 and continue the loop INC R2 JMP DIV_LOOP # Label for the "IS_PRIME" case IS_PRIME: # Check if we have found 20 prime numbers EQ R6 19 STOP # If not, jump back to the start of the loop to find the next prime number JMP LOOP # Label for the "NOT_PRIME" case NOT_PRIME: # If R1 is not prime, we need to find the next possible prime number # Initialize R4 to R1 + 1 and R5 to 2 ADD R1 1 R4 SET R5 2 # Label for the loop that finds the next possible prime number FIND_PRIME: # Check if R4 is divisible by R5 MOD R4 R5 R3 EQ R3 0 NOT_PRIME_2 # If R4 is not divisible by R5, increment R5 and continue the loop INC R5 JMP FIND_PRIME # Label for the "NOT_PRIME_2" case NOT_PRIME_2: # If R4 is prime, set R1 to R4 and jump back to the start of the loop SET R1 R4 JMP LOOP # Stop the program STOP: HCF |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 | # Initialize R1 to 2, which is the first prime number SET R1 2 # Initialize R6 to 0, which will be used to track the memory index SET R6 0 # Label for the start of the loop that checks if a number is prime LOOP: # Increment R6 and store the current value of R1 in memory location R6 INC R6 STORE R1 R6 # Initialize R2 to 2, which will be used to check divisibility SET R2 2 # Label for the inner loop that checks divisibility DIV_LOOP: # If R2 is greater than R1, then R1 is prime GT R2 R1 IS_PRIME # Check if R1 is divisible by R2 MOD R1 R2 R3 EQ R3 0 NOT_PRIME # If R1 is not divisible by R2, increment R2 and continue the loop INC R2 JMP DIV_LOOP # Label for the "IS_PRIME" case IS_PRIME: # Check if we have found 20 prime numbers EQ R6 19 STOP # If not, jump back to the start of the loop to find the next prime number JMP LOOP # Label for the "NOT_PRIME" case NOT_PRIME: # If R1 is not prime, we need to find the next possible prime number # Initialize R4 to R1 + 1 and R5 to 2 ADD R1 1 R4 SET R5 2 # Label for the loop that finds the next possible prime number FIND_PRIME: # Check if R4 is divisible by R5 MOD R4 R5 R3 EQ R3 0 NOT_PRIME_2 # If R4 is not divisible by R5, increment R5 and continue the loop INC R5 JMP FIND_PRIME # Label for the "NOT_PRIME_2" case NOT_PRIME_2: # If R4 is prime, set R1 to R4 and jump back to the start of the loop SET R1 R4 JMP LOOP # Stop the program STOP: HCF |
integer division or modulo by zero Resulting in output: False
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is the description of a new assembly language: * 8 registers (R1, R2, R3, R4, R5, R6, R7, R8) that can hold integers. * 1 flag that can hold a boolean value (True or False). * 100 memory addresses (0-99) that can hold integers. * 1 instruction pointer that points to the current instruction being executed. Each instruction is of the form OP ARG1 ARG2 ... where ARGn can be either a register (e.g., R1) or a constant (e.g., 10). Labels are written with a lowercase word followed by colon. The assembly language supports the following instructions: * SET Rx C: Assigns the value C to register Rx. * ADD Rx Ry Rz: Adds the values of Ry and Rz and stores the result in Rx. * (similarly for SUB, MUL, DIV, MOD) * EQ Rx Ry: Sets the flag to True if Rx and Ry are equal, False otherwise. * (similarly for NEQ, LT (Rx < Ry), LTE, GT, GTE) * INC/DEC Rx: Increments/Decrements the value of Rx by one. * JMP L: Jumps to label L unconditionally. * JT/JF (jump if true / jump if false) L: Jumps to label L if the is set or not set. * LOAD Rx M: Loads the value at memory address M into register Rx. * STORE Rx M: Stores the value of register Rx into memory address M. * HCF: Stops the program (with pizzazz) Given this assembly language, write a program that puts the first 20 prime numbers in memory cells 0..19
Here is one possible program that puts the first 20 prime numbers in memory cells 0..19 in the given assembly language:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 | start: SET R1 2 ; initialize R1 to 2 (first prime number) SET R2 3 ; initialize R2 to 3 (second prime number) SET R3 0 ; set R3 to 0 (counter for the number of primes found) SET R4 100 ; initialize R4 to 100 (loop counter) SET R5 0 ; set R5 to 0 (index for memory cells) loop: SUB R4 1 ; decrement loop counter JT done ; jump to done if loop counter is 0 MUL R6 R2 R2 ; R6 = R2^2 SET R7 R2 ; R7 = R2 SET R8 R3 ; R8 = R3 (counter for inner loop) inner_loop: ADD R8 1 ; increment inner loop counter MUL R9 R7 R2 ; R9 = R7 \* R2 EQ R9 R6 ; check if R9 == R6 JT inner_done ; jump to inner\_done if R9 == R6 ADD R7 1 ; increment R7 JMP inner_loop ; jump back to inner\_loop inner_done: EQ R8 R3 ; check if inner loop counter == number of primes found JF store_prime ; jump to store\_prime if inner loop counter != number of primes found ADD R2 2 ; increment R2 by 2 JMP loop ; jump back to loop store_prime: STORE R2 M ; store R2 in memory cell M ADD R5 1 ; increment memory cell index ADD R3 1 ; increment prime counter ADD R2 2 ; increment R2 by 2 JMP loop ; jump back to loop done: HCF ; stop the program |
I extracted the following code from that output:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 | start: SET R1 2 ; initialize R1 to 2 (first prime number) SET R2 3 ; initialize R2 to 3 (second prime number) SET R3 0 ; set R3 to 0 (counter for the number of primes found) SET R4 100 ; initialize R4 to 100 (loop counter) SET R5 0 ; set R5 to 0 (index for memory cells) loop: SUB R4 1 ; decrement loop counter JT done ; jump to done if loop counter is 0 MUL R6 R2 R2 ; R6 = R2^2 SET R7 R2 ; R7 = R2 SET R8 R3 ; R8 = R3 (counter for inner loop) inner_loop: ADD R8 1 ; increment inner loop counter MUL R9 R7 R2 ; R9 = R7 \* R2 EQ R9 R6 ; check if R9 == R6 JT inner_done ; jump to inner\_done if R9 == R6 ADD R7 1 ; increment R7 JMP inner_loop ; jump back to inner\_loop inner_done: EQ R8 R3 ; check if inner loop counter == number of primes found JF store_prime ; jump to store\_prime if inner loop counter != number of primes found ADD R2 2 ; increment R2 by 2 JMP loop ; jump back to loop store_prime: STORE R2 M ; store R2 in memory cell M ADD R5 1 ; increment memory cell index ADD R3 1 ; increment prime counter ADD R2 2 ; increment R2 by 2 JMP loop ; jump back to loop done: HCF ; stop the program |
invalid literal for int() with base 10: ';' Resulting in output: False