Final answer:
To implement the SLT instruction, compare the numbers and check the sign bit of the subtract result. To implement the BEQ instruction, compare the numbers and check if the subtract result is 0. To test for overflow, add the numbers and check if the result exceeds the maximum representable value.
Step-by-step explanation:
To implement the test for less-than (SLT) instruction in a 32-bit ALU, we need to compare the two input numbers and set the output to 1 if the first number is less than the second number. We can use the subtract operation, which subtracts the second number from the first number, and check the sign bit of the result. If the sign bit is 1, then the result is negative and the first number is less than the second number. If the sign bit is 0, then the result is non-negative and the first number is not less than the second number.
To implement the test of equality (BEQ) instruction, we need to compare the two input numbers and set the output to 1 if the two numbers are equal. We can use the subtract operation, which subtracts the second number from the first number, and check if the result is 0. If the result is 0, then the two numbers are equal.
To test for overflow in the ALU, we can add three numbers: 2 + 2 + 2. If the result is greater than the maximum representable value in 32 bits, which is 2^31 - 1, then overflow has occurred. Otherwise, overflow has not occurred. In this case, the result of 2 + 2 + 2 is 6, which is less than the maximum representable value, so overflow has not occurred.