Question

How can we check if a bit is 0 or 1 in LC₃?

1) Use the AND instruction
2) Use the OR instruction
3) Use the NOT instruction
4) Use the XOR instruction

Answer 1

In LC₃, we can check if a bit is 0 or 1 using the AND instruction. This can be done by performing an AND operation between the binary number and a value that has the specific bit set to 1 and all other bits set to 0.

Step-by-step explanation:

In LC₃, we can check if a bit is 0 or 1 by using the AND instruction. The AND instruction compares two binary numbers bit by bit and returns 1 only if both bits are 1. If one of the bits is 0, the result will be 0. Therefore, by using the AND instruction with a known value that has all bits except the one we want to check set to 0, we can determine if the bit is 0 or 1.

For example, to check if the 4th bit of a binary number is 0 or 1, you can perform an AND operation with the binary number and a value that has the 4th bit set to 1 and all other bits set to 0. If the result is 0, it means the 4th bit is 0. If the result is non-zero, it means the 4th bit is 1.

Here is the step-by-step process to check if a bit is 0 or 1 using the AND instruction in LC₃:

1. Load the binary number into a register.
2. Load the value with the specific bit set to 1 and all other bits set to 0 into another register.
3. Perform an AND operation between the two registers.
4. If the result is 0, the bit is 0. If the result is non-zero, the bit is 1.