Question

Convert decimal +1.25 to 4 bit fixed point 2s complement binary format XX.XX

Answer 1

To convert +1.25 to 4-bit fixed-point 2's complement binary format XX.XX, follow a few steps. The binary representation of +1.25 is 0001.

Step-by-step explanation:

To convert the decimal number +1.25 to 4-bit fixed-point 2's complement binary format XX.XX, we can follow the steps below:

1. Convert the whole part of the decimal number to binary. In this case, +1 will be represented as 0001.
2. Convert the fractional part of the decimal number to binary by multiplying it by the base (2), moving left, and taking the integer part at each step. In this case, 0.25 x 2 = 0.5; 0.5 x 2 = 1.0. Therefore, the fractional part will be represented as 0100.
3. Combine the binary representation of the whole part and the fractional part. In this case, the binary representation will be 0001.0100.
4. Since we want to represent the number using 4 bits, we need to truncate or round the binary representation. In this case, we will truncate it to 0001.
5. Finally, since the original decimal number was positive, we don't need to make any changes to the binary representation.

Therefore, the 4-bit fixed-point 2's complement binary representation of +1.25 is 0001.