Let A = 1111 1010 arid B = 0000 1010 be two 8-bit 2's complement numbers.…

Step 1: Convert each 8-bit two's complement operand to decimal.

• 1111 1010 → invert bits → 0000 0101 (5), add 1 → 0000 0110 (6) → value = -6.

• 0000 1010 → already positive → value = +10.

Step 2: Multiply the decimal values.

• -6 × 10 = -60.

Step 3: Convert -60 to 8-bit two's complement.

• Start with +60: 0011 1100.

• Invert bits → 1100 0011. Add 1 → 1100 0100.

Result: 1100 0100

Therefore, the product of 1111 1010 and 0000 1010 in 8-bit two's complement representation is 1100 0100.