Under two's complement representation, how many bits will it take to represent, the number 131? How about -128? Show that in a 4-bit binary architecture using 2's complement representation, the following operations provide the correct result: Positive plus Positive: 3 + 4 Negative plus Positive: -1 + 4 Negative plus Negative: -2 + (-2) Show that in a 4-bit binary architecture using 2's complement representation, the following operations DO NOT provide the correct result: Positive plus Positive: 5 + 5 Negative plus Positive: -4 + (-6) But wait! In both of the previous questions (parts 2, 3), there were instances in which a carry bit was dropped. Explain why the arithmetic operations in 2 work but not in those in 3