1. (10 points) Assume 8-bit numbers and express -16 in both forms discussed in class.

Question

Question

Answer 1

Answer #1

A negative number can be represented in the following 2 forms :

1. Using two's complement

2. Using signed magnitude form

TWO'S COMPLEMENT :

So to represent -16 in two's complement form we follow the following steps

> First we represent 16 as 8-bit binary number : 00010000

> Next we find its one's complement : 11101111

> Then we add 1 to it (to find its two's complement) : 11110000

So, -16 represented using two's complement is 11110000

SIGNED MAGNITUDE :

So to represent -16 in the signed magnitude form we follow the following steps

> First we represent 16 as 8-bit binary number : 00010000

> Next we simply invert the leftmost zero. This will represent the negative sign. : 10010000

So, -16 represented using signed magnitude is 10010000

Answer 2

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