Answer:
a. Using 32bit unsigned binary system, x is bigger than y
b. Using 32 bit signed system, x is not bigger than y.
Explanation:
a.
x = (1111 1111 1111 1111 1111 1111 1111 1100)2
y = (0011 1011 1001 1010 1000 1010 0000 0000)2
In an unsigned system all binary digits are used up as the magnitude bits;
First, we need to convert each number to decimal
x = 4294967292 (decimal)
y = 999983616 (decimal)
4294967292 is greater than 999983616
So, x is greater than y (in 32 bit unsigned binary system)
b.
x = (1111 1111 1111 1111 1111 1111 1111 1100)2
y = (0011 1011 1001 1010 1000 1010 0000 0000)2
In a signed system, the most significant bit is used as the signed bit, the remaining bits are used in representing the magnitude bits;
The most significant bit is always the first bit.
0 represents positive (+)
While
1 represents negative (-)
First we need to separate the most significant bit from the magnitude bits.
So x = 1 (111 1111 1111 1111 1111 1111 1111 1100)2
And y = 0 (011 1011 1001 1010 1000 1010 0000 0000)2
Then, we need to convert each number to decimal
x = -2147483644
y = +999983616
From the above, y is greater than x
