Question

1. 101_b= 26₁₀, what is b?  

2. How the following numbers will be represented in 4-bit (a) sign-magnitude (b) two’s complement and (c) unsigned representations. Indicate if not possible.

2,  5,   7,   8  

3. How the following negative numbers will be represented in 4-bit (a) sign-magnitude and b) two’s complement representations. Indicate if not possible.
   -2,     -5,   -7,  -8

4. Consider the following java program snippet (hint: byte is represented as 8-bit 2’s complement number in java- run the program in java to check it). What will be printed? Explain.

byte x = 127, y = -128;

System.out.println(++x);

System.out.println(--y);

5. Perform the indicated operations on 4-bit 2’s compliment numbers.  Which of the following will overflow?

1111 + 1100         b)  1000 + 1111   c)  0001 + 0011    d) 0111 + 00

Answer 1