Reference no: EM13843916

Question 1:

1) Form the -ve hexadecimal number to 2's hex

hex to bin , bin to 2's , 2's to hex

Convert: -(C4)₁₆ = (F3C)₁₆

2) Convert 2's binary to decimal

2's - 1 , !bits , val = - (bin to dec):

Convert: (10110110)₂ = (-74)₁₀

3) Convert -ve decimal to binary

dec to bin , bin to 2's

Convert: (-217)₁₀ = (1111111100100111)_2s

4) Convert -ve decimal to hexadecimal

dec to 2's , 2's to hex

Convert: (-456)₁₀ = (FE38)₁₆

5) Convert -ve hexadecimal to decimal

hex to bin (2's) , 2's - 1 , !bits , val = - (bin to dec)

Convert: (5E9)₁₆ =

Question 2:

Pay attention to the BASEs in each expression

1) (10101)₂ + (1111)₂ = ( )₂
2) (10001)₂ - (11001)₂ = ( )₂
3) (101)₂ + (101)₁₀ = ( )₁₆
4) (101)₁₀ - (101)₁₆ = ( )2's
5) (ABC)₁₆ + (DEF)₁₆ = ( )16
6) (FED)₁₆ - (DEF)₁₆ = ( )2's

Question 3:

a. In the schematic diagram below, for each block 1 through 7, briefly explain its main function.

b. Explain the difference between the following two instructions (c++ code) as far as the machine execution cycle followed in the diagram below:

- bool x = true || false;
- float x = 1.1 + 2.2;