Question

What is the largest negative signed integer (furthest away from zero in the negative direction) that may be stored in 4 bits?

a. -24 − 1

b. -24

c. -23 − 1

d. -23

What is the largest signed integer that may be stored in 16 bits?

a. 216 − 1

b. 216

c. 215 − 1

d. 215

The 16-bit two’s complement representation of -33 decimal number is _____?

a.        0000 0000 0010 0001

b.        0000 0000 1101 1111

c.        1111 1111 1101 1111

d.        1111 1111 1101 1110

Using the truth table below with (X as the first column and Y as the second column) to figure out the value of not X and Y or X. The answer is_____.

F F     

F T

T F

T T

a.       F
F
F
T

b.       F
F
F
F

c.        F
T
F
T

d.       F
T
T
T

Which is true of the two expressions?  

Expression1: Not x and Not y   Expression 2:  not(x or y)

a.         The two expressions are equal in all 4 cases.

b.         The two expressions are only equal if both x and y are true.

c.          The two expressions are only equal if both x and y are false.

d.         The two expressions are only equal if both x and y are the opposite of each other.

In any numbering system, the radix specifies the range of alphanumeric digits that can be assigned to a single digit position.
a.True
b.False

The 8-bit two's complement of binary 00000010 is 11111110.
a.True
b.False

The expression ¬X ∧ ¬Y is false when X is true and Y is true
a.True
b.False