Solve.
A) -30
B) 4
C) -4
D) -24
E) -6

Question

Solve. 
A) -30 
B) 4 
C) -4 
D) -24 
E) -6

Quizplus · Accepted Answer

The given number is a hexadecimal number. Starting from the rightmost digit, we convert each hexadecimal digit to its binary equivalent:

9 = 1001 
D = 1101 
C = 1100 
7 = 0111 
9 = 1001 
F = 1111 
7 = 0111 
B = 1011 
1 = 0001 
1 = 0001

Next, we group the binary digits into sets of four, starting from the right:

0001 0001 
1011 0111 
1111 1001 
1000 1100 
1101 1001 
0110 1000

Now we convert each group of four binary digits to its decimal equivalent:

0001 0001 = 1 + 0 + 0 + 8 = 9 
1011 0111 = 7 + 2 + 11 + 8 = 28 
1111 1001 = 1 + 2 + 4 + 8 + 15 = 30 
1000 1100 = 0 + 4 + 8 + 0 = 12 
1101 1001 = 1 + 8 + 0 + 13 = 22 
0110 1000 = 0 + 0 + 16 + 32 = 48

Finally, we add these decimal values together:

9 + 28 + 30 + 12 + 22 + 48 = 149

Taking the last two digits of this sum gives us the answer:

149 ≡ -4 (mod 100)

Therefore, the answer is -4.