What should come in place of the blanks in the binary number (10_
| What should come in place of the blanks in the binary number (10_1001_11)2, to make its decimal value 715?
A. 0, 0
B. 0, 1
C. 1, 0
D. 1, 1
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Data: (10_1001_11)2
Option 1: (0, 0)
(10_1001_11)2 = (1001001011)2
(1001001011)2 = 1 × 29 + 1 × 26 + 1 × 23 + 1 × 21 + 1× 20 = 587
Option 2: 0, 1
(1001001111)2= 1 × 29 + 1 × 26 + 1 × 23 + 1 × 22 + 1 × 21 + 1× 20 = 591
Option 3: 1, 0
(1011001011)2 = 1 × 29 + 1 × 27 + 1 × 26 + 1 × 23 + 1 × 21 + 1× 20 = 715
Option 4: 1, 1
(1011001111)2 = 1 × 29 + 1 × 27 + 1 × 26 + 1 × 23 + 1 × 22 + 1 × 21 + 1× 20 = 719