Mathematics

Evaluate 101122 – 10122

Evaluate 101122 – 10122
  • A.
    1100002
  • B.
    1102
  • C.
    11000002
  • D.
    110002
Correct Answer: Option C
Explanation

101122 – 10122 = (1×23 + 0x22 + 1×21 + 1×20)2 – (1×22 + 0x21 + 1×22)2
(1×8 + 0x4 + 1×2 + 1×1) 2 – (1×4 + 0x2 + 1×1) 2)
= (8 + 0 + 2 + 1) 2 – (4 + 0 + 1) 2
= 112 – 52
= 16 x 6 = 96
9610 to base 2
2/96 = 48 R 0
2/48 = 24 R 0
2/24 = 12 R 0
2/12 = 6 R 0
2/6 = 3 R 0
2/3 = 1 R 1
2/1 = 0 R 1
11000002