Explanation:

To find the digit in the unit place of   , we need to use the repeating pattern of units digits in powers of 2. The units digits of powers of 2 cycle through a pattern of 4:

- 2¹ = 2 (units digit 2)

- 2² = 4 (units digit 4)

- 2³ = 8 (units digit 8)

- 2⁴ = 16 (units digit 6)

After every four numbers, the pattern repeats (2, 4, 8, 6, repeat).

- Since 2¹⁰⁰ is a multiple of 4, digit in the unit place of  corresponds to the digit of 6

Option 3 (6) is the correct choice