Can anyone explain why '>>2' shift means 'divided by 4' in C codes?

Question

I know and understand the result.

For example:

 7 (decimal) = 00000111 (binary) 


and 7 >> 2 = 00000001 (binary) 

        

Answer 1

Elaborating on Aniket Inge's answer:

Number: 307₁₀ = 100110011₂

How multiply by 10 works in decimal system

10 * (307₁₀)

= 10 * (3*10² + 7*10⁰)

= 3*10²⁺¹ + 7*10⁰⁺¹

= 3*10³ + 7*10¹

= 3070₁₀

= 307₁₀ << 1

Similarly multiply by 2 in binary,

2 * (100110011₂)

= 2 * (1*2⁸ + 1*2⁵ + 1*2⁴ + 1*2¹ 1*2⁰)

= 1*2⁸⁺¹ + 1*2⁵⁺¹ + 1*2⁴⁺¹ + 1*2¹⁺¹ 1*2⁰⁺¹

= 1*2⁹ + 1*2⁶ + 1*2⁵ + 1*2² + 1*2¹

= 1001100110₂

= 100110011₂ << 1