Question

Which represents 28 written in base 4?
A 13
B 31
C 130
D 301
E 310

Answer 1

none 28÷4 is 6 this should be an option

Answer 2

Answer:

The base 4 representation of 28 will be option C) 130

Step-by-step explanation:

Base 4 numericals are multiplied with the powers of 4, like decimals are multiplied with powers of 10,

A) 13₄ = 1 x 4¹ + 3 x 4⁰ = 7

B) 31₄ = 3 x 4¹ + 1 x 4⁰ = 13

C) 130₄ = 1 x 4² + 3 x 4¹ + 0 x 4⁰ = 16 + 12 + 0 = 28

D) 301₄ = 3 x 4² + 0 x 4¹ + 1 x 4⁰ = 48 + 0 + 1 = 49

E) 310 = 3 x 4² + 1 x 4¹ + 0 x 4⁰ = 48 + 4 = 52

Hence the base 4 representation of 28 will be option C) 130