Question

Convert following hexadecimal numbers into binary number :

(a) FF 

(b) ABC 

(c) CD42 

(d) F329

Answer 1

(a) FF 

Step-1: (F)₁₆= (15)₁₀ = 1111 

(F)₁₆= (15)₁₀ = 1111 

Step -2: put all digits together (1111 1111 )₂ 

(b) ABC 

Step-1: (A)₁₆=(10)₁₀ = 1010 

(B) ₁₆=(11)₁₀ = 1011 

(C) ₁₆= (12)₁₀ = 1100 

Step -2: put all digits together (1010 1011 1100)₂ 

(c) CD42 

Step-1: (C)₁₆= (12)₁₀ = 1100 

(D)₁₆= (13)₁₀ = 1101 

(4)₁₆= (4)₁₀ = 0100 

(2)₁₆ = (2)₁₀ = 0010 

Step -2: put all digits together (1100 1101 0100 0010)₂ 

(d) F329 

Step-1: (F)1₁₆= (15)₁₀= 1111 

(3)₁₆= (3)₁₀ = 0011 

(2)₁₆= (2)₁₀ = 0010 

(9)₁₆=(9)₁₀ = 1001 

Step -2: put all digits together (1111 0011’0010 1001)₂