Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

convert hexadecimal 8b3f to binary. 1011001111100011 1000101100111111 0…

Question

convert hexadecimal 8b3f to binary. 1011001111100011 1000101100111111 011010 35647

Explanation:

Step1: Convert each hexadecimal digit to 4 - bit binary

  • For \(8\): \(8_{10}=1000_2\)
  • For \(B\): \(B_{16} = 11_{10}=1011_2\)
  • For \(3\): \(3_{10}=0011_2\)
  • For \(F\): \(F_{16}=15_{10}=1111_2\)

Step2: Combine the 4 - bit binary numbers

Combine \(1000\), \(1011\), \(0011\), \(1111\) to get \(1000101100111111\)

Answer:

1000101100111111