What is 11010111 in binary

General
1

what is 11010111 in binary

2

What is 11010111 in binary?

Answer:

The binary sequence “11010111” is already presented in binary form. This sequence consists of eight bits, and interpreting its value involves understanding how binary works. Binary is a base-2 numeral system that uses two symbols, 0 and 1, to represent numbers. Each position in a binary number represents a power of 2, starting from the rightmost digit, which corresponds to (2^0).

Step 1: Analyze Binary Digits

The given binary number is:

1  1  0  1  0  1  1  1

Each digit represents a different power of 2, from right to left:

  • The rightmost bit (1): (2^0 = 1)
  • The second bit (1): (2^1 = 2)
  • The third bit (1): (2^2 = 4)
  • The fourth bit (0): (2^3 = 0)
  • The fifth bit (1): (2^4 = 16)
  • The sixth bit (0): (2^5 = 0)
  • The seventh bit (1): (2^6 = 64)
  • The leftmost bit (1): (2^7 = 128)

Step 2: Calculate the Decimal Value

To convert the binary number to decimal (base-10), we sum up the decimal values corresponding to the positions where there are 1s:

  • (128) (from (2^7))
  • (64) (from (2^6))
  • (0) (from (2^5))
  • (16) (from (2^4))
  • (0) (from (2^3))
  • (4) (from (2^2))
  • (2) (from (2^1))
  • (1) (from (2^0))

Now, add these values together:

128 + 64 + 16 + 4 + 2 + 1 = 215

Final Answer:

The binary number 11010111 represents the decimal number 215.