Question

convert binary in decimal 10001110​

Answer 1

Answer = 142

$(10001110)_{2}$ = $142_{10}$

Step by step solution

Step 1: Write down the binary number:

10001110

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x2^7 + 0x2^6 + 0x2^5 + 0x2^4 + 1x2^3 + 1x2^2 + 1x2^1 + 0x2^0

 

Step 3: Solve the powers:

1x128 + 0x64 + 0x32 + 0x16 + 1x8 + 1x4 + 1x2 + 0x1 = 128 + 0 + 0 + 0 + 8 + 4 + 2 + 0

Step 4: Add up the numbers written above:

128 + 0 + 0 + 0 + 8 + 4 + 2 + 0 = 142.

So, 142 is the decimal equivalent of the binary number 10001110.