Question

convert binary number 1110001 to it's decimal equivalent, plz provide steps​

Answer 1

ANSWER

1110001=113

EXPLAINATION

Step 1: Write down the binary number:

1110001

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

1x26 + 1x25 + 1x24 + 0x23 + 0x22 + 0x21 + 1x20

Step 3: Solve the powers:

1x64 + 1x32 + 1x16 + 0x8 + 0x4 + 0x2 + 1x1 = 64 + 32 + 16 + 0 + 0 + 0 + 1

Step 4: Add up the numbers written above:

64 + 32 + 16 + 0 + 0 + 0 + 1 = 113.

So, 113 is the decimal equivalent of the binary