Question

convert the following into binary numbers to decimal numbers

1. 1001110​

Answer 1

Answer:

78

Explanation:

(1001110)2 = (78)10

Step by step solution

Step 1: Write down the binary number:

1001110

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

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

Step 3: Solve the powers:

1x64 + 0x32 + 0x16 + 1x8 + 1x4 + 1x2 + 0x1 = 64 + 0 + 0 + 8 + 4 + 2 + 0

Step 4: Add up the numbers written above:

64 + 0 + 0 + 8 + 4 + 2 + 0 = 78.

So, 78 is the decimal equivalent of the binary number 1001110.