convert the following into binary numbers to decimal numbers
1. 1001110
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convert the following into binary numbers to decimal numbers
1. 1001110
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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.