10101110 binary into decimal for class 7
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Step-by-step explanation:
Step 1: Write down the binary number:
10101110
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x27 + 0x26 + 1x25 + 0x24 + 1x23 + 1x22 + 1x21 + 0x20
Step 3: Solve the powers:
1x128 + 0x64 + 1x32 + 0x16 + 1x8 + 1x4 + 1x2 + 0x1 = 128 + 0 + 32 + 0 + 8 + 4 + 2 + 0
Step 4: Add up the numbers written above:
128 + 0 + 32 + 0 + 8 + 4 + 2 + 0 = 174.
So, 174 is the decimal equivalent of the binary number 10101110.
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