Question

express with base 10 8^-2/64×(125)^4​

Answer 1

Answer:

(10010110)2 = (150)10

Step by step solution

Step 1: Write down the binary number:

10010110

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

1x27 + 0x26 + 0x25 + 1x24 + 0x23 + 1x22 + 1x21 + 0x20

Step 3: Solve the powers:

1x128 + 0x64 + 0x32 + 1x16 + 0x8 + 1x4 + 1x2 + 0x1 = 128 + 0 + 0 + 16 + 0 + 4 + 2 + 0

Step 4: Add up the numbers written above:

128 + 0 + 0 + 16 + 0 + 4 + 2 + 0 = 150. This is the decimal equivalent of the binary number 10010110

Step-by-step explanation:

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