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how to convert 111101 to base 2

Sagot :

kellyjoan3832

Step-by-step explanation:

111101)2 = (61)10

Step by step solution

Step 1: Write down the binary number:

111101

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

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

Step 3: Solve the powers:

1x32 + 1x16 + 1x8 + 1x4 + 0x2 + 1x1 = 32 + 16 + 8 + 4 + 0 + 1

Step 4: Add up the numbers written above:

32 + 16 + 8 + 4 + 0 + 1 = 61.

So, 61 is the decimal equivalent of the binary number 111101.

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