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101101 in binary is equivalent to what decimal number

A.48
b.45
c.46
d.47​


Sagot :

decimal number is

•°{B.45}°•

Step 1: Write down the binary number:

101101

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

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

Step 3: Solve the powers:

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

Step 4: Add up the numbers written above:

32 + 0 + 8 + 4 + 0 + 1 = 45.

So, 45 is the decimal equivalent of the binary number 101101.