Question

(1011011)convert it binary to decimal

Answer 1

(1011011)2 = (91)10

Step by step solution

Step 1: Write down the binary number:

1011011

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

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

Step 3: Solve the powers:

1x64 + 0x32 + 1x16 + 1x8 + 0x4 + 1x2 + 1x1 = 64 + 0 + 16 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

64 + 0 + 16 + 8 + 0 + 2 + 1 = 91. This is the decimal equivalent of the binary number 1011011.

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Answer 2

(1011011)₂ = (91)₁₀

Correct question : (1011011)₂ convert it binary to decimal

Given :

The binary number (1011011)₂

To find :

Convert binary to decimal

Solution :

Step 1 of 2 :

Write down the given binary number

Here the given binary number is (1011011)₂

Step 2 of 2 :

Convert binary to decimal

$\displaystyle \sf{ (1011011)_2}$

$\displaystyle \sf =\bigg( (1\times {2}^{6} ) + (0\times {2}^{5} ) + (1 \times {2}^{4} )+ (1\times {2}^{3} ) + (0\times {2}^{2} ) + (1\times {2}^{1} ) + (1 \times {2}^{0} ) \bigg)_{10}$

$\displaystyle \sf{ = (64 + 0 + 16 + 8 + 0 + 2 + 1)_{10} }$

$\displaystyle \sf{ = (91)_{10} }$

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