Binary number `1001001` is equivalent to the decimal number :

Options

A. `37`
B. `73`
C. `41`
D. `32`

Explanation

To convert the binary number `1001001` to its decimal equivalent, we can follow these steps:

### Step 1: Write the Binary Number
The binary number we are working with is `1001001`.

### Step 2: Write the Binary Weightage
Next, we will assign the binary weightage to each digit in the binary number. The weightage is based on powers of 2, starting from the rightmost digit (which is 2^0) and moving to the left.

- The binary number `1001001` has 7 digits. We will write the powers of 2 from right to left:
- 2^6 = 64
- 2^5 = 32
- 2^4 = 16
- 2^3 = 8
- 2^2 = 4
- 2^1 = 2
- 2^0 = 1

So, the weightage for each digit is:
- 1 (for 2^6)
- 0 (for 2^5)
- 0 (for 2^4)
- 1 (for 2^3)
- 0 (for 2^2)
- 0 (for 2^1)
- 1 (for 2^0)

### Step 3: Multiply Each Binary Digit by its Weightage
Now we will multiply each binary digit by its corresponding weightage:
- 1 × 64 = 64
- 0 × 32 = 0
- 0 × 16 = 0
- 1 × 8 = 8
- 0 × 4 = 0
- 0 × 2 = 0
- 1 × 1 = 1

### Step 4: Add the Results
Now, we will add all the results from the multiplications:
- 64 + 0 + 0 + 8 + 0 + 0 + 1 = 73

### Conclusion
Thus, the decimal equivalent of the binary number `1001001` is **73**.

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