The binary AND operation is performed bit by bit between two binary numbers. Here are the steps to find the binary AND operation of the numbers “100101” and “110011”:

1. Write down the two numbers one below the other, aligning the bits:

```
100101
110011
```

2. Perform the AND operation for each pair of bits. The AND operation returns 1 if both bits are 1, otherwise it returns 0:

```
100101
110011
------
100001
```

So, the result of the binary AND operation of “100101” and “110011” is “100001”.

To convert this binary number to decimal:

1. Write down the binary number and assign powers of 2 to each bit starting from the rightmost bit (which is 2^0) and going to the left:

```
1*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 0*2^1 + 1*2^0
```

2. Calculate the value for each bit:

```
32 + 0 + 0 + 0 + 0 + 1
```

3. Add up all the values:

```
32 + 1 = 33
```

So, the decimal equivalent of the binary number “100001” is 33.

Question

The binary AND operation is performed bit by bit between two binary numbers. Here are the steps to find the binary AND operation of the numbers “100101” and “110011”:

1. Write down the two numbers one below the other, aligning the bits:

```
100101
110011
```

2. Perform the AND operation for each pair of bits. The AND operation returns 1 if both bits are 1, otherwise it returns 0:

```
100101
110011
------
100001
```

So, the result of the binary AND operation of “100101” and “110011” is “100001”.

To convert this binary number to decimal:

1. Write down the binary number and assign powers of 2 to each bit starting from the rightmost bit (which is 2^0) and going to the left:

```
1*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 0*2^1 + 1*2^0
```

2. Calculate the value for each bit:

```
32 + 0 + 0 + 0 + 0 + 1
```

3. Add up all the values:

```
32 + 1 = 33
```

So, the decimal equivalent of the binary number “100001” is 33.

Knowee AI · Accepted Answer