Question

Convert the binary no into decimal no 1. 11001 =
2. 10010 =
3. 101011 =
4. 0100001 =​

Answer 1

Answer:

1.1001 ,1.0010,and. 1.01 011,0.100001

Answer 2

Answer:

Answer is

Explanation:

1. 11001=

(11001)2 = (25)10

Step by step solution

Step 1: Write down the binary number:

11001

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

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

Step 3: Solve the powers:

1x16 + 1x8 + 0x4 + 0x2 + 1x1 = 16 + 8 + 0 + 0 + 1

Step 4: Add up the numbers written above:

16 + 8 + 0 + 0 + 1 = 25.

So, 25 is the decimal equivalent of the binary number 11001.

2. 10010=

(10010)2 = (18)10

Step by step solution

Step 1: Write down the binary number:

10010

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

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

Step 3: Solve the powers:

1x16 + 0x8 + 0x4 + 1x2 + 0x1 = 16 + 0 + 0 + 2 + 0

Step 4: Add up the numbers written above:

16 + 0 + 0 + 2 + 0 = 18.

So, 18 is the decimal equivalent of the binary number 10010.

3. 101011=

(101011)2 = (43)10

Step by step solution

Step 1: Write down the binary number:

101011

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

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

Step 3: Solve the powers:

1x32 + 0x16 + 1x8 + 0x4 + 1x2 + 1x1 = 32 + 0 + 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 0 + 8 + 0 + 2 + 1 = 43.

So, 43 is the decimal equivalent of the binary number 101011.

4. 0100001=

(0100001)2 = (33)10

Step by step solution

Step 1: Write down the binary number:

0100001

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

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

Step 3: Solve the powers:

0x64 + 1x32 + 0x16 + 0x8 + 0x4 + 0x2 + 1x1 = 0 + 32 + 0 + 0 + 0 + 0 + 1

Step 4: Add up the numbers written above:

0 + 32 + 0 + 0 + 0 + 0 + 1 = 33.

So, 33 is the decimal equivalent of the binary number 0100001.