Question

Convert the following binary number into decimal numbera. 1011 b. 100110 lo c. 11001 d. 10101​

Answer 1

Answer:

a. 11

b. 38

c. 21

Explanation:

please mark brilliant and give me thanks ❤❤❤

Answer 2

Answer:

A. Step by step solution

Step 1: Write down the binary number:

1011

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

1x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x8 + 0x4 + 1x2 + 1x1 = 8 + 0 + 2 + 1

Step 4: Add up the numbers written above:

8 + 0 + 2 + 1 = 11.

So, 11 is the decimal equivalent of the binary number 1011.

B. Step by step solution

Step 1: Write down the binary number:

100110

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

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

Step 3: Solve the powers:

1x32 + 0x16 + 0x8 + 1x4 + 1x2 + 0x1 = 32 + 0 + 0 + 4 + 2 + 0

Step 4: Add up the numbers written above:

32 + 0 + 0 + 4 + 2 + 0 = 38.

So, 38 is the decimal equivalent of the binary number 100110.

C. 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.

D. Step by step solution

Step 1: Write down the binary number:

10101

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

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

Step 3: Solve the powers:

1x16 + 0x8 + 1x4 + 0x2 + 1x1 = 16 + 0 + 4 + 0 + 1

Step 4: Add up the numbers written above:

16 + 0 + 4 + 0 + 1 = 21.

So, 21 is the decimal equivalent of the binary number 10101.