Question

convert into the following binary number into decimal number a 11110 b 11101​

Answer 1

Answer:

a) 11110 = 30. as decimal number

b) 11101 = 29. as decimal number

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Answer 2

Answer:

11110

Step by step solution

Step 1: Write down the binary number:

11110

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

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

Step 3: Solve the powers:

1x16 + 1x8 + 1x4 + 1x2 + 0x1 = 16 + 8 + 4 + 2 + 0

Step 4: Add up the numbers written above:Step by step solution

16 + 8 + 4 + 2 + 0 = 30.

So, 30 is the decimal equivalent of the binary number 11110.

11101

Step 1: Write down the binary number:

11101

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

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

Step 3: Solve the powers:

1x16 + 1x8 + 1x4 + 0x2 + 1x1 = 16 + 8 + 4 + 0 + 1

Step 4: Add up the numbers written above:

16 + 8 + 4 + 0 + 1 = 29. This is the decimal equivalent of the binary number 11101.