Question

Convert the binary number to its decimal equivalent 101011101 *​

Answer 1

ANSWER

(101011101)2 = (349)10

(101011101)2 = (349)10Step by step solution

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x28 + 0x27 + 1x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x28 + 0x27 + 1x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20Step 3: Solve the powers:

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x28 + 0x27 + 1x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20Step 3: Solve the powers:1x256 + 0x128 + 1x64 + 0x32 + 1x16 + 1x8 + 1x4 + 0x2 + 1x1 = 256 + 0 + 64 + 0 + 16 + 8 + 4 + 0 + 1

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x28 + 0x27 + 1x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20Step 3: Solve the powers:1x256 + 0x128 + 1x64 + 0x32 + 1x16 + 1x8 + 1x4 + 0x2 + 1x1 = 256 + 0 + 64 + 0 + 16 + 8 + 4 + 0 + 1Step 4: Add up the numbers written above:

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x28 + 0x27 + 1x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20Step 3: Solve the powers:1x256 + 0x128 + 1x64 + 0x32 + 1x16 + 1x8 + 1x4 + 0x2 + 1x1 = 256 + 0 + 64 + 0 + 16 + 8 + 4 + 0 + 1Step 4: Add up the numbers written above:256 + 0 + 64 + 0 + 16 + 8 + 4 + 0 + 1 = 349.

(101011101)2 = (349)10Step by step solutionStep 1: Write down the binary number:101011101Step 2: Multiply each digit of the binary number by the corresponding power of two:1x28 + 0x27 + 1x26 + 0x25 + 1x24 + 1x23 + 1x22 + 0x21 + 1x20Step 3: Solve the powers:1x256 + 0x128 + 1x64 + 0x32 + 1x16 + 1x8 + 1x4 + 0x2 + 1x1 = 256 + 0 + 64 + 0 + 16 + 8 + 4 + 0 + 1Step 4: Add up the numbers written above:256 + 0 + 64 + 0 + 16 + 8 + 4 + 0 + 1 = 349.So, 349 is the decimal equivalent of the binary number 101011101.

Step-by-step explanation:

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