Question

which of the following decimal number is equivalent for the binary number 100110​

Answer 1

Answer:

100110)2 = (38)10

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. This is the decimal equivalent of the binary number 100110.

Answer 2

Answer:

helpful then follow

Explanation:

(100110)2 = (38)10

1.write down the binary number 100110

2.multiply each digit of binary number by the corresponding power of two

1*25 + 0*24 + 0*23 + 1*22 + 1*21 + 0*20

3. solve the power

1*32 + 0*16 + 0*8 + 1*4 + 1*2 + 0*1 = 32+0+0+4+2+0=38

as 38 is answer