Question

Convert the following Base 2 (binary) numbers to base 10(decimal):
11101
1010101

Answer 1

11101=29 in base 10.

1010101=85 in base 10.

Step-by-step explanation:

To convert a binary or Base 2 number into a decimal or base 10 we have multiply respective 1 and 0's to respective powers of 2 and then add them which gives us the decimal number.The LSB(Least Significant Bit) or right most digit in binary number will be multiplied by 2⁰ and increment the power by 1 as we move to the left side or to the MSB(Most Significant Bit).

(11101)₂=1x16+1x8+1x4+0x2+1x1 =16+8+4+1=(29)₁₀.

(1010101)₂=1x64+0x32+1x16+0x8+1x4+0x2+1x1=64+16+4+1=(85₁₀) .