Question

Convert the following binary to decimal number . a). 101101 ​

Answer 1

First things first you have to do write it down which you did
step 2: then you multiply each digit of the binary number by the corresponding power of 2: 1x25 + 0x24 + 1x23 + 1x22 + 0x21 + 1x2 0
step 3: solve the powers: 1x32 + 0x16 + 1x8 + 1x4 + 0x2 + 1x1 = 32 + 0 + 8 + 4 + 0 + 1
step 4: add the numbers written above

32 + 0 + 8 + 4 + 0 + 1 = 45.
So, 45 is the decimal equivalent of the binary number 101101.

Answer 2

$(101101)_2\\\\=1\times 2^5 + 0 \times 2^4 + 1 \times 2^3 +1 \times 2^2 + 0 \times 2^1+1 \times 2^0\\\\=32+0+8+4+0+1\\\\=(45)_{10}$