# How do you convert binary to decimal?

#### Understand the Problem

The question is asking for a method or explanation on how to convert a number from binary (base-2) format to decimal (base-10) format, which involves understanding the place value of binary digits.

13

So, the decimal equivalent of the binary number 1101 is 13.

#### Steps to Solve

1. Identify the binary number

Carefully note down the given binary number. For example, let's take the binary number 1101.

1. Assign place values to each binary digit

Each binary digit (bit) has a place value that is a power of 2, starting from the rightmost bit (which has a place value of $2^0$). For the binary number 1101, the place values are:

[ 1 \times 2^3, 1 \times 2^2, 0 \times 2^1, 1 \times 2^0 ]

1. Calculate each term's value

Multiply each binary digit by its corresponding place value:

[ 1 \times 2^3 = 8 ] [ 1 \times 2^2 = 4 ] [ 0 \times 2^1 = 0 ] [ 1 \times 2^0 = 1 ]

1. Sum all the terms

Add the results from the previous step to get the decimal value:

[ 8 + 4 + 0 + 1 = 13 ]

So, the decimal equivalent of the binary number 1101 is 13.

So, the decimal equivalent of the binary number 1101 is 13.