How to Decode Binary Numbers: 6 Steps (with Pictures) - wikiHow (2024)

FAQs

How to do binary step by step? ›

To convert from decimal to binary, start by subtracting the biggest place value possible from the decimal number, then place a 1 in that place value column. Next, subtract the second biggest place value possible, and place a 1 in the column. Repeat this process until zero is reached.

6 bit binary number is 000000 to 111111. From right to left, the numbers are 1, 2, 4, 8, 16, 32. 1 + 2 + 4 + 8 + 16 + 32 = 2 x 32 - 1 = 64 - 1 = 63 decimal. The decimal range is 0 to 63.

Remember that in binary 1 is "on: and 0 is "off." Choose the binary number that you want to decode. Give each number a value, starting from the extreme right. For example, using the number 1001001, 1=1, +0=2, +0=4, +1=8, +0=16, +0=32, +1=64.

01001000 01100101 01101100 01101100 01101111 00100001

Those ones and zeros might not look like anything to you, but in binary code the numbers are actually saying “Hello!”

To read binary, find a number that you want to read, and remember to count the places from right to left. Then, multiply each digit by 2 to the power of its place number. For example, if the 3rd place from the right is a 1, you would multiply 1 by 2 to the power of 3 to get 8.

The key to reading binary is separating the code into groups of usually 8 digits and knowing that each 1 or 0 represents a 1,2,4,8,16,32,64,128, ect. from the right to the left. the numbers are easy to remember because they start at 1 and then are multiplied by 2 every time.

Remember that a number between 1 and 63 has been (secretly) chosen, and that the magician is then handed those cards that contain the secret number. The magician then immediately reveals the secret number. How does he do it? He simply adds up the numbers that appear first (the upper-left-hand number) on the card.

Decimal (base 10) - 3 1/3 bits. 3 digits in base 10 up to 999 can be held in 10 bits in base 2. 6 digits in base 10 up to 999,999 can be held in 20 bits in base 2.

What is the easiest way to read a binary number? ›

To understand a number in binary, for whole numbers we need to recognise that the most significant binary digit (or bit for short) is on the left and least significant bit is on the right. As we look right to left, each bit represents a higher power of 2 (because binary is base 2).

Binary numbers can be translated into text characters using American Standard Code for Information Interchange (ASCII) codes to store information in the computer's RAM or CPU. ASCII-capable applications, like word processors, can read text information from the RAM or CPU.

What does 10101 mean in binary? In binary, 10101 converts to 21 in decimal. This can be written in expanded notation as the following equation: 1 x 2^4 + 0 x 2^3 + 1 x 2^2 + 0 x 2^1 + 1 x 2^0 = 16 + 0 + 4 + 0 + 1 = 21.