Bristol Brunel Academy Computing

Convert denary to binary & vice versa & add 8bit binary

What is Binary and Denary?

Binary is the only language a computer can understand. The binary numeral system or base-2 number system , represents numeric values using two symbols: 0 and 1 Binary decimal numbering system is 1,2,4,8,16,32,64,128. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices such as mobile phones. The Denary decimal numbering system is the most widely used in the world. It has a base of 10 and uses the numerals 0,1,2,3,4,5,6,7,8,9. Even though computers are based on the binary system, they most commonly convert numbers into the denary system to make them easy to understand by people.

How to convert binary to denary and vice versa.

convert binary to denary and vice versa.

For example to convert 176(denary) to binary

Step 1

176 >= 128 = 1 and remainder of 48

Step 2

48 >= 64 = 0 remainder 48

Step 3

48>= 32 = 1 remainder 16

Step 4

16 >=16= 1 remainder 0

Step 5

0 >= 8 = 0

0>= 4 = 0

0>= 2 = 0

0>= 1 = 0

Step 6 = put together the binary numbers that was times so 10110000

176 denary = 10110000 binary.


For example binary 10101010 to denary.

1 x 1 = 1

2 x 0 =0

4 x 1 =4

8 x 0 =0

16 x 1 =16

32 x 0 =0

64 x 1 =64

128 x 0 =0

The numbers are times by the binary.


1

4

16

64

+ equals= 85

so the denary is 85


85 denary = 10101010 binary