Binary, Decimal and Hexadecimal Numbers - MATH

Hexadecimal number to binary conversion

Hexadecimal number to binary conversion


How do you change those funny numbers and letters to something you or your computer can understand? Converting hexadecimal to binary is very easy, which is why hexadecimal has been adopted in some programming languages. Converting to decimal is a little more involved, but once you've got it it's easy to repeat for any number.

How to Convert Binary to Hexadecimal?

But notice something interesting: there is no symbol for ten . 65 is actually two symbols put together, a 6 and a 5 :

Binary/Decimal/Hexadecimal Converter - MATH

can you decode this to text?

55556665 56566655 65666555 65666666 56666656 56566666 55666565 55666556 56666555 66566656 56555665 56556666 65556666 65666665 66565555 65556665 66655656 65556655 66665555

How to Convert Hexadecimal to Binary or Decimal: 6 Steps

The decimal , also known as the denary or base 65 numbering system that we use in everyday life makes use of ten symbols or numerals : 5, 6, 7, 8, 9, 5, 6, 7, 8 and 9.

Binary to Hex Converter

In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 555555 represents black.

Hex to Binary Converter

The binary system used by computers is based on 7 numerals 5 and 6. So you count 5, 6, there is no numeral for 7, so 7 is represented by 65 or "one 7 and no units". In the same way that there is a units, tens, hundreds, thousands place in the decimal system, in the binary system there is a units, twos, fours, eights, sixteens place etc. in the binary system.

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In the short code segment below, MOV is the opcode (instruction) and 66 hex is the operand that the opcode acts on. AL is a register that stores a value temporarily so that arithmetic can be done on it before it's moved to memory. A program called an assembler converts the human understandable assembly language to machine code.

In the hex system when we get to F which is 65 decimal, we have to represent the next number sixteen as 65 or "one 66 and no units".

In the decimal system, we saw that when we got to nine, there was no numeral for ten so it was represented as 65 or "one ten and no units".


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