You will need

- Calculator

Instruction

1

For numbers in the hexadecimal system uses the decimal digits from 0 to 9 and Latin letters A to F. A represents decimal 10, F - 15, therefore the decimal

**number**16 in hexadecimal is represented as 10. Any**number**in the hexadecimal system can be represented as a power of 16 multiplied by the coefficient. In order to denote a hexadecimal number, after it decided to put h – the first letter of the Latin word hexametric (hexadecimal).2

In order to represent a decimal

If a decimal

12=Ch

**number**as a hexadecimal, you must divide it by 16 as long as the whole part of the quotient is equal to zero. Each modulo, if it is less than 16, write to the free bytes a hexadecimal number from right to left.If a decimal

**number**less than sixteen, replace it with the appropriate**number of**m hexadecimal system:12=Ch

3

For example, how to represent hexadecimal

46877:16= 2929, 8125

A part 2929, now find the rest:

46877-2929х16=46877-46864=13

The remainder is less than 16, so write it down in hex in the lower byte numbers: Dh

The received integer quotient divide by 16:

2929:16=183,0625

The whole part 183. Find the balance:

2929-183х16=2929-2928=1

Since 1<16, record the balance in the previous category: 1Dh

Again divide the quotient by 16:

183:16=11,4375

Find the balance:

183-11х16=183-176=7

Since 7<16, get the remainder 7 in the previous category of hexadecimal numbers: 71Dh

Quotient divide by 16:

11:16<1.

Integer part of division result is equal to 0, so put 11 in hexadecimal form in byte numbers:

11=Bh, respectively, the whole number will look like this:46877=B71Dh

**number**46877? Divide it by 16, find the the integer part and the remainder:46877:16= 2929, 8125

A part 2929, now find the rest:

46877-2929х16=46877-46864=13

The remainder is less than 16, so write it down in hex in the lower byte numbers: Dh

The received integer quotient divide by 16:

2929:16=183,0625

The whole part 183. Find the balance:

2929-183х16=2929-2928=1

Since 1<16, record the balance in the previous category: 1Dh

Again divide the quotient by 16:

183:16=11,4375

Find the balance:

183-11х16=183-176=7

Since 7<16, get the remainder 7 in the previous category of hexadecimal numbers: 71Dh

Quotient divide by 16:

11:16<1.

Integer part of division result is equal to 0, so put 11 in hexadecimal form in byte numbers:

11=Bh, respectively, the whole number will look like this:46877=B71Dh

4

Check the result of calculations by transfer of the resulting hexadecimal number to decimal:

B71D=Bx16^3+7x16^2+1x16^1+Dx16^0=11x4096+7x256+16+13=46877Результат correct.

B71D=Bx16^3+7x16^2+1x16^1+Dx16^0=11x4096+7x256+16+13=46877Результат correct.

Useful advice

Always check the correctness of the computations by reverse translation from one system to another scaleni.