Number Conversions

Letters in hexadecimal are

10-15, A-F

When converting a Binary to a Octal put them in groups of

3

When converting a Binary to a Hex put them in groups of

4

Convert Binary Number to Octal

Divide Binary into groups of three multiply by 421 in the right to left sequence, add values together within each group each group signifies one place value ex) if one group = 5 and the one to the left = 6, then the octal number is 65

Convert Decimal to Binary

Divide by 2, use remainders read to remainders bottom up if starting from the top vice versa if from the bottom

Convert Binary to Hexadecimal

Group binary number into groups of four multiply by 8421 in the right to left sequence, add values together within each group each group signifies one place value ex) if one group = 15 or F and the one to the left =6 then the hex number is 6F

Convert Binary to Decimal

Start from the right and work to the left Uses a coefficient of two and starts at the power of 0, increase the power by one till the final value in the binary number add all values together

Converting hexadecimal to decimal

Use right to left technique, with a coefficient of 16 and exponent starting at zero and increasing by a value of 1, till the end of the hexadecimal, multiply the values by the corresponding values in the hexadecimal, add together

Converting an octal to a decimal

Use right to left technique, with a coefficient of 8 and exponent starting at zero and increasing by a value of 1, till the end of the octal, multiply the values by the corresponding values in the octal, add together

Convert an Octal to Binary

Use similar method with Binary to Octal filling in the missing place values on the chart

Convert an Hex to Binary

Use the same method as before but filling in the missing place values on the chart