Master Number System Conversions in 2.5 hours

Learn to build a binary–octal conversion table to simplify conversions between binary and octal. Construct an eight-row, three-column table of zeros and ones using powers of two to compute values.

Practice octal to binary conversion using a whole-number example, converting 25 octal to 10101 binary via digit-wise mapping.

Convert an octal floating-point number to binary by mapping each octal digit to its three-bit binary equivalent; 76.4 octal becomes 111110.100 binary.

This lecture shows converting a binary floating point number to octal by grouping bits in threes around the decimal and using a lookup table, yielding 3.4 octal.

learn how to build a 16x4 conversion table for hexadecimal and binary values, fill it with zeros and ones using powers of two, and perform hex‑binary conversions with the table.

Convert hexadecimal numbers to binary using a 16-rule table, illustrated with a whole-number example 64 in hexadecimal, yielding binary 01100100.

Convert hexadecimal numbers to binary by mapping each hex digit to its binary value and preserving the decimal point, demonstrated with 5, c, and e in a floating point example.

Learn to convert a binary whole number to hexadecimal by grouping four bits from the right, padding with zeros, and mapping each 4-bit group to hex digits using the table.

Convert a binary floating point number to hexadecimal by grouping bits into fours from the decimal point, using a lookup table, and mapping 4-bit groups to hex digits, yielding 3.d.

Master octal to binary, binary to hexadecimal, and hexadecimal to octal conversions, and get an introduction to octal to hex and hex to octal in this number system course.

Explore octal to binary conversion with a step-by-step example, then convert the resulting binary to hexadecimal by grouping bits around the decimal point.

Master how to convert hexadecimal to binary and then to octal by grouping bits from binary and using a table, demonstrated with digits like 5, a, and b.

Explore how to convert decimal to binary, octal, and hexadecimal using the whole-number method, dividing by the target base (2, 8, or 16) for accurate results.

Learn how to convert decimal to binary for whole numbers using division by two and remainders, and reconstruct the binary digits from bottom to top.

Explain decimal to octal conversion by dividing by eight and reading remainders from bottom up; using 798 decimal, octal result is 1436, then move on to decimal to hexadecimal next.

Convert decimal to hexadecimal by dividing by 16 and recording remainders, then read from bottom to top; 798 decimal equals 31e hexadecimal, illustrating whole-number base conversions.

Learn how to convert decimal numbers to other bases using floating point representations, with a focus on binary, and understand how this process differs from whole-number conversions.

Master decimal to binary conversion using floating point numbers by repeatedly multiplying by two, extracting integer and fractional parts, until the fraction vanishes, yielding 0.101 in binary.

Convert decimal fractions to octal by multiplying the fractional part by eight and recording the resulting integer digits as octal; for example, 0.015625 becomes 0.01 octal until the fraction vanishes.

Convert decimal fractions to hexadecimal by repeatedly multiplying the fractional part by 16 and recording the resulting hex digits; show how 0.93 decimal becomes 0.e147 in hexadecimal after several iterations.

Learn to convert decimals with whole and fractional parts to binary by converting the integer and fractional parts separately and then combining the results, as shown with 198.625.

Learn to convert decimals with a whole and fractional part to octal. The whole part becomes 1436, the fractional part 0.01, giving 1436.01.

Convert a decimal number with a whole and fractional part to hexadecimal, using 798.93, showing 798 equals 31e and 0.93 equals .ee147, for a final 31e.ee147 hex.

Learn how to convert numbers from binary and other bases into decimal, and translate hexadecimal to decimal.

master binary to decimal conversions, covering whole numbers and floating-point parts, using powers of two and negative powers, with examples like 1011 binary equals 11 and 1011.101 equals 11.625.

Master octal to decimal conversions by solving whole and floating point parts with powers of eight, showing 106 octal equals 70 and 0.32 octal equals 0.40625.

Convert hexadecimal numbers to decimal for whole numbers and floating-point values using base-16 powers, with practical examples such as 13A.

Convert between binary, decimal, octal, and hexadecimal, apply distinct methods for whole numbers and floating point numbers, and convert decimal to other bases and back to decimal.