Binary number through each symbol, in increasing order. Before examining binary counting, it is useful to briefly discuss the more familiar decimal counting system as a frame of reference. Decimal counting uses the ten symbols "0" through "9". Counting begins with the incremental substitution of the least significant digit (rightmost digit) which is often called the "first digit". When the available symbols for this position are exhausted, the least significant digit is reset to "0", and the next digit of higher significance (one position to the left) is incremented ("overflow"), and incremental substitution of the low-order digit resumes. This method of reset
Binary number only two possible outcomes of each partial multiplication: For example, the binary numbers 1011 and 1010 are multiplied as follows: Binary numbers can also be multiplied with bits after a binary point: See also Booth's multiplication algorithm. The binary multiplication table is the same as the truth table of the logical conjunction operation formula_6. Long division in binary is again similar to its decimal counterpart. In the example below, the divisor is 101, or 5 decimal, while the dividend is 11011, or 27 decimal. The procedure is the same as that of decimal long division; here, the divisor 101 goes