Question

We all know that a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" (zero) and "1" (one). For eg:- 3 written as 11, 4 as 100, 5 as 101 and so on. And if we now increase the base we get base 3 form then base 4 form and so on. Like 15 in base 3 will be written as:- 120 = 3^2(1) + 3^1(2) + 3^0(0). The method to find the base is easy: you keep on dividing the decimal number with the base and note their remainder until the number becomes 0. It’s easy to see that in the base representation none of the digits can be equal to base or exceed it keeping that in mind the addition and subtraction operation will be performed. For eg in base 3 :- 120 + 110 = 1000. In decimal it will be 15 + 12 = 27. Also if the base exceeds 10 then we will use A,B,C,D.. instead of 10,11,12…..

What will be the length of the longest answer for the sum of 78 + 87 in any base.(Consider the numbers to be in the base form)

3

4

5

6​

Answer 1

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit.