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What is binary 10110101 in base 2 when you express in base 16?
B5 in base 16.
The relations between base2 and base10 and base16 system?
All of them (as well as other bases) are based on the place-value system: in decimal, each digit has a place-value that is 10 times as much as the digit to the right. In base 2, and base 16, the factors 2 and 16, respectively, are used instead. Base 2 needs 2 different symbols (0 and 1) to represent each digit; base 10 needs 10 symbols (0-9), and base 16 needs 16 different symbols. For this purpose, apart from the digits 0-9, the letters A-F are also used as "digits", where A means 10, B means 11, etc.
What is 16 in base two?
The binary representation of 16 is "10000" in base two.
What is 3210 base 4 plus 210 base 3 plus 10 base 2 in base 10?
Convert each value to base10 & then sum In base4 the places are 1, 4, 16, 64 So 3210 base4 = 3*64 + 2*16 + 1*4 = 228 In base 3 the places are 1, 3, 9,27 So 210 base 3 is 2*9 + 1*3 = 21 In base 2 the places are 1,2,4,8 So 10 base 2 = 1 * 2 = 2 So 228 + 21 + 2 = 251
How is a binary number converted to a decimal number?
This is done in the same manner of converting a number in any non-decimal base (not base 10) to a decimal (base 10) number: In each base system, the place value columns are the base times bigger than the column to its right. The column before the base-point is the units or ones column. The next column left is the 1 × base = base column, the next column left is the base × base = base² column and so on. To convert the number, sum each each digit of the base multiplied by its place value column. For base 2, the place value columns (left from just left of the binary-point) are 1, 2, 2² = 4, 2³ = 8, 16, 32, ... As a binary number only has 1s and 0s, converting a binary number to decimal is simply adding together the value of the place value columns that have a 1. eg 101101₂ = 32 × 1 + 16 × 0 + 8 × 1 + 4 × 1 + 2 × 0 + 1 × 1 = 32 + 8 + 4 + 1 = 45
