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Why does the binary number 10110 have the decimal value 22?
The binary number 10110 represents (1 x 16) + (0 x 8) + (1 x 4) + (1 x 2) + (0 x 1) and 16 + 4 + 2 = 22.
What is the number 22 in binary form?
An ancient method of converting decimal numbers to binary form is to halve the number until 1 is reached. When halving an odd number round down to the number below (13 halved = 61/2 round down to 6). If the number is even then record a 0, if the number is odd then record a 1. 22 ................is even .......0 22 ÷ 2 = 11..is odd..........1 11 ÷ 2 = 5....is odd..........1 5 ÷ 2 = 2......is even........0 2 ÷ 2 = 1......is odd..........1 The binary equivalent of 22 is therefore 10110
What is the number 27 as a binary number?
The decimal number "27" is written in binary as 11011.This is because binary has a base of 2. This means that the digits are representing multiples of powers of 2 (as opposed to 10 in decimal). This number in binary means (1 * 20) + (1 * 21) + (0 * 22) + (1 * 23) + (1 * 24). In decimal this equals 1 + 2 + 0 + 8 + 16. This, of course, equals 27.
What is the decimal equivalent of the binary number 111.01?
22 + 21 + 20 + 0 + 2-2 equals 7.25
What binary number is represented by the decimal number 11?
In binary this would be written as 1011. This is because in binary (from right to left) the digits in this number mean: (1 * 20) + (1 * 21) + (0 * 22) + (1 * 23). This, of course, is equal to (1 * 1) + (1 * 2) + (0 * 4) + (1 * 8), which equals 1 + 2 + 0 + 8, which equals 11 (in decimal).
