Since 16 is a power of 2, you can directly convert every hexadecimal digits to four binary digits. Look up the equivalent in a table, if you don't know it by heart. Don't forget the zeroes at the left. For example, to convert 3F5(hex), 3 = 0011, F = 1111 and 5 = 0101, so 3F5(hex) = 0011 1111 0101 (binary). In this example you may get rid of the first two zeroes, depending on the application.
To convert base 16 to base 2 DIRECTLY without base 2, consider that each base 16 digit represents four base 2 bits. Just write down the base 2 equivalent for each base 16 digit.0 - 00001 - 00012 - 00103 - 00114 - 01005 - 01016 - 01107 - 01118 - 10009 - 1001A - 1010B - 1011C - 1100D - 1101E - 1110F - 1111Example: 51C35 -> 01011 -> 0001C > 11003 -> 0011So 51C3 -> 0101000111000011(But you should delete the leading 0, hence 101000111000011.)
110010 base 2 has one 2, one 16 and one 32 32 + 16 + 2 = 50 base 10
To convert the binary number 11010 to base 10, you need to multiply each digit by 2 raised to the power of its position from right to left, starting at 0. In this case, the calculation would be: (1 x 2^4) + (1 x 2^3) + (0 x 2^2) + (1 x 2^1) + (0 x 2^0) = 16 + 8 + 0 + 2 + 0 = 26. Therefore, the binary number 11010 is equivalent to the decimal number 26.
10110.0101 Adding terms whose coefficients are 1 = 24 + 22 + 21 + 2-2 + 2-4 = 16 + 4 + 2 + 0.25 + 0.0625 = 22.3125
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26
To convert base 16 to base 2 DIRECTLY without base 2, consider that each base 16 digit represents four base 2 bits. Just write down the base 2 equivalent for each base 16 digit.0 - 00001 - 00012 - 00103 - 00114 - 01005 - 01016 - 01107 - 01118 - 10009 - 1001A - 1010B - 1011C - 1100D - 1101E - 1110F - 1111Example: 51C35 -> 01011 -> 0001C > 11003 -> 0011So 51C3 -> 0101000111000011(But you should delete the leading 0, hence 101000111000011.)
10011110 base 2 = 9E base 16
110010 base 2 has one 2, one 16 and one 32 32 + 16 + 2 = 50 base 10
You can convert this to base ten by re-writing 3096 as a summation of hex powers: 3*16^3 + 0*16^2 + 9*16^1 + 5*16^0 = 12437 in base 10
B5 in base 16.
64.2510 = 64 + 1/4 = 26 + 2-2 = 1000000.01 in base 2.
To convert the binary number 11010 to base 10, you need to multiply each digit by 2 raised to the power of its position from right to left, starting at 0. In this case, the calculation would be: (1 x 2^4) + (1 x 2^3) + (0 x 2^2) + (1 x 2^1) + (0 x 2^0) = 16 + 8 + 0 + 2 + 0 = 26. Therefore, the binary number 11010 is equivalent to the decimal number 26.
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
10110.0101 Adding terms whose coefficients are 1 = 24 + 22 + 21 + 2-2 + 2-4 = 16 + 4 + 2 + 0.25 + 0.0625 = 22.3125
The binary representation of 16 is "10000" in base two.
16
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26