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
The logarithm base 4 of 16 is asking the question "4 raised to what power equals 16?" In this case, 4 squared is equal to 16, so the answer is 2. Therefore, log base 4 of 16 is equal to 2.
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
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.
Oh, what a happy little question! To convert the binary number 11010 to base 10, we simply need to add up the decimal values of each digit. Starting from the right, we have 02^0 + 12^1 + 02^2 + 12^3 + 1*2^4, which equals 26 in base 10. Just like painting, it's all about taking it step by step and enjoying the process!
64.2510 = 64 + 1/4 = 26 + 2-2 = 1000000.01 in base 2.
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
The binary representation of 16 is "10000" in base two.
16
The logarithm base 4 of 16 is asking the question "4 raised to what power equals 16?" In this case, 4 squared is equal to 16, so the answer is 2. Therefore, log base 4 of 16 is equal to 2.
110102 = 1*24 + 1*23 + 0*22 + 1*21 + 0*20 = 1*16 + 1*8 + 0 + 1*2 + 0 = 16 + 8 + 2 = 26