In binary numbers...
1 = 1
2 = 10
4 = 100
8 = 1000
16 = 10000
32 = 100000
64 = 1000000
128 = 10000000
To express a number in binary, first we find the greatest power of 2 which is less than or equal to the value. The first powers of 2 are: 1, 2, 4, 8, 16, 32, 64, 128, 256, ... The highest value we will use here is 128 (the 7th power of 2). So far we have: 10000000 (binary) = 128. Next we need to subtract 128 from 167 to find the remaining value. 167 - 128 = 39. The next value we should use is 32 because it is the largest value still less than or equal to 39. Now we have: 10100000 (binary) = 128 + 32 = 160. 39 - 32 = 7, so now we choose a 4. 10100100 (binary) = 128 + 32 + 4 = 164. Now a 2 and a 1 will finish the process. 10100111 (binary) = 128 + 32 + 4 + 2 + 1 = 167.
11001000 Which is: (working from left to right) 1 times 128 1 times 64 0 times 32 0 times 16 1 times 8 0 times 4 0 times 2 0 times 1 So, 128+64+8=200
The first digit is worth 20 (or 1), the second 21 (or 2), the third 22 (or 4), the fourth 23 (or 8), the fifth 24 (or 16), the sixth 25 (or 32) and so on. 001100 is thus 0x1 + 0x2 + 1x4 + 1x8 + 0x16 + 0x32 = 4 + 8 = 12
Starting at the right with the "ones", the value of each successive place doubles. So: 1, 2, 4, 8, 16 etc. The value of the place is either 0 x that number or 1 x that number. You figure out the value of each place and add them up. So you have: 0 x 1 =0 0 x 2 =0 1 x 4 =4 1 x 8 =8 1 x 16 =16 0 x 32 =0 1 x 64 =64 1 x 128 =128 1 x 256 =256 0 x 512 =0 0 x 1024 =0 1 x 2048 =2048 0 x 4096 =0 1 x 8192=8192 _______+_____ 10716
11111111 = 255 in standard binary. think of it like so: 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 1 1 1 1 1 1 1 1 in other words, (1x128) + (1x64) etc. etc. In Signed Binary however, this would equal -127 since in signed binary, the first bit represents the sign for plus or minus. e.g 0 = +, 1 = -. as such: Plus or minus | 64 | 32 | 16 | 8 | 4 | 2 | 1 1 (-) 1 1 1 1 1 1 1
The binary number is 11101110. A binary number represents exponential values of 2, in this case 8 digits for 128, 64, 32, 16, 8, 4, 2, and 1 238 = 128 + 64 + 32 + (0x16) + 8 + 4 + 2 + (0x1)
160 converted to binary Start with highest number 128 goes into 160 (160 - 128 = 32) 64 does not go into 32 32 goes into 32 (32 - 32 = 0) rest of numbers are zeros. 128 64 32 16 8 4 2 1 1 0 1 0 0 0 0 0 Binary number is 1010000
The number 189 in binary is the eight-digit number 10111101. The digits in a binary number are exponents of 2 rather than 10, so that for an eight-digit number in binary, the digit places represent 128, 64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10. 10111101 = 128 + (0x64) + 32 +16 + 8 + 4 + (0x2) + 1 = 189
This is the decimal value 181. A binary number uses exponents of 2 rather than 10, and the 8 digits represent 128, 64, 32, 16, 8, 4, 2, and 1 10110101 = 128 + (0x64) + 32 + 16 + (0x8) + 4 + (0x2) + 1 = 181
The number 240 in binary is the eight-digit number 11110000. The digits in a binary number are exponents of 2 rather than 10, so that for an eight-digit number in binary, the digit places represent 128, 64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10. 11110000 = 128 + 64 + 32 +16 + (0x8) + (0x4) + (0x2) + (0x1) = 240 (base 10)
The binary number 11011010 is the decimal number 218. The digits in a binary number are exponents of 2 rather than 10, so that for an eight-digit number in binary, the digit places represent 128, 64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10. 11011010 = 128 + 64 + (0x32) +16 + 8 + (0x4) + 2 + (0x1) = 218
the largest number you can get in binary with 8 bits is 11111111.in base ten, you would add up like so: 1+2+4+8+16+32+64+128+256.This equals 511.In binary with 8 bits you get 11111111. In base ten, that is 1+2+4+8+16+32+64+128 which is 255.
It is 10110100. 128 + 32 + 16 + 4 = 180
11110000 in decimal(1 * 128) + (1* 64) + (1 * 32) + (1 * 16) + (0 * 8) + (0 * 4) + (0 * 2) + (0 * 1) =128 + 64 + 32 + 16 + 0 + 0 + 0 + 0 =240
128 + 0 + 32 + 16 + 0 + 4 + 0 + 1 = 181
1111 1111 1 2 4 8 16 32 64 128 = 255
To express a number in binary, first we find the greatest power of 2 which is less than or equal to the value. The first powers of 2 are: 1, 2, 4, 8, 16, 32, 64, 128, 256, ... The highest value we will use here is 128 (the 7th power of 2). So far we have: 10000000 (binary) = 128. Next we need to subtract 128 from 167 to find the remaining value. 167 - 128 = 39. The next value we should use is 32 because it is the largest value still less than or equal to 39. Now we have: 10100000 (binary) = 128 + 32 = 160. 39 - 32 = 7, so now we choose a 4. 10100100 (binary) = 128 + 32 + 4 = 164. Now a 2 and a 1 will finish the process. 10100111 (binary) = 128 + 32 + 4 + 2 + 1 = 167.