You can create binary (base 2) numbers by adding exponents of 2, rather than exponents of 10 as in the decimal system. Binary numbers are used for basic computers because the 0 or 1 or 0 can be expressed as a switch, where 1 is on, and 0 is off.
Starting at the right you have 1's, as in decimals. Moving to the left, you have columns that double in value, rather than 10 times the value. The only values used are either 0 or 1.
For the number 111 in binary, the three ones are not one "hundred" plus one "ten" plus one "one"and eleven, but rather one (22 = 4), one (21 = 2) plus one (20 =1).
1 1 1 (binary) = 4 + 2 + 1 = 7
and
101 (binary) = 4 + 0 + 1 = 5
The column values for the first 8 digits are
128, 64, 32, 16, 8, 4, 2, 1
so the number 00011010 = 16 + 8 + 0 + 2 + 0 = 26
The first few numbers, arranged 4 bits (0's and 1's) to a "word":
1 = 0001
2 = 0010
3 = 0011
4 = 0100
5 = 0101
6 = 0110
7 = 0111
8 = 1000
9 = 1001
10 = 1010
11 = 1011
12 = 1100
13 = 1101
14 = 1110
15 = 1111
16 = 0001 0000
17 = 0001 0001
18 = 0001 0010
19 = 0001 0011
20 = 0001 0100
21 = 0001 0101
22 = 0001 0110
23 = 0001 0111
24 = 0001 1000
100 would be 0110 0100
(0x128)+(1x64)+(1x32)+(0x16)+(0x8)+(1x4)+(0x2)+(0x1)
They are binary. They can be High (1) or low (0).Old joke: There are 10 types of people! Those that understand binary and those that do not.
1 + 1 = 10 in binary numbers.
Normally 1 - 1 = 0 the binary number for 1 is 1 the binary number for 2 is 10 the binary number for 3 is 11 3 - 2 = 1 The binary form of that equation is 11 - 10 = 1 The binary inverse operation would be 1 + 10 = 11 The rest is binary math 11 + 10 = 101 10 + 10 = 100 101 - 1 = 100 100 - 1 = 11 11 - 1 = 10 10 - 1 = 1 1 - 1 = 0 Therefore according to the pattern being displayed, the binary code for zero is 0.
The binary number 1111 is 15. The digits in a binary number are exponents of 2 rather than 10, so that for a four digit number in binary, the digit places represent 8, 4, 2, 1 instead of increasing values of 10. 1111 = 8+4+2+1 = 15
0 & 1
The number 23 is 10111 in binary. The digits in a binary number are exponents of 2 rather than 10, so that for a five digit number in binary, the digit places represent 16, 8, 4, 2, 1 instead of increasing values of 10. 10111 = 16+0+4+2+1 = 23
Answer: 2The values are 0 or 1.
The number 75 in binary is 1001011. The digits in a binary number are exponents of 2 rather than 10, so that for a seven digit number in binary, the digit places represent 64, 32, 16, 8, 4, 2, 1 instead of increasing values of 10. 1001011 = 64+0+0+8+0+2+1 = 75
Our system uses 10 numbers: 0123456789. Binary only uses 0 and 1. Our 1 is binary 1, but because there are no more numbers to use, our 2 is binary 10, our 3 is binary 11, our 4 is binary 100, and so on.
1 plus 1 = 2
10
Answer: 2The values are 0 or 1.